Anita Vasquez received $160,000 from her mother’s estate. She placed the funds into the hands of a

Anita Vasquez received $160,000 from her mother’s estate. She placed the funds into the hands of a broker, who purchased the following securities on Anita’s behalf:

     

a.	Common stock was purchased at a cost of $80,000. The stock paid no dividends, but it was sold for $180,000 at the end of four years.
b.	Preferred stock was purchased at its par value of $30,000. The stock paid a 6% dividend (based on par value) each year for four years. At the end of four years, the stock was sold for $24,000.
c.	Bonds were purchased at a cost of $50,000. The bonds paid $3,000 in interest every six months. After four years, the bonds were sold for $58,500. (Note: In discounting a cash flow that occurs semiannually, the procedure is to halve the discount rate and double the number of periods. Use the same procedure in discounting the proceeds from the sale.) (Ignore income taxes.)

    

The securities were all sold at the end of four years so that Anita would have funds available to start a new business venture. The broker stated that the investments had earned more than a 20% return, and he gave Anita the following computation to support his statement:

   

Common stock:
Gain on sale ($180,000 – $80,000)	$	100,000
Preferred stock:
Dividends paid (6% × $30,000 × 4 years)		7,200
Loss on sale ($24,000 – $30,000)		(6,000)
Bonds:
Interest paid ($3,000 × 8 periods)		24,000
Gain on sale ($58,500 – $50,000)		8,500
Net gain on all investments	$	133,700

   

	$133,700 ÷ 4 years	= 20.9%
	$160,000

         

Click here to view Exhibit 13B-1 and Exhibit 13B-2, to determine the appropriate discount factor(s) using tables.

     

Required:
1a.	Using a 20% discount rate, compute the net present value of each of the three investments. (Negative amounts should be indicated by a minus sign. Round discount factor(s) to 3 decimal places, intermediate and final answers to the nearest dollar amount. Omit the "$" sign in your response.)

   

	Net Present Value
Common stock	$ 6,760
Preferred stock	$ n/r
Bonds	$ n/r

    

1b.	On which investment did Anita earn a 20% rate of return?
	Common stock

2.	Considering all three investments together, did Anita earn a 20% rate of return?
	No

    

3.

Anita wants to use the $262,500 proceeds ($180,000 + $24,000 + $58,500 = $262,500) from sale of the securities to open a fast-food franchise under a 10-year contract. What net annual cash inflow must the store generate for Anita to earn a 16% return over the 10-year period? Assume that the project will yield same annual cash inflow each year. Anita will not receive back her original investment at the end of the contract. (Round discount factor(s) to 3 decimal places and final answer to the nearest dollar amount. Omit the "$" sign in your response.)

  

Annual net cash inflow

$ n/r