tag:blogger.com,1999:blog-54262955089571589012024-03-13T23:18:32.214-07:00Free Homework's Help 24/7If you have any issue in your homework's. Please feel free to contact us.yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.comBlogger1222125tag:blogger.com,1999:blog-5426295508957158901.post-28350062756704702742023-03-18T02:46:00.006-07:002023-03-18T02:46:43.111-07:00Inventory is a balance sheet line item that includes all items used in the creation of products. Which of the following is classified as products ready to ship to customers?<p>Inventory is a balance sheet line item that includes all
items used in the creation of products. Which of the following is classified as
products ready to ship to customers?</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">Cash<o:p></o:p></p>
<p class="MsoNormal">Raw materials<o:p></o:p></p>
<p class="MsoNormal"><b>Finished goods</b><o:p></o:p></p>
<p class="MsoNormal">Work in progress<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><b>The products that are ready to ship to customers are
classified as "Finished goods".</b><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Inventory is an asset account on the balance sheet that
includes all items that a company intends to sell, such as raw materials,
work-in-progress, and finished goods. Raw materials are the items that are used
in the production of finished goods, while work-in-progress refers to products
that are still in the production process and are not yet completed. Finished
goods are the final products that are ready to be sold or shipped to customers.
Therefore, finished goods are the inventory items that are classified as
products ready to ship to customers.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-34085074477523453772023-03-18T02:42:00.005-07:002023-03-18T02:42:35.201-07:00The 3-way match takes documents from 3 Departments and matches them before paying a vendor invoice. Choose from the list below one of the departments a document should be received from by accounts payable to perform the match.<p> The 3-way match takes documents from 3 Departments and
matches them before paying a vendor invoice. Choose from the list below one of
the departments a document should be received from by accounts payable to
perform the match.</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">Operations<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Receiving</span><o:p></o:p></p>
<p class="MsoNormal">Marketing<o:p></o:p></p>
<p class="MsoNormal">Sales<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><b>The correct department from which a document should be
received by accounts payable to perform the 3-way match is
"Receiving".</b><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The 3-way match process involves matching three documents -
purchase order, receiving report, and vendor invoice - to ensure that the goods
or services ordered have been received and accepted, the invoice amount is
accurate, and payment is made to the correct vendor. The receiving department
is responsible for verifying that the goods or services have been received as
per the purchase order, and they generate the receiving report, which is an
essential document for the 3-way match process.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-24776446481579375992023-03-18T02:32:00.004-07:002023-03-18T02:32:38.137-07:00Inventory is a balance sheet line item that includes all items used in the creation of products. Which of the following is classified as products in the process of being manufactured?<p> </p><p class="MsoNormal">Inventory is a balance sheet line item that includes all
items used in the creation of products. Which of the following is classified as
products in the process of being manufactured?<o:p></o:p></p>
<p class="MsoNormal">Cash<o:p></o:p></p>
<p class="MsoNormal">Raw materials<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Work in
progress</span><o:p></o:p></p>
<p class="MsoNormal">Finished goods<o:p></o:p></p>
<p class="MsoNormal"><b>The correct answer is "Work in progress".</b><o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-79565078645425739682023-03-18T02:20:00.004-07:002023-03-18T02:20:36.481-07:00Numerous departments are involved in the fixed assets purchases and payment processes. Choose from the list below one of the departments that is involved in the fixed assets purchases and payment processes.<p> Numerous departments are involved in the fixed assets
purchases and payment processes. Choose from the list below one of the
departments that is involved in the fixed assets purchases and payment
processes.</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">Marketing<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Receiving</span><o:p></o:p></p>
<p class="MsoNormal">Operations<o:p></o:p></p>
<p class="MsoNormal">Sales <o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The correct answer is "Receiving." The receiving
department is responsible for physically receiving and inspecting fixed assets
that are purchased, and for verifying that the assets match the purchase order
and invoice. The receiving department also notifies accounts payable and fixed
asset accounting when the assets are received, so that they can be properly
recorded and paid for. Other departments involved in the fixed asset purchase
and payment process may include procurement, finance, and IT.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-73985467909245530632023-03-18T02:16:00.003-07:002023-03-18T02:16:26.653-07:00Numerous departments are involved in the fixed assets purchases and payments processes. Choose from the list below one of the departments that is involved in the fixed assets purchases and payment processes.<p> </p><p class="MsoNormal">Numerous departments are involved in the fixed assets
