Question

A stock has a beta of 1.28, the expected return on the market is 12 percent, and the risk-free rate is 4.5 percent. What must the expected return on this stock be? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

Expected return on stock =14.1 0%

Step-by-step explanation:

The Capital Asset pricing Model (CAPM) can be used to determined the expected return on the stock.

According to the Capital Asset pricing Model the expected return on stock is dependent on the level of reaction of the the stock to changes in the return on a market portfolio.

These changes are captured as systematic risk. The magnitude by which a stock is affected by systematic risk is measured by beta.

Under CAPM, Ke= Rf + β(Rm-Rf)

Rf-risk-free rate (treasury bill rate), β= Beta, Rm= Return on market, Ke-return on stock

Using this model, we can work out the return on stock as follows:

DATA

Ke-?

Rf- 4.5%

β-1.2 8

Rm- 12%

Ke = 4.5% + 1.28× (12-4.5)%=14.1 0%

Expected return on stock =14.1 0%