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FM – May 2016 – L3 – Q6b – Investment Appraisal Techniques

Calculating the betas, required rates of return, and stock prices for three securities based on market data and forecasts.

The expected return on the market portfolio (estimated from past data) is 12% p.a. with a standard deviation of 15% and the risk-free rate of 4% p.a. The actual prices, last year dividends, and the covariances from three securities (A, B, C) with the market are given in the table below:

Security Actual Price (N) Last Year Dividend (N) Covariance with Market
A 107 1.30 0.025650
B 618 18.00 0.018675
C 1,350 22.00 0.029025

You are required to:

i.

Calculate the betas and the required rates of return of securities A, B, and C. (3 Marks)

ii.

In the table below, you have the market consensus forecast of 12-month price targets, ex-dividends, and the expected dividend growth rate of the securities.

Security 12-month price target (N) Dividend growth rate (%)
A 122.50 12
B 740.00 10
C 1,500.00 11

Assuming the dividends are paid in 12 months exactly, compute the required stock price for the 3 stocks and state your conclusion. (4 Marks)

iii.

Considering the results in (ii) above, explain briefly what will be your strategy? (1 Mark)

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FM – Nov 2016 – L3 – SC – Q5 – Portfolio Management

Assess CAPM's basic assumptions and determine overvalued securities among four companies using CAPM metrics.

a. Capital Asset Pricing Model (CAPM) is an equilibrium model of the trade-off between expected portfolio return and unavoidable risk.
What are the basic assumptions on which this model is based? (6 Marks)

b. Currently, the rate of return on the Federal Government Bond redeemable at par in the year 2018 is 5%. The securities of four companies, Akira Plc., Bombadia Plc., Courage Plc., and Divine Plc., have expected returns of 12%, 9.5%, 10.5%, and 13%, respectively. The average expected return on the market portfolio is 10%, subject to a 6% risk (standard deviation). Other relevant information relating to the four securities of the companies is as stated below:

Company Standard Deviation Correlation Coefficient
Akira Plc 0.080 0.975
Bombadia Plc 0.075 0.640
Courage Plc 0.090 0.740
Divine Plc 0.150 0.680

You are required to show which of the companies is/are overvalued. (9 Marks)

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FM – May 2016 – L3 – Q6b – Investment Appraisal Techniques

Calculating the betas, required rates of return, and stock prices for three securities based on market data and forecasts.

The expected return on the market portfolio (estimated from past data) is 12% p.a. with a standard deviation of 15% and the risk-free rate of 4% p.a. The actual prices, last year dividends, and the covariances from three securities (A, B, C) with the market are given in the table below:

Security Actual Price (N) Last Year Dividend (N) Covariance with Market
A 107 1.30 0.025650
B 618 18.00 0.018675
C 1,350 22.00 0.029025

You are required to:

i.

Calculate the betas and the required rates of return of securities A, B, and C. (3 Marks)

ii.

In the table below, you have the market consensus forecast of 12-month price targets, ex-dividends, and the expected dividend growth rate of the securities.

Security 12-month price target (N) Dividend growth rate (%)
A 122.50 12
B 740.00 10
C 1,500.00 11

Assuming the dividends are paid in 12 months exactly, compute the required stock price for the 3 stocks and state your conclusion. (4 Marks)

iii.

Considering the results in (ii) above, explain briefly what will be your strategy? (1 Mark)

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FM – Nov 2016 – L3 – SC – Q5 – Portfolio Management

Assess CAPM's basic assumptions and determine overvalued securities among four companies using CAPM metrics.

a. Capital Asset Pricing Model (CAPM) is an equilibrium model of the trade-off between expected portfolio return and unavoidable risk.
What are the basic assumptions on which this model is based? (6 Marks)

b. Currently, the rate of return on the Federal Government Bond redeemable at par in the year 2018 is 5%. The securities of four companies, Akira Plc., Bombadia Plc., Courage Plc., and Divine Plc., have expected returns of 12%, 9.5%, 10.5%, and 13%, respectively. The average expected return on the market portfolio is 10%, subject to a 6% risk (standard deviation). Other relevant information relating to the four securities of the companies is as stated below:

Company Standard Deviation Correlation Coefficient
Akira Plc 0.080 0.975
Bombadia Plc 0.075 0.640
Courage Plc 0.090 0.740
Divine Plc 0.150 0.680

You are required to show which of the companies is/are overvalued. (9 Marks)

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