purchases and payments processes. Choose from the list below one of the
departments that is involved in the fixed assets purchases and payment processes.<o:p></o:p></p>
<p class="MsoNormal">Operations<o:p></o:p></p>
<p class="MsoNormal">Sales<o:p></o:p></p>
<p class="MsoNormal">Marketing<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Fixed
Asset Accounting</span> <o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The correct answer is "Fixed Asset Accounting."<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Fixed Asset Accounting is one of the departments that is
typically involved in the fixed assets purchases and payment processes. This
department is responsible for managing the organization's fixed assets,
including the acquisition, disposal, and depreciation of these assets. They
work closely with other departments, such as purchasing and accounts payable,
to ensure that fixed assets are properly accounted for and that purchases and
payments related to fixed assets are processed accurately and timely.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-66941304596634306862023-03-18T01:38:00.003-07:002023-03-18T01:38:32.188-07:00Vendors collude with one another and reach advance agreement as to the winning bidder for a particular contract. The winning bidder agrees to compensate the other vendors in some manner<p> </p><p class="MsoNormal">Choose the best definition from the list below of bid
rigging<o:p></o:p></p>
<p class="MsoNormal">An external document used to request a supplier to sell and
deliver the products in the quantities and for the prices specified<o:p></o:p></p>
<p class="MsoNormal">A supplier generated document, which shows quantities and
descriptions of items delivered to the receiving department at the specified
warehouse location<o:p></o:p></p>
<p class="MsoNormal">A documents that shows the descriptions and quantities of
goods received from vendors<o:p></o:p></p>
<p class="MsoNormal">Vendors collude with one another and reach advance agreement
as to the winning bidder for a particular contract. The winning bidder agrees
to compensate the other vendors in some manner<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The correct answer is "Vendors collude with one another
and reach advance agreement as to the winning bidder for a particular contract.
The winning bidder agrees to compensate the other vendors in some manner."<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Bid rigging is an illegal practice where vendors collude
with each other to determine the winning bidder for a particular contract in
advance. This may involve the submission of artificially high bids from
competing vendors to make the pre-determined winning bid appear more
competitive. In some cases, the winning bidder may agree to compensate the
other vendors in some manner, such as by awarding them a separate contract or
by providing them with subcontracts. Bid rigging is typically considered a
violation of antitrust laws and can result in civil or criminal penalties.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-77380173348176109452023-03-18T01:25:00.005-07:002023-03-18T01:25:30.428-07:00At what phase of maturity would a company be that has implemented a HR and payroll module in a fully integrated enterprise resource planning system?<p> </p><p class="MsoNormal">At what phase of maturity would a company be that has
implemented a HR and payroll module in a fully integrated enterprise resource
planning system?<o:p></o:p></p>
<p class="MsoNormal">Phase 3-Defined<o:p></o:p></p>
<p class="MsoNormal">Phase 1 -Limited<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Phase
4-Optimized</span><o:p></o:p></p>
<p class="MsoNormal">Phase 2 -Informal<o:p></o:p></p><p class="MsoNormal"><br /></p><p class="MsoNormal">Answer</p><p class="MsoNormal"><span style="background-color: yellow;">Phase 4-Optimized</span></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-10191164197459126722023-03-18T01:19:00.004-07:002023-03-18T01:19:31.511-07:00Which of the following events constitutes an employee termination?<p> Which of the following events constitutes an employee
termination?</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">Retirement<o:p></o:p></p>
<p class="MsoNormal">Death<o:p></o:p></p>
<p class="MsoNormal">Layoff<o:p></o:p></p>
<p class="MsoNormal"><b>All of these answers are correct<o:p></o:p></b></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><b>The correct answer is "All of these answers are correct."</b><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">An employee termination is any event that results in the end
of an employment relationship between an employer and employee. This can
include retirement, death, and layoff, as well as other events such as
resignation, termination for cause, or the expiration of a contract. When an
employee is terminated, their access to company resources and systems is
typically revoked, and their final paycheck is calculated and paid out
according to applicable laws and regulations.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-62202013572813710572023-03-18T01:15:00.003-07:002023-03-18T01:15:32.630-07:00What type of processing accumulates transaction into groups and processes them at regular intervals?<p> </p><p class="MsoNormal">What type of processing accumulates transaction into groups
and processes them at regular intervals?<o:p></o:p></p>
<p class="MsoNormal">Real-time<o:p></o:p></p>
<p class="MsoNormal">Journal<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Batch</span><o:p></o:p></p>
<p class="MsoNormal">Group<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The correct answer is "Batch."<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Batch processing is a method of processing transactions
