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Illusion [34]
2 years ago
13

Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $150,000 or $290,000 with equal

probabilities of 0.5. The alternative risk-free investment in T-bills pays 6% per year. A. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio?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? C. Now suppose you require a risk premium of 15%. What is the price you will be willing to pay now?
Business
1 answer:
lara [203]2 years ago
6 0

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

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Answer:

1. The corrected gross profit are as follows:

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2-a  Gross profit percentage before and after correction are as follows:  

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Explanation:

Note: This question is not complete. The complete question is therefore provided before answering the question as follows:

Partial income statements for Sherwood Company summarized for a four-year period show the following:

                          2015             2016                  2017                  2018

Net Sales     $2,200,000   $2,600,000    $2,700,000      $3,200,000

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An audit revealed that in determining these amounts, the ending inventory for 2016 was overstated by $22.000. The inventory balance on December 31, 2017, was accurately stated. The company uses a periodic inventory system.

Required: 1. Restate the partial income statements to reflect the correct amounts, after fixing the inventory error, 2-a. Compute the gross profit percentage for each year (a) before the correction and (b) after the correction 2-b. Does the pattern of gross profit percentages lend confidence to your corrected amounts?

The explanation of the answer is now given as follows:

1. Restate the partial income statements to reflect the correct amounts, after fixing the inventory error

Note: See the attached excel file for the fixing the inventory error and the restated partial income statements to reflect the correct amounts, after fixing the inventory error.

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2-a. Compute the gross profit percentage for each year (a) before the correction and (b) after the correction

Note: See the attached excel file for the computed the gross profit percentage for each year (a) before the correction and (b) after the correction.

In the attached excel file, the following formula is used:

Gross Profit percentage = Gross profit / Net Sales) * 100

2-b. Does the pattern of gross profit percentages lend confidence to your corrected amounts?

Yes. This is because the gross profit percentage for the years are approximately the same at 32% after the correction was made.

Download xlsx
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