Question

The Rhaegel Corporation’s common stock has a beta of 1.2. If the risk-free rate is 4.3 percent and the expected return on the market is 13 percent, what is the company’s cost of equity capital? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)

Answer 1

Cost of equity = 14.74%

Step-by-step explanation:

The capital asset pricing model is a risk-based model for estimating the return on a stock..

Here, the return on equity is dependent on the level of reaction of the the equity to changes in the return on a market portfolio. These changes are captured as systematic risk.

Systematic risks are those which affect all economic actors in the market, they include factors like changes in interest rate, inflation, etc. The magnitude by which a stock is affected by systematic risk is measured by beta.

Under CAPM,

E(r)= Rf + β(Rm-Rf)

E(r)- cost of equity , Rf-risk-free rate , β= Beta, Rm= Return on market.

Using this model, we can work out the value of beta as follows:

β-1.2 Rf- 4.3%, Rm = 13%

E(r) = 4.3% + 1.2 × (13 - 4.3)%=14.74 %

Expected return = 14.74 %

Cost of equity = 14.74%