where transactions are accumulated into groups and then processed at regular
intervals. The processing of the transactions in the batch is done all at once,
rather than individually in real-time. This is often used for tasks such as
payroll processing, where it is more efficient to process all employee
paychecks at once rather than individually.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Real-time processing, on the other hand, processes
transactions as they occur, without any delay. This is often used in
applications such as online transactions, where delays in processing can lead
to issues with customer satisfaction.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">A journal is a record of financial transactions that shows
the debit and credit balances in each account. It is used in accounting to keep
track of financial transactions.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">"Group" is not a type of processing in the context
of this question.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-15000742793785870952023-03-18T01:12:00.001-07:002023-03-18T01:12:05.435-07:00What department is responsible for the employee onboarding process?<p></p><p class="MsoNormal">What department is responsible for the employee onboarding
process?<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Human
resources</span><o:p></o:p></p>
<p class="MsoNormal">Department manager<o:p></o:p></p>
<p class="MsoNormal">Payroll<o:p></o:p></p>
<p class="MsoNormal">All of these answer choices are correct<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><b>The correct answer is "Human resources."<o:p></o:p></b></p>
<p class="MsoNormal"><o:p><b> </b></o:p></p>
<p class="MsoNormal">The employee onboarding process typically falls under the
responsibility of the human resources (HR) department. The HR department is responsible
for managing an organization's workforce, including recruiting and hiring new
employees, and ensuring that they are properly trained and integrated into the
organization. The onboarding process typically involves a series of tasks and
activities, including orientation sessions, completion of paperwork and
documentation, and training on company policies and procedures. While
department managers and payroll may be involved in some aspects of the
onboarding process, the overall responsibility for managing the process
typically falls under the HR department.<o:p></o:p></p><br /><p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-80541338129085677252023-03-18T01:07:00.006-07:002023-03-18T01:07:59.376-07:00Human resources are one of the most important<p> Human resources are one of the most important</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">Collection processes in a business<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Inputs into
a business</span><o:p></o:p></p>
<p class="MsoNormal">Outputs from a business<o:p></o:p></p>
<p class="MsoNormal">Conversion processes in a business<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><b>The correct answer is "Inputs into a business."</b><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Human resources are one of the most important inputs into a
business. They are the people who make up an organization's workforce and are
responsible for carrying out the activities necessary for the organization to
achieve its goals. Human resources are involved in many aspects of a business,
including recruitment, training and development, performance evaluation, and
employee relations. The effectiveness of an organization's human resources can
have a significant impact on its success, as skilled and motivated employees
can help the organization to achieve its goals and objectives.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-27242471581733684982023-03-18T01:04:00.001-07:002023-03-18T01:04:10.106-07:00 The primary purpose of a company is to<p> The primary purpose of a company is to</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">Please shareholders<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Maximize
profits</span><o:p></o:p></p>
<p class="MsoNormal">Pay their employees<o:p></o:p></p>
<p class="MsoNormal">Create products<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><b>The correct answer is "Maximize profits."</b><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The primary purpose of a company is to maximize profits. A
company is a business entity that is formed with the intention of making a
profit by providing goods or services to customers. The shareholders, or
owners, of a company invest capital in the business with the expectation of
earning a return on their investment in the form of profits.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">While paying employees and creating products are important
aspects of a company's operations, the ultimate goal is to generate profits for
the shareholders. This can be achieved by increasing revenue, reducing
expenses, and managing resources efficiently. However, companies are also expected
to operate ethically and in compliance with relevant laws and regulations.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-21252539860238440462023-03-18T00:56:00.010-07:002023-03-18T00:58:25.138-07:00Which of the following is the responsibility of HR during the employee termination process?<p> Which of the following is the responsibility of HR during
the employee termination process?</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">HR answers questions from the departing employee<o:p></o:p></p>
<p class="MsoNormal">HR answers questions from the departing employee’s managers<o:p></o:p></p>
