Formula 11.15
E_{s}= r_{f} + B_{s}(E_{mkt}  r_{f}) 
Where:
r_{f} = the riskfree rate
B_{s} = the beta of the investment
E_{mkt} = the expected return of the market
E_{s} = the expected return of the investment
Example:
When a new product line for Newco is considered, the project's beta is 1.5. Assuming the riskfree rate is 4% and the expected return on the market is 12%, compute the cost of equity for the new product line.
Answer:
Cost of equity = r_{f} + B_{s}(E_{mkt}  r_{f}) = 4% + 1.5(12%  4%) = 16%
The project's required return on retained earnings is thus 16% and should be used in our calculation of WACC.
Estimating Beta
In risk analysis, estimating the beta of a project is quite important. But like many estimations, it can be difficult to determine.
The two most widely used methods of estimating beta are:
1. PurePlay Method
When using the pureplay method, a company seeks out companies with a product line that is similar to the line for which the company is trying to estimate the beta. Once these companies are found, the company would then take an average of those betas to determine its project beta.
Suppose Newco would like to add beer to its existing product line of soda. Newco is quite familiar with the beta of making soda given its history. However, determining the beta for beer is not as intuitive for Newco as it has never produced it.
Thus, to determine the beta of the new beer project, Newco can take the average beta of other beer makers, such as Anheuser Busch and Coors.
2. AccountingBeta Method
When using the accountingbeta method, a company would run a regression using the company's return on assets (ROA) against the ROA for market benchmark, such as the S&P 500. The accounting beta is the slope coefficient of the regression.
The typical procedure for developing a riskadjusted discount rate is as follows:
1. A company first begins with its cost of capital for the firm.
2. The cost of capital then must be adjusted for the riskiness of the project, by adjusting the company's cost of capital either up or down depending on the risk of the project relative to the firm.
For projects that are riskier, the company's WACC would be adjusted higher and if the project is less risky, the company's WACC is adjusted lower. The main issue in this procedure is that it is subjective.
Capital Rationing
Essentially, capital rationing is the process of allocating the company's capital among projects to maximize shareholder return.
When making decisions to invest in positive netpresentvalue (NPV) projects, companies continue to invest until their marginal returns equal their marginal cost of capital. There are times, however, when a company may not have capital to do this. As such, a company must ration its capital among the best combination of projects with the highest total NPV.

Investing
How AQR Places Bets Against Beta
Learn how the bet against beta strategy is used by a large hedge fund to profit from a pricing anomaly in the stock market caused by high stock prices. 
Investing
Build Diversity Through Beta
In conjunction with stock valuation ratios like the pricetoearnings ratio and the pricetoearningsgrowth ratio, a stock's measure of volatility known as beta can help investors build a diversified ... 
Financial Advisor
Calculating Beta: Portfolio Math For The Average Investor
Beta is a useful tool for calculating risk, but the formulas provided online aren't specific to you. Learn how to make your own. 
Investing
Understanding Beta
Beta is a measure of volatility. Find out what this means and how it affects your portfolio. 
Investing
3 Cases When Beta Does Not Measure Volatility of Stocks
Examine the theoretical and statistical relationship between beta and volatility to identify three factors that limit beta's explanatory value. 
Investing
5 HighBeta Stocks To Watch
Check out five highbeta stocks that can help make your portfolio more exciting. 
Investing
The Biggest Trend in Investing May be Wrong for You
3 reasons why you may want to think twice before allocating Smart Beta to your portfolio. 
Investing
5 LowBeta DJIA Stocks To Know
Check out five lowbeta stocks that can help you to diversify your portfolio. 
Investing
Smart Beta ETF Myths and Misconceptions
Discover smart beta exchangetraded funds (ETFs), and learn about some of the common misconceptions and characteristics of this type of product. 
Investing
Smart Beta ETFs: An Overview
What are Smart Beta ETFs?