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Aerospace Dynamics will invest \(110,000 in a project that will produce the following cash flows. The cost of capital is 11 percent. Should the project be undertaken? (Note that the fourth year’s cash flow is negative.)

Year

Cashflow

1

\)36,000

2

44,000

3

38,000

4

(44,000)

5

81,000

Short Answer

Expert verified

Thebusiness entity must undertake the project.

Step by step solution

01

Definition of Net Present Value

A technique used under capital budgeting for determining the project’s profitability by taking the difference between the cash inflows and outflows is known as net present value. This technique considers the time value of money. Therefore, the present value of each cash flow is calculated.

02

Calculation of net present value

Year

Cash flow

PVIF@11%

Present value

1

$36,000

0.900

$32,400

2

44,000

0.812

$35,728

3

38,000

0.731

$27,778

4

(44,000)

0.658

($28,952)

5

81,000

0.593

$48,033

Total cash flow
$114,987
Less: initial investment
($110,000)
Net present value
$4,987

The net present value of the project is positive. Therefore, the project can be accepted.

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Most popular questions from this chapter

Question: You wish to retire in 14 years, at which time you want to have accumulated enough money to receive an annual annuity of \(17,000 for 19 years after retirement. During the period before retirement you can earn 8 percent annually, while after retirement you can earn 10 percent on your money. What annual contributions to the retirement fund will allow you to receive the \)17,000 annuity?

Question:Beasley Ball Bearings paid a \(4 dividend last year. The dividend is expected to grow at a constant rate of 2 percent over the next four years. The required rate of return is 15 percent (this will also serve as the discount rate in this problem). Round all values to three places to the right of the decimal point where appropriate.

a. Compute the anticipated value of the dividends for the next four years. That is, compute D1, D2, D3, and D4; for example, D1 is \)4.08 (\(4 3 1.02).

b. Discount each of these dividends back to present at a discount rate of 15 percent and then sum them.

c. Compute the price of the stock at the end of the fourth year (P4). P4 5 D5 ______ Ke 2 g (D5 is equal to D4 times 1.02.)

d. After you have computed P4, discount it back to the present at a discount rate of 15 percent for four years.

e. Add together the answers in part b and part d to get P0, the current value of the stock. This answer represents the present value of the four periods ofdividends, plus the present value of the price of the stock after four periods (which in turn represents the value of all future dividends).

f. Use Formula 10-8 to show that it will provide approximately the same answer as part e. P0 5 D1 ______ Ke 2 g For Formula 10-8, use D1 5 \)4.08, Ke 5 15 percent, and g 5 2 percent. (The slight difference between the answers to part e and part f is due to rounding.)

g. If current EPS were equal to $4.98 and the P/E ratio is 1.2 times higher than the industry average of 6, what would the stock price be?

h. By what dollar amount is the stock price in part g different from the stock price in part f?

i. In regard to the stock price in part f, indicate which direction it would move if (1) D1 increases, (2) Ke increases, and (3) g increases

How is the future value related to the present value of a single sum?

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