<p class="MsoNormal">HR minimizes potential damage during the termination process<o:p></o:p></p>
<span face=""Calibri",sans-serif" style="font-size: 11pt; line-height: 107%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><span style="color: red;">All of these answer choices are correct</span></span><p></p><div class="separator" style="clear: both; text-align: center;"><br /></div><br /><br /><p></p><p><b>The correct answer is "All of these answer choices are correct."</b></p><p><br /></p><p>The HR department plays a critical role in the employee termination process. During the termination process, HR is responsible for:</p><p><br /></p><p>Answering questions from the departing employee: HR should be available to answer any questions the employee may have about the termination process, such as final pay and benefits, COBRA continuation of health benefits, and unemployment compensation.</p><p><br /></p><p>Answering questions from the departing employee's managers: HR should also be available to answer questions from the departing employee's managers, such as how to handle the employee's workload and how to communicate the termination to the team.</p><p><br /></p><p>Minimizing potential damage during the termination process: HR should ensure that the termination process is handled in a professional and respectful manner to minimize potential damage to the company's reputation and employee morale.</p><p><br /></p><p>Overall, HR should ensure that the termination process is handled in compliance with relevant employment laws and the company's policies and procedures. This includes preparing necessary paperwork, conducting exit interviews, and handling any legal issues that may arise during the termination process.</p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-46460495662986029402023-03-18T00:47:00.003-07:002023-03-18T00:47:55.730-07:00What is at the heart of a company’s payroll business process?<p> </p><p class="MsoNormal">What is at the heart of a company’s payroll business
process?<o:p></o:p></p>
<p class="MsoNormal">Accounting system<o:p></o:p></p>
<p class="MsoNormal">Payroll accounting<o:p></o:p></p>
<p class="MsoNormal">Human resources<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Employees
and their time worked</span><o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The correct answer is "Employees and their time
worked."<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">At the heart of a company's payroll business process is the
employees and their time worked. The payroll process involves calculating
employee compensation based on the number of hours worked, deductions for taxes
and benefits, and other factors such as overtime and vacation time. The payroll
process typically begins with collecting time and attendance data from
employees, which is then used to calculate their paychecks.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The payroll process is closely tied to the human resources function,
as HR is responsible for managing employee records and ensuring that they are
accurate and up to date. Payroll accounting and the company's accounting system
are also important components of the payroll process, as they are used to track
payroll expenses and ensure that they are properly recorded in the company's
financial statements.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-40012274333771394932023-03-18T00:43:00.004-07:002023-03-18T00:43:23.806-07:00Which of the following activities would be a responsibility of the human resources business function?<p> Which of the following activities would be a responsibility
of the human resources business function?</p><p class="MsoNormal"><o:p></o:p></p>
<p class="MsoNormal">Accounting for benefit withholdings<o:p></o:p></p>
<p class="MsoNormal">Financing of inputs<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Performance
evaluation</span> <o:p></o:p></p>
<p class="MsoNormal">Processing payroll<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal"><b>The correct answer is "Performance evaluation."<o:p></o:p></b></p>
<p class="MsoNormal"><o:p><b> </b></o:p></p>
<p class="MsoNormal">The human resources (HR) business function is responsible
for managing an organization's workforce, including employee recruitment,
retention, training, and development. The following activities would be a
responsibility of the HR function:<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Performance evaluation: The HR function is responsible for
assessing employee performance and providing feedback to help employees improve
and grow in their roles.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Recruitment: HR is responsible for finding and hiring
qualified candidates for open positions within the organization.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Retention: HR is responsible for developing programs and
policies to help retain employees, including providing competitive salaries and
benefits, opportunities for growth and development, and a positive work
environment.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Training and development: HR is responsible for providing
training and development programs to help employees improve their skills and
knowledge.<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Processing payroll and accounting for benefit withholdings
are typically handled by the finance or accounting function, while financing of
inputs is typically handled by the finance function.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-61716686043153041422023-03-18T00:34:00.003-07:002023-03-18T00:34:46.489-07:00What kind of human resource (HR) model allows for certain administrative tasks to be performed by third party<p> </p><p class="MsoNormal">What kind of human resource (HR) model allows for certain
