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Xelga [282]
3 years ago
6

Consider a risky portfolio. The end-of-year cash flow derived from the portfolio will be either $50,000 or $150,000, with equal

probabilities of 0.5. The alternative riskless investment in T-bills pays 5%. (a) If you require a risk premium of 10%, 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? (d) Comparing your answers to (a) and (c), what do you conclude about the relationship between the required risk premium on a portfolio and the price at which the portfolio will sell?
Business
1 answer:
Ann [662]3 years ago
7 0

Answer:

Kindly check explanation

Explanation:

Given the following :

Risk free return (risk less investment) = 5%

Cashflow derived from portfolio = $50,000 or $150,000 each at a probability of 0.5

(a) If you require a risk premium of 10%, how much will you be willing to pay for the portfolio?

Risk premium = 10%

Required return on portfolio = risk premium + risk free return = (10% + 5%) = 15%

Expected value of cashflow:

(0.5 × $50,000) + (0.5 × $150,000)

$25,000 + $75,000 = $100,000

Value of portfolio = Amount paid(a) × (1 + required return)

100,000 = a( 1 + 0.15)

100,000 = 1.15a

a = (100,000 / 1.15)

a = 86956.521

a = $86,956.5

B) If amount paid for portfolio = $86,956.5

Expected rate of return :

(Expected value - amount paid) / amount paid

= ($100,000 - $86,956.5) / $100,000

= $13043.5 / $100,000

= 0.130435 = 13.04%

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

Risk premium = 15%

Required return on portfolio = risk premium + risk free return = (15% + 5%) = 20%

Value of portfolio = Amount paid(a) × (1 + required return)

100,000 = a( 1 + 0.20)

100,000 = 1.20a

a = (100,000 / 1.20)

a = 83333.333

a = $83,333.3

D.)

At a required risk premium of 10%, portfolio will sell at $86,956.5

At a required risk premium of 15%, portfolio will sell at $83,333.3

Hence, the price at which a portfolio will sell decreases as risk premium increases.

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Answer:

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Statement of Cash Flows for the year ended December 31, 2016

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Operating activities:

Adjusted cash from operations      $61,000

Changes in working capital:

Accounts receivable                         -5,000

Inventory                                           10,000    

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Income taxes payable                      -2,000

Short-term notes payable               10,000

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Financing activities:

Bonds                         -25,000

Common stock           50,000      25,000

Net cash flows                             -$2,000

Explanation:

a) Data and Calculations:

                                            December 31     December 31     Changes

                                                  2016                2015

Cash                                        $8,000            $10,000             -$2,000

Accounts receivable              20,000               15,000                5,000

Inventory                                 15,000              25,000              -10,000

Prepaid rent                             9,000                 6,000                3,000

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Plant and equipment          400,000            300,000             100,000

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Totals                               $462,000            $401,000    

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Income taxes payable           3,000                 5,000                -2,000

Short-term notes payable  35,000               25,000                10,000

Bonds payable                    75,000              100,000             -25,000

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Totals                             $462,000             $401,000

b) Net income $26,000

Depreciation 35,000

Adjusted cash from operations = $61,000

c) The statement of cash flows can be prepared using either the direct method or the indirect method.  The indirect method affects mainly the operating activities section and starts with the net income and adjusts it with non-cash items before considering the changes in the working capital.  The statement is a financial statement that classifies the cash flows during the period into three main categories: operating, investing, and financing activities.  There are also non-cash flows involving accounts that do not cause any cash flows.

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