Beta Management

Answer: The standard deviation can be calculated by subtracting the expected return from the actual return for each year and squaring the results. The squares are summed, and divided by the number of observances minus 1. The square root of that result is the standard deviation.

15. Investment A has an expected return of $25 million and investment B has an expected return of $5 million. Market risk analysts believe the standard deviation of the return A is $10 million, and for B is $30 million (negative returns are possible here).

Given these approximations, the CAPM model would total the risk-free rate and the market risk premium times beta to arrive at a cost of equity of 9.68%, which reflects the investors’ expected return from investing in shares of the company.

For the purpose of calculating the net present value of the project, an appropriate cost of capital has to be calculated at which free cash flows of the project should be discounted. Since the project will be solely financed by selling new shares, cost of equity will be used as the discount rate. Beta for the company can be assumed to be equal to average of the betas of the competitors of the company. This average beta value comes out to be 1.2. Risk free rate is 0.17% while risk premium has been estimated to be 6%. Thus by putting these values in CAPM formula, we can find the cost of equity for the company which is 7.39%.

D) Based on Value Line’s forecast information, what is the range of possible intrinsic values for GEICO? What questions might you have about this estimated range?

4) Using the stock price and return data in Exhibits 5 and 6, estimate the CAPM beta

B) How well has Berkshire Hathaway performed? In the aggregate? In its investment in Scott & Fetzer? In its investments in earlier purchases of GEICO stock? In its investments in convertible preferred securities?

Utilizing the fundamental concepts of the Capital Asset Pricing Model (CAPM), the expected return for Wal-Mart stock is 7.01% [E(R)]. This is a result of a risk-free rate (Rf) of 3.68%, which was the provided 10-year government bond yield to use as a proxy for the risk-free rate. The beta (β ) of Wal-Mart was 0.66 according to the provided Bloomberg beta estimate. Additional data was provided on the U.S. market risk premium [E(RM) – Rf] of 5.05%. In following the general concepts of CAPM, there are some general assumptions: no transaction costs, all assets are publicly traded,

Solutions to Valuation Questions 1. Assume you expect a company’s net income to remain stable at $1,100 for all future years, and you expect all earnings to be distributed to stockholders at the end of each year, so that common equity also remains stable for all future years (assumes clean surplus). Also, assume the company’s β = 1.5, the market risk premium is 4% and the 20-30 year yield on risk free treasury bonds is 5%. Finally, assume the company has 1,000 shares of common stock outstanding. a. Use the CAPM to estimate the company’s equity cost of capital. • re = RF + β * (RM – RF) = 0.05 + 1.5 * 0.04 = 11% b. Compute the expected net distributions to stockholders for each future year. • D = NI – ΔCE = $1,100 – 0 = $1,100 c. Use the

Please refer to Appendix 2 for other considerations for cost of equity calculations. Most firms use the Capital Asset Pricing Model (CAPM) to determine the cost of equity. The components that make up the CAPM include: the risk free rate, the beta of the security, and the expected market return of the stock. These values are all based on forward-looking data. The model dictates that shareholders require a return equal to the return from a risk-free investment plus an equity risk premium for bearing extra risk. Refer to Appendix 1 for a full breakdown of the CAPM formula.

We use the equation ri=(Pt-Pt-1+Dt)/Pt-1 to calculate the monthly return of stock of Charles Schwab Corp, Quick & Reilly Group and Waterhouse Investor Srvcs. Then we have two methods to calculate the Beta of Equity for each company.

Nevertheless, such reduction in diversification would make risk increase. The complete table “Risk and returns of portfolios” provides the different changes. 5. The portfolio between TECO – S&P 500 has an expected return of 14.3% and a standard deviation of 14.1%. In this portfolio the correlation is greater than the one in the other portfolio because the risk-reducing effect is much lower than the one in the portfolio TECO – Gold Hill.

We added the market risk premium of 6% to the 4.60% because 6% is the rate that investors want above the risk free rate due to the risk of the investment. This equals 10.6% which is then multiplied by the beta of the company of 1.1. Beta is a measure of the stock’s volatility in relation to the market. A beta of 1.1 means that Worldwide Paper Company has slightly higher volatility than the market does. The total cost of equity then calculates to equal 11.2%. This tells us that given the risk taken in investing in the company, a shareholder should expect an 11.2% return.

Using CAPM: Risk Free Rate = 6%; Market Risk Premium = 5%; Beta = 1.2

At individual stock level, Reynolds fluctuates more than Hasboro as it has higher Standard Deviation and higher variance. After calculating the portfolio of both the stocks, it