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seropon [69]
4 years ago
11

Julie has just retired. Her company's retirement program has two options as to how retirement benefits can be received. Under th

e first option, Julie would receive a lump sum of $150,000 immediately as her full retirement benefit. Under the second option, she would receive $14,000 each year for 20 years plus a lump-sum payment of $60,000 at the end of the 20-year period. Page 553 Required: If she can invest money at 12%, which option would you recommend that she accept? Use present value analysis.
Business
1 answer:
olchik [2.2K]4 years ago
8 0

Answer:

First option will be recommended.

Explanation:

To determine which option to be taken, we calculate the net present value each option generates. The option generating higher NPV should be recommended.

- Net present value of first option = Lump sum receipt = $150,000.

- Net present value of second option will be found by discounting cash flows at investing rate 12% and calculated as followed:

 +  Present value of 20 equal annual payment of $14,000 + Present value of $60,000 paid in 20 years = (14,000/12%) x [ 1 - 1.12^(-20)] + 60,000/1.12^20 = $110,792.

As net present value of the first option is higher than the second option, first option will be recommended.

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What is the opportunity cost of an investment
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Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal
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Answer:

(A) The price you will be willing to pay for the portfolio is $194,690.

(B) The expected rate of return is 13%.

(C) The price you will be willing to pay for the portfolio is $181,818.

Explanation:

A. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio?

The amount you be willing to pay for the portfolio can be calculated using the following formula:

The price you will be willing to pay for the portfolio = Expected cash flow / (1 + Required rate of return) ................... (1)

Where;

Expected cash flow = ($150,000 * 0.5) + ($290,000 * 0.5) = $220,000

Required rate of return = Risk free rate + Risk premium = 6% + 7% = 13%, or 0.13

Therefore, we have:

The price you will be willing to pay for the portfolio = $220,000 / (1 + 0.13) = $220,000 / 1.13 = $194,690

B. Suppose the portfolio can be purchased for the amount you found in (a). What will the expected rate of return on the portfolio be?

The expected rate of return (E(r)) can be calculated using the following formula:

Amount to be paid for the portfolio * [1 + E(r)] = Expected cash flow

Therefore, we have:

$194,690 * [1 + E(r)] = $220,000

$194,690 + ($194,690 * E(r)) = $220,000

$194,690 * E(r) = $220,000 - $194,690

$194,690 * E(r) = $25,310

E(r) = $25,310 / $194,690 = 0.13, or 13%

Therefore, the expected rate of return is 13%.

C. Now suppose you require a risk premium of 15%. What is the price you will be willing to pay now?

Required rate of return = Risk free rate + Risk premium = 6% + 15% = 21%, or 0.21

Using equation (1) in part A, we have:

The price you will be willing to pay for the portfolio = $220,000 / (1 + 0.21) = $220,000 / (1.21) = $181,818

6 0
3 years ago
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