administrative tasks to be performed by third party<o:p></o:p></p>
<p class="MsoNormal"><span style="background: yellow; mso-highlight: yellow;">Outsourced
benefits administration</span><o:p></o:p></p>
<p class="MsoNormal">HR service sharing <o:p></o:p></p>
<p class="MsoNormal">Insourced benefits administration<o:p></o:p></p>
<p class="MsoNormal">HR benefits accounting<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">The correct answer is "Outsourced benefits
administration."<o:p></o:p></p>
<p class="MsoNormal"><o:p> </o:p></p>
<p class="MsoNormal">Outsourcing is a human resource (HR) model that involves
hiring a third-party company to handle certain administrative tasks, including
benefits administration, payroll processing, and recruitment. Outsourcing
benefits administration can help organizations reduce costs and improve the
efficiency of their HR operations. In this model, the third-party company is
responsible for managing employee benefits, including health insurance,
retirement plans, and other employee benefits. The organization retains overall
control of the benefits program, but the third-party provider takes care of
day-to-day administration.<o:p></o:p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-34297073005902677232020-11-06T05:12:00.000-08:002020-11-13T06:59:23.912-08:00BluStar Company has two service departments, Administration and Accounting, and two operating departments, Domestic and International. Administration costs are allocated on the basis of employees, and Accounting costs are allocated on the basis of number of transactions. A summary of BluStar operations follows.<p> BluStar Company has two service departments, Administration and Accounting, and two operating departments, Domestic and International. Administration costs are allocated on the basis of employees, and Accounting costs are allocated on the basis of number of transactions. A summary of BluStar operations follows.</p><p></p><div class="separator" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img alt="" border="0" class="placeholder" height="240" id="858c66bb9fa41" src="https://www.blogger.com/img/transparent.gif" style="background-color: #d8d8d8; background-image: url('https://fonts.gstatic.com/s/i/materialiconsextended/insert_photo/v6/grey600-24dp/1x/baseline_insert_photo_grey600_24dp.png'); background-position: center; background-repeat: no-repeat; opacity: 0.6;" width="567" /></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p>Required:</p><p>a. Allocate the cost of the service departments to the operating departments using the direct method.</p><p></p><div class="separator" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em; text-align: center;"><img alt="" border="0" class="placeholder" height="240" id="f695da5ca4c7d" src="https://www.blogger.com/img/transparent.gif" style="background-color: #d8d8d8; background-image: url('https://fonts.gstatic.com/s/i/materialiconsextended/insert_photo/v6/grey600-24dp/1x/baseline_insert_photo_grey600_24dp.png'); background-position: center; background-repeat: no-repeat; opacity: 0.6;" width="564" /></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p>b. Allocate the cost of the service departments to the operating departments using the step method. Start with Administration.</p><p></p><div class="separator" style="clear: both; text-align: center;"><img alt="" border="0" class="placeholder" height="240" id="f2d8937f7cdf2" src="https://www.blogger.com/img/transparent.gif" style="background-color: #d8d8d8; background-image: url('https://fonts.gstatic.com/s/i/materialiconsextended/insert_photo/v6/grey600-24dp/1x/baseline_insert_photo_grey600_24dp.png'); background-position: center; background-repeat: no-repeat; opacity: 0.6;" width="320" /></div><br /><br /><p></p><p><br /></p><p>c. Allocate the cost of the service departments to the operating departments using the reciprocal method.</p><p>Thanks</p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com1tag:blogger.com,1999:blog-5426295508957158901.post-5526704864058423862020-11-06T05:08:00.004-08:002020-11-06T05:08:37.845-08:00Great Eastern Credit Union (GECU) has two operating departments (Branches and Electronic) and three service departments (Processing, Administration, and Maintenance). During July, the following costs and service department usage ratios were recorded:<p> Great Eastern Credit Union (GECU) has two operating departments (Branches and Electronic) and three service departments (Processing, Administration, and Maintenance). During July, the following costs and service department usage ratios were recorded:</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-8afg4eBeBWg/X6VKIU-_wfI/AAAAAAAACZ4/FySAlB2ZsrURAKmZgmKwB-hbqnrxFMlUgCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="160" data-original-width="884" height="114" src="https://lh3.googleusercontent.com/-8afg4eBeBWg/X6VKIU-_wfI/AAAAAAAACZ4/FySAlB2ZsrURAKmZgmKwB-hbqnrxFMlUgCLcBGAsYHQ/w628-h114/image.png" width="628" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p>Required:</p><p>Allocate the service department costs to the two operating departments using the reciprocal method.</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-remE9IdIm7I/X6VKTge_UFI/AAAAAAAACZ8/UD9vgBQ1-DIvmjsw_2CO--ROfkY-XUBUQCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="200" data-original-width="877" height="125" src="https://lh3.googleusercontent.com/-remE9IdIm7I/X6VKTge_UFI/AAAAAAAACZ8/UD9vgBQ1-DIvmjsw_2CO--ROfkY-XUBUQCLcBGAsYHQ/w551-h125/image.png" width="551" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p>Explanation</p><p>The key to this problem is to recognize that Administration provides no service to either of the other two service departments and that Processing only provides services to Administration and not to Maintenance. Therefore, there are no reciprocal services between Administration and the other service departments or between Processing and Administration.