Using the Capital Asset Pricing Model (CAPM), what is the estimated cost of equity capital if the risk-free rate is 3.3%, Beta is .90, and the market premium is 6.0%?

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The Capital Asset Pricing Model (CAPM) is a widely-used method for estimating the cost of equity capital. It is based on the relationship between expected return and risk, as quantified by beta. The formula is given as:

Cost of equity = Risk-free rate + Beta x Market risk premium

Given the values in this scenario:

  • The risk-free rate is 3.3%

  • Beta is 0.90

  • The market risk premium is 6.0%

Substituting these values into the CAPM formula gives:

Cost of equity = 3.3% + (0.90 x 6.0%)

First, calculate the product of Beta and the market risk premium:

0.90 x 6.0% = 5.4%

Next, add this to the risk-free rate:

Cost of equity = 3.3% + 5.4% = 8.7%

This calculation indicates that the estimated cost of equity capital, based on the provided risk-free rate, beta, and market risk premium, is 8.7%. This corresponds to the correct answer.

Understanding the context of these figures helps clarify their significance: the risk-free rate reflects the return on an investment with zero

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