EBK INVESTMENTS
EBK INVESTMENTS
11th Edition
ISBN: 9781259357480
Author: Bodie
Publisher: MCGRAW HILL BOOK COMPANY
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Chapter 6, Problem 4PS

A

Summary Introduction

To calculate:The amount which is paid for the portfolio is 8% risk premium is to be determined.

Introduction:The present values of portfolio is defined as the contemporary values of the subsequent amount of money or called as stream of cash flow with defined rate of return.

A

Expert Solution
Check Mark

Answer to Problem 4PS

The present values of the portfolio= $ 118,421

Explanation of Solution

The expected cash flow is determined by the summation of the product of the probability with the cash flow in two scenarios.

Cash flow = $ 70,000 with probability 0.5

Cash flow = $200,000 with probability 0.5

  expected cash flow=(0.5×$70,000)+(0.5×200,000)

The assumed cash flow = $135,000

Mentioned risk premium = 8%

Mentioned risk-free rate = 6%

Mentioned rate of return = 14%

The present value of portfolio is determined by dividing assumed cash flow by stated rate of return.

  present value=expected cash flowrate of return.................... Equation (1)

Put the given values in Equ (1)

  present value=$135,0001.14=$118,421

The present value of the portfolio = $118,421

B

Summary Introduction

To calculate:The assumed rate of return of the portfolio is to be determined.

Introduction:The present value of portfolio is defined as the present value of the future amount of money or called as stream of cash flow with identified rate of return.

B

Expert Solution
Check Mark

Answer to Problem 4PS

The assumed rate of return = $135,000

Explanation of Solution

The assumed rate of the return is calculated by the following formula −

  expected rate of the return[E(r)]=present value of the portfolio×[1+E(r)] …………Equation (2)

  expected rate of the return[E(r)]=$118,421×[1+0.14]

The assumed rate of return = $135,000

C

Summary Introduction

To calculate:Theamount which is paid for the portfolio at 12% risk premium is to be determined.

Introduction:The present value of portfolio is defined as the present value of the future amount of money or called as stream of cash flow with a stated rate of return.

C

Expert Solution
Check Mark

Answer to Problem 4PS

The present value of the portfolio = $114,407

Explanation of Solution

Given that −

Risk premium = 12%

Risk-free rate = 6%

  Required rate of return=12%+6%=18%

The present value of portfolio is ascertained by dividing assumed cash flow by identified rate of return.

  present value=expected cash flowrate of return.................... Equ (1)

Put the given values in Equ (1)

  present value=$135,0001.18=$114,407

The present value of the portfolio = $114,407

D

Summary Introduction

To calculate:The relation between risk portfolio and the amount at which it sell is to be determined.

Introduction:The present value of portfolio is defined as the present value of the future amount of money or called as stream of cash flow with a expected rate of return.

D

Expert Solution
Check Mark

Answer to Problem 4PS

The portfolio with higher risk will sell at lower price. The portfolio (a) will be selling at lower price.

Explanation of Solution

The current value of the portfolio (a) = $118,421

The current value of the portfolio (c) = $114,407

The portfolio with higher risk will be selling at lower price and providing extra discount from assumed price is a consequence of risk.

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Students have asked these similar questions
Consider a risky portfolio. The end - of - year cash flow derived from the portfolio will be either $70,000 or $200,000 with equal probabilities of 0.5. The alternative risk - free investment in T - bills pays 2% per year. Required: If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? Now suppose that you require a risk premium of 12 % . What price are you willing to pay?
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 3% per year. Required: a. If you require a risk premium of 7%, how much will you be willing to pay for the portfolio? b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? c. Now suppose that you require a risk premium of 12%. What price are you willing to pay? Complete this question by entering your answers in the tabs below. Required A Required B Required C If you require a risk premium of 8%, how much will you be willing to pay for the portfolio? Note: Do not round your intermediate calculations. Round your answer to the nearest whole dollar amount. Price Required A Required B >
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 .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? (Round your answer to the nearest whole dollar amount.)         b. Suppose that the portfolio can be purchased for the amount you found in (a). What will be the expected rate of return on the portfolio? (Round your answer to the nearest whole number.)         c. Now suppose that you require a risk premium of 12%. What is the price that you will be willing to pay? (Round your answer to the nearest whole dollar amount.)
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