</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-Be9g6FTuTAw/X6VKqeE60gI/AAAAAAAACaE/vGCHYEegdco8uivJxE0kRCk6zM9vjYNrgCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="588" data-original-width="987" height="331" src="https://lh3.googleusercontent.com/-Be9g6FTuTAw/X6VKqeE60gI/AAAAAAAACaE/vGCHYEegdco8uivJxE0kRCk6zM9vjYNrgCLcBGAsYHQ/w555-h331/image.png" width="555" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p>Thanks</p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com1tag:blogger.com,1999:blog-5426295508957158901.post-84509172421609752682020-11-06T05:03:00.005-08:002020-11-06T05:03:50.868-08:00Blasto, Inc., operates several mines. At one, a typical batch of ore run through the plant yields three products: lead, copper, and manganese.<p> Blasto, Inc., operates several mines. At one, a typical batch of ore run through the plant yields three products: lead, copper, and manganese. At the split-off point, the intermediate products cannot be sold without further processing. The lead from a typical batch sells for $42,000 after incurring additional processing costs of $11,550. The copper is sold for $90,000 after additional processing costs of $17,500, and the manganese yield sells for $61,000 but requires additional processing costs of $18,950. The joint costs of processing the raw ore, including the cost of mining, are $110,000 per batch.</p><p>Required:</p><p>Use the estimated net realizable value method to allocate the joint processing costs.</p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-iLdugSpe0is/X6VJF-RPitI/AAAAAAAACZc/NhTX2fnOm5cYrXi3jy4Bd373zk08SjYUwCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="155" data-original-width="919" height="91" src="https://lh3.googleusercontent.com/-iLdugSpe0is/X6VJF-RPitI/AAAAAAAACZc/NhTX2fnOm5cYrXi3jy4Bd373zk08SjYUwCLcBGAsYHQ/w539-h91/image.png" width="539" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-a8K4joTT7dI/X6VJQ1kI7SI/AAAAAAAACZg/0up6RHOK_Wk3C1pzQitELaHyAHtJO4H1wCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="459" data-original-width="799" height="294" src="https://lh3.googleusercontent.com/-a8K4joTT7dI/X6VJQ1kI7SI/AAAAAAAACZg/0up6RHOK_Wk3C1pzQitELaHyAHtJO4H1wCLcBGAsYHQ/w512-h294/image.png" width="512" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p></p><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-0PT6hueRtWk/X6VJeu3Z7eI/AAAAAAAACZo/ZGGeqM-vUoAga2exx5iqPtqj_Fk-pcI3QCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="671" data-original-width="959" height="383" src="https://lh3.googleusercontent.com/-0PT6hueRtWk/X6VJeu3Z7eI/AAAAAAAACZo/ZGGeqM-vUoAga2exx5iqPtqj_Fk-pcI3QCLcBGAsYHQ/w547-h383/image.png" width="547" /></a></div><br /><br /><p></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p><br /></p><p>Thanks</p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-39481171998472283972020-11-06T04:58:00.001-08:002020-11-06T04:58:11.921-08:00Fisher Chemicals processes a liquid into three outputs: Sigma, Tau, and Upsilon. Sigma accounts for 59 percent of the net realizable value at the split-off point, Tau accounts for 32 percent, and Upsilon accounts for the balance.<p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;">Fisher Chemicals processes a liquid into three outputs: Sigma, Tau, and Upsilon. Sigma accounts for 59 percent of the net realizable value at the split-off point, Tau accounts for 32 percent, and Upsilon accounts for the balance. The joint costs total $637,000. If Upsilon is accounted for as a by-product, its $66,000 net realizable value at split-off is credited to the joint manufacturing costs using method 1 described in the text, which credits the by-product’s net realizable value as a reduction in the joint costs.<br /> </p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;">Required:</span></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;">a-1.</span> What are the allocated joint costs for the three outputs, if Upsilon is accounted for as a joint product?</p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-5gUXvDIJ3jQ/X6VHdaKXUJI/AAAAAAAACY8/kRdkU3TTyFQkwS063MByj55IuDro3nmjgCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="157" data-original-width="325" height="155" src="https://lh3.googleusercontent.com/-5gUXvDIJ3jQ/X6VHdaKXUJI/AAAAAAAACY8/kRdkU3TTyFQkwS063MByj55IuDro3nmjgCLcBGAsYHQ/image.png" width="320" /></a></div><br /><br /><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;"><br /></span><p></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;"><br /></span></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;"><br /></span></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;"><br /></span></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;"><br /></span></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;"><br /></span></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;"><br /></span></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;"><br /></span></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><span style="border: 0px; font-family: inherit; font-size: inherit; font-stretch: inherit; font-style: inherit; font-variant: inherit; font-weight: 700; line-height: inherit; margin: 0px; padding: 0px;">a-2. </span>What are the allocated joint costs for the three outputs, if Upsilon is accounted for as a by-product?