Wize University Introduction to Finance Textbook > CAPM
Security Market Line (SML)
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The Security Market Line
The security market line (SML) is plotted by setting the expected return as the y-axis and beta as the x-axis. The line starts at the risk-free rate and its slope is determined by the market. The line indicates the required rate of return for every level of risk and is used in determining whether a stock is over-priced, under-priced, or correctly priced.

Market Risk Premium:


How to Interpret:
- Any point above the line represents a stock that is under-priced where the expected return is greater than the required return.
- Any point below the line represents a stock that is over-priced where the expected return is less than the required return.
- Any point on the line represents a stock that is correctly priced where the expected return is equal to the required return.

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Pricing Stocks
The correct (efficient) price of a stock is the present value of future dividends discounted at the required rate of return. When the market price of a stock is below its correct price, the expected return is greater than the required rate of return.
For Example:
If a stock is expected to pay a dividend of $2 per year and the required rate of return is 10%, the correct price for that stock is $20:
If the stock price is currently $19 on the market, the dividend remains $2 so the expected return is greater than the required rate of return:

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Example: The Security Market Line
Stock X has a beta of 1.5, an expected return of 19%, and a standard deviation of 12%. The market risk premium is 7% and the risk-free rate is 3%. Stock X is expected to pay a dividend of $3 next year and increase their dividend by 5% per year thereafter.
- What is the required rate of return on the stock?
- Is the stock overpriced or underpriced?
- What is the correct price of the stock and what is the current market price?
Practice: The Market Line (SML)
The market expected return is 15% with a standard deviation of 11%. The risk-free rate is 4%. Stock X has just paid a dividend of $2.50, which is expected to grow at a rate of 8 percent per year indefinitely.
What is the value of one share of Stock X if it has a beta of 1.7?

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Example: Pricing Stocks Using CAPM
ABC Inc. just paid a dividend of $2 to its shareholders and investors expect the company to increase its dividend by 5% per year. The beta on ABC Inc's stock is 1.99 and the expected return of the market is 12%. If treasury bills are yielding 3.5%, what is the current fair value of the stock using the dividend discount model?
Practice: Pricing Stocks Using CAPM
Stock X is expected to pay a dividend of $3 next year, and 8% more per year indefinitely. The stock has a beta of 2.8 and the market risk premium is 11%. Risk free assets are yielding 2%, what is the fair value of the stock?
Round your final answer to 2 decimal places
| Fair value of Stock X | $ |