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# · Estimate the value of this stock.

Part B (5 marks)

In contrast to various discounted cash-flow techniques that attempt to estimate a specific value for a stock based on its estimated growth rates and its discount rate, the relative valuation techniques implicitly contend that it is possible to determine the value of an economic entity (i.e., the market, an industry, or a company) by comparing it to similar entities on the basis of several relative ratios that compare its stock price to relevant variables that effect a stock’s value, such as earnings, cash flow, book value and sales.

Consider the following four approaches.

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1. Earnings Multiplier Model

Assume a stock has an expected dividend payout of 50%, a required rate of return of 12% and an expected growth rate for dividends of 9%. Current earnings are \$2.00 per share and the expected growth rate for earnings is 9%.

· Calculate the earnings multiplier and stock price

Briefly explain the following methods (for and against)

2. Price/Cash Flow Ratio

3. Price/Book Value Ratio

4. Price/Sales Ratio

Part C(5 marks)

Bent ltd has a bond issue that will mature to its \$1000 par value in 12 years. It pays interest annually and has a coupon rate of 11%.

a) Find the value of the bond if the required rate of return is

· 11%

· 15%

· 8%

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b) Plot your finding on a set of required return (x-axis) and market value of bond (y-axis)

c) Use your findings in parts a and bto discuss the relationship between the coupon interest rate on a bond and the required return and the market value of the bond relative to its par value.

d) What possible reasons could cause the required rate to differ from the coupon interest rate

Part D (13 marks)

You are required to evaluate the risk and return of the following two assets – A and B individually and see how they might fit into a diversifiable portfolio. Equal halves would be shared between both assets if included in a portfolio

Each asset’s risk can be assessed in two ways: in isolation and as part the firm’s diversified portfolio of assets. The risk-free rate is currently5%.

Return data for assets A and B, 2001-2010 are as follows

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The market index is as follows:

Required

a) Calculate the annual rate of return for each asset in each of the 10 preceding years, and those values to find the average annual return for each asset over the 10-year period.

b) Use the returns to find the standard deviation and the coefficient of variation of the returns for each asset over the 10-year period 2001-2010.

c) Use your findings in questions a and b to evaluate and discuss the return and risk associated with each asset. Which asset appears to be preferable? Explain.

d) Use the CAPM to find the required return for each asset. Compare this value with average annual returns calculated in question a.

e) Calculate the portfolio return and standard deviation of a portfolio consisting of both stock A and Stock B

f) Calculate the weights of the minimum variance portfolio.

g) Calculate the weights of the optimal risky portfolio

h) What recommendations would you make with regard to investing in either of the two assets or in a portfolio together?

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