</p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"></p><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-jKIKnGzS-7k/X6VHoh02AbI/AAAAAAAACZA/hGiMb-5o8-M9R_hkbxHQx1T1uaH6-4LAgCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="141" data-original-width="316" height="143" src="https://lh3.googleusercontent.com/-jKIKnGzS-7k/X6VHoh02AbI/AAAAAAAACZA/hGiMb-5o8-M9R_hkbxHQx1T1uaH6-4LAgCLcBGAsYHQ/image.png" width="320" /></a></div><br /><br /><p></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;">Explanation</p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"></p><div class="separator" style="clear: both; text-align: center;"><br /></div><div class="separator" style="clear: both; text-align: center;"><a href="https://lh3.googleusercontent.com/-CnCLxRvHvkc/X6VIOF8E_xI/AAAAAAAACZM/CM763K5nDcQ5z9y3aVOz60XJVRmQ-yFDQCLcBGAsYHQ/image.png" style="clear: left; float: left; margin-bottom: 1em; margin-right: 1em;"><img alt="" data-original-height="703" data-original-width="563" height="421" src="https://lh3.googleusercontent.com/-CnCLxRvHvkc/X6VIOF8E_xI/AAAAAAAACZM/CM763K5nDcQ5z9y3aVOz60XJVRmQ-yFDQCLcBGAsYHQ/w337-h421/image.png" width="337" /></a></div><br /><br /><br /><p></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;"><br /></p><p style="background-color: white; border: 0px; color: #252525; font-family: proxima-nova-soft, sans-serif; font-stretch: inherit; font-variant-east-asian: inherit; font-variant-numeric: inherit; line-height: inherit; margin: 0px; padding: 0px;">Thanks</p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com1tag:blogger.com,1999:blog-5426295508957158901.post-63934951893414217772020-09-13T13:31:00.001-07:002020-09-13T13:31:49.415-07:00Top 10 Universities in the World 2020 | [Top 10 Best Universities] in t...<iframe allowfullscreen="" frameborder="0" height="270" src="https://www.youtube.com/embed/t9sDdYV1678" width="480"></iframe>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-25663940798348011072020-08-21T08:59:00.004-07:002020-08-21T08:59:55.405-07:00 Durban Corporation is interested in acquiring a machine that it can buy for $140,000 in cash. Alternatively, Durban can make five equal payments of $40,000 each, the first one due after one year, to purchase the same machine. Find the implied interest rate in the second option. <p> <span style="font-size: 11.5pt;">Durban
Corporation is interested in acquiring a machine that it can buy for $140,000
in cash. Alternatively, Durban can make five equal payments of $40,000 each,
the first one due after one year, to purchase the same machine. Find the
implied interest rate in the second option. </span></p><p>Answer</p><p></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">Answer<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">Equal
payments = $40,000, Number = 5, rate =?<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">FV =140,000<o:p></o:p></span></p>
<p class="MsoNormal"><span style="background: white; color: #333333; font-family: "Arial",sans-serif;">PV = annuity x annuity discount factor</span><span style="font-size: 11.5pt; line-height: 107%;"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">140,000 = 40,000
[1-(1+r)^-5]/r]<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">Here <o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">[1-(1+r)^-5]/r]
= </span><span style="background: white; color: #333333; font-family: "Arial",sans-serif;">annuity discount factor</span><span style="font-size: 11.5pt; line-height: 107%;"><o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">140,000/40,000
= </span><span style="background: white; color: #333333; font-family: "Arial",sans-serif;">annuity discount factor</span><o:p></o:p></p>
<p class="MsoNormal"><span style="background: white; color: #333333; font-family: "Arial",sans-serif;">3.50 = annuity discount factor</span><o:p></o:p></p><img alt="" 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" /><p></p><p><br /></p><p></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">So the rate is
almost <b>13%</b> in this method.<o:p></o:p></span></p>
<p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;">In excel it
is coming <b>13.20%</b><o:p></o:p></span></p><br /><p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-91887924175793774642020-08-21T07:55:00.005-07:002020-08-21T07:55:48.773-07:00Bennington Company has borrowed a certain amount from the bank that it will repay in 24 monthly installments. The bank charges 6% interest annually on this loan and the monthly payment is $6000. Find the amount of loan.<p> <span style="font-family: Calibri, sans-serif; font-size: 11.5pt;">Bennington Company
has borrowed a certain amount from the bank that it will repay in 24 monthly
installments. The bank charges 6% interest annually on this loan and the
monthly payment is $6000. Find the amount of loan.</span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>Answer<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>Monthly
interest = 6%/12 = 0.005<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>Number of
months = 24<o:p></o:p></b></span></p><p>
<span style="font-family: "Calibri",sans-serif; font-size: 11.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><b> monthly
payment = 6000</b></span></p><p><span style="font-family: "Calibri",sans-serif; font-size: 11.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"><b><img alt="" src="data:image/png;base64,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" /></b></span></p><p><span style="font-family: "Calibri",sans-serif; font-size: 11.5pt; line-height: 107%; mso-ansi-language: EN-US; mso-ascii-theme-font: minor-latin; mso-bidi-font-family: Arial; mso-bidi-language: AR-SA; mso-bidi-theme-font: minor-bidi; mso-fareast-font-family: Calibri; mso-fareast-language: EN-US; mso-fareast-theme-font: minor-latin; mso-hansi-theme-font: minor-latin;"></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>PV = 6000 x
[1-1.005^-24]/0.005<o:p></o:p></b></span></p>
<p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>PV =
