Friday, 10 August 2012

Angie Donohue recently opened her own basketweaving studio. She sells finished baskets in addition


Angie Donohue recently opened her own basketweaving studio. She sells finished baskets in addition to the raw materials needed by customers to weave baskets of their own. Angie has put together a variety of raw material kits, each including materials at various stages of completion. Unfortunately, owing to space limitations, Angie is unable to carry all varieties of kits originally assembled and must choose between two basic packages.

The basic introductory kit includes undyed, uncut reeds (with dye included) for weaving one basket. This basic package costs Angie $11.70 and sells for $26.55. The second kit, called Stage 2, includes cut reeds that have already been dyed. With this kit the customer need only soak the reeds and weave the basket. Angie is able to produce the second kit by using the basic materials included in the first kit and adding one hour of her own time (to produce two kits), which she values at $17.60 per hour. Because she is more efficient at cutting and dying reeds than her average customer, Angie is able to make two kits of the dyed reeds, in one hour, from one kit of undyed reeds. The kit of dyed and cut reeds sells for $34.64.

Determine whether Angie’s basketweaving shop should carry the basic introductory kit with undyed and uncut reeds, or the Stage 2 kit with reeds already dyed and cut. Prepare an incremental analysis to support your answer. (Round answers to 2 decimal places, e.g. $2.45. If an amount reduces the net income for Increase (Decrease) column then enter with a negative sign preceding the number e.g. -15,000 or parenthesis, e.g. (15,000). Enter all other amounts in all other columns as positive and subtract where necessary.)



Sell
(Basic Kit)


Process Further
(Stage 2 Kit)

Net Income
Increase
(Decrease)
Sales per unit

$

$

$
Costs per unit








$

$

$




      Total

$

$

$
Net income/(loss) per unit

$

$

$

Angie’s basketweaving shop should carry the  .


Taylor Corp. is growing quickly. Dividends are expected to grow at a 28 percent rate for the next

Taylor Corp. is growing quickly. Dividends are expected to grow at a 28 percent rate for the next three years, with the growth rate falling off to a constant 7.9 percent thereafter.
 
Required:
If the required return is 16 percent and the company just paid a $3.70 dividend, what is the current share price? (Hint: Calculate the first four dividends.) (Do not include the dollar sign ($). Round your answer to 2 decimal places (e.g., 32.16).)
 
  Current share price $  


Explanation:

Apocalyptica Corporation is expected to pay the following dividends over the next four years:

Apocalyptica Corporation is expected to pay the following dividends over the next four years: $5.60, $16.60, $21.60, and $3.40. Afterwards, the company pledges to maintain a constant 5.25 percent growth rate in dividends, forever.
 
Required:
If the required return on the stock is 9 percent, what is the current share price? (Do not include the dollar sign ($). Round your answer to 2 decimal places (e.g., 32.16).)
 
  Current share price  $  
 

Explanation:
With supernormal dividends, we find the price of the stock when the dividends level off at a constant growth rate, and then find the present value of the future stock price, plus the present value of all dividends during the supernormal growth period. The stock begins constant growth after the fourth dividend is paid, so we can find the price of the stock at Year 4, when the constant dividend growth begins, as:
 
P4 = D4 (1 + g) / (Rg)
P4 = $3.40(1.0525) / (0.09 – 0.0525)
P4 = $95.43
 
The price of the stock today is the present value of the first four dividends, plus the present value of the Year 4 stock price. So, the price of the stock today will be:
 
P0 = $5.60 / 1.09 + $16.60 / 1.092 + $21.60 / 1.093 + $3.40 / 1.094 + $95.43 / 1.094
P0 = $105.80

The stock price of Jenkins Co. is $54.70. Investors require a 13 percent rate of return on similar stocks.

The stock price of Jenkins Co. is $54.70. Investors require a 13 percent rate of return on similar stocks.  
Required:
If the company plans to pay a dividend of $4.00 next year, what growth rate is expected for the company’s stock price? (Do not include the percent sign (%). Round your answer to 2 decimal places (e.g., 32.16).)
 
  Growth rate %  


Explanation:

Gesto, Inc., has an issue of preferred stock outstanding that pays a $4.90 dividend every year, in perpetuity.

Gesto, Inc., has an issue of preferred stock outstanding that pays a $4.90 dividend every year, in perpetuity.
 
Required:
If this issue currently sells for $80.05 per share, what is the required return? (Do not include the percent sign (%). Round your answer to 2 decimal places (e.g., 32.16).)
 
  Required return %  


Explanation:
The price of a share of preferred stock is the dividend divided by the required return. This is the same equation as the constant growth model, with a dividend growth rate of zero percent. Remember, most preferred stock pays a fixed dividend, so the growth rate is zero. This is a special case of the dividend growth model where the growth rate is zero, or the level perpetuity equation. Using this equation, we find the price per share of the preferred stock is:
 
R = D/P0
R = $4.90/$80.05
R = 0.0612 or 6.12%

Ziggs Corporation will pay a $4.20 per share dividend next year.

Ziggs Corporation will pay a $4.20 per share dividend next year. The company pledges to increase its dividend by 6.50 percent per year, indefinitely.
 
Required:
If you require a 10 percent return on your investment, how much will you pay for the company’s stock today? (Do not include the dollar sign ($). Round your answer to 2 decimal places (e.g., 32.16).)

  Current stock price $  


Explanation:
Using the constant growth model, we find the price of the stock today is:
 
P0 = D1 / (Rg)
P0 = $4.20 / (0.10 – 0.0650)
P0 = $120.00

The next dividend payment by Mosby, Inc., will be $2.85 per share. The dividends are anticipated to

The next dividend payment by Mosby, Inc., will be $2.85 per share. The dividends are anticipated to maintain a 7.50 percent growth rate, forever. Assume the stock currently sells for $49.30 per share.
 
Requirement 1:
What is the dividend yield? (Do not include the percent sign (%). Round your answer to 2 decimal places (e.g., 32.16).)
 
  Dividend yield %  
 
Requirement 2:
What is the expected capital gains yield? (Do not include the percent sign (%). Round your answer to 2 decimal places (e.g., 32.16).)
 
  Capital gains yield %  


Explanation: 1:
The dividend yield is the dividend next year divided by the current price, so the dividend yield is:
 
Dividend yield = D1 / P0
Dividend yield = $2.85 / $49.30
Dividend yield = 0.0578 or 5.78%

2:
The capital gains yield, or percentage increase in the stock price, is the same as the dividend growth rate, so:
  Capital gains yield = 7.50%