135377.2</b><o:p></o:p></span></p><br /><p></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-80964417207534408392020-08-21T06:24:00.001-07:002020-08-21T06:28:47.678-07:00Suppose you are a property owner and you are collecting rent for an apartment. The tenant has signed a one-year lease with $600 a month rent, payable in advance. Find the present value of the lease contract if the discount rate is 12% per year.<p> <span face="" style="font-family: "times new roman", serif; font-size: 11.5pt;"><b>Suppose you are a property owner and you are
collecting rent for an apartment. The tenant has signed a one-year lease with
$600 a month rent, payable in advance. Find the present value of the lease
contract if the discount rate is 12% per year.</b></span></p><p class="MsoNormal"><span face="" style="font-family: "times new roman", serif; font-size: 11.5pt; line-height: 107%;"><o:p></o:p></span></p><p><span face="" style="font-family: "times new roman", serif; font-size: 11.5pt;">Answer</span></p><p>
</p><p class="MsoNormal"><span face="" style="font-family: "times new roman", serif; font-size: 11.5pt; line-height: 107%;">Here monthly rent =$600, Number of months = 12 , <o:p></o:p></span></p>
<p class="MsoNormal"><span face="" style="font-family: "times new roman", serif; font-size: 11.5pt; line-height: 107%;">We use this formula here<o:p></o:p></span></p><p class="MsoNormal"><span face="" style="font-family: "times new roman", serif; font-size: 11.5pt; line-height: 107%;"><img alt="" src="data:image/png;base64,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" /></span></p><p class="MsoNormal"><span face="" style="font-family: "times new roman", serif; font-size: 11.5pt; line-height: 107%;">Present value of the lease contract = 600 + 600 x
[1-(1.01)^-11]/0.01<o:p></o:p></span></p><p></p><p class="MsoNormal"><span face="" style="font-family: "times new roman", serif; font-size: 11.5pt; line-height: 107%;">
</span></p><p class="MsoNormal"><span face="" style="font-family: "times new roman", serif; font-size: 11.5pt; line-height: 107%;">Present value of the lease contract = 6820.58</span><o:p></o:p></p><p><br /></p><p>Here another way to do it this one:</p><p><img alt="" src="data:image/png;base64,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" /></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0tag:blogger.com,1999:blog-5426295508957158901.post-40793692685527993532020-08-21T06:09:00.002-07:002020-08-21T06:09:15.012-07:00Suppose you want to accumulate $25,000 as down payment on a house and the best you can do is to put aside $200 a month. If you deposit this amount at the beginning of each month in an account that credits 0.75% interest monthly, how long will it take you to attain your goal?<p><b> <span style="font-family: Calibri, sans-serif; font-size: 11.5pt;">Suppose you want to
accumulate $25,000 as down payment on a house and the best you can do is to put
aside $200 a month. If you deposit this amount at the beginning of each month in
an account that credits 0.75% interest monthly, how long will it take you to
attain your goal?</span></b></p><p><span style="font-size: 11.5pt;"><b>Solution</b></span></p><p>
</p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>Sn= down
payment =25,000 , interest monthly = 0.75% = 0.0075<o:p></o:p></b></span></p>
<p class="MsoNormal"><b><span style="font-size: 11.5pt; line-height: 107%;">25,000 = 200(1.0075)^n+
200(1.0075)^</span><i><span style="font-size: 8.0pt; line-height: 107%;">n</span></i><span style="font-size: 8.0pt; line-height: 107%;">−1 </span><span style="font-size: 11.5pt; line-height: 107%;">+ ... + 100(1.0075)<o:p></o:p></span></b></p>
<p class="MsoNormal"><b><span style="font-size: 11.5pt; line-height: 107%;">25,000 = 200(1.0075)^n+
200(1.0075)^</span><i><span style="font-size: 8.0pt; line-height: 107%;">n</span></i><span style="font-size: 8.0pt; line-height: 107%;">−1 </span><span style="font-size: 11.5pt; line-height: 107%;">+ ... +200(1.0075)<o:p></o:p></span></b></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b><img alt="" src="data:image/png;base64,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" /></b></span></p><p class="MsoNormal"><b>Here a = <span style="font-size: 11.5pt; line-height: 107%;">200(1.0075)^n,
x =1/1.0075, Sn= 25,000<o:p></o:p></span></b></p><b><span style="font-family: Calibri, sans-serif; font-size: 11.5pt;"></span></b><p></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b> </b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>25,000 = 200(1.0075)^n
[1-(1/1.0075^n)]/1-1/1.0075<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b> </b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>25,000 = 200(1.0075)^n
-200/0.007444169<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>25,000 x 0.007444169
= 200(1.0075)^n -200<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>186.10 = 200(1.0075)^n
-200<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>186.10 +200 = 200(1.0075)^n<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>386.10 =200(1.0075)^n<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>386.10 /200 =
(1.0075)^n<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>1.930521 = (1.0075)^n<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>Taking ln
both sides, we get<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>Ln(1.930521)
= n ln(1.0075)<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>N = Ln(1.930521)/
ln(1.0075)<o:p></o:p></b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>
</b></span></p><p class="MsoNormal"><span style="font-size: 11.5pt; line-height: 107%;"><b>N = 88
months </b><o:p></o:p></span></p>yousafhttp://www.blogger.com/profile/06116411454771138439noreply@blogger.com0