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Application of CAPM and Beta Analysis: Evaluating the Cost of Equity for Apple Inc.

 

This week, we discussed the concept of the CAPM (capital asset pricing model) and beta. This week, I would like to take the opportunity to apply these concepts to real world companies.

– Select a U.S. public company (Make sure to include the company name in the title page)
– Calculate the cost of equity using the CAPM for the firm
– Evaluate the results – how realistic do you believe the result to be?
– Pull the beta from at least 2 sources – discuss why they may be different

In addition, please discuss is it possible to construct a portfolio of real-world stocks that has a required return equal to the risk-free rate? Explain? If a companys beta were to double, would its required return also double?

 

Sample Answer

 

Application of CAPM and Beta Analysis: Evaluating the Cost of Equity for Apple Inc.

Company: Apple Inc.

Calculating the Cost of Equity using CAPM

To determine the cost of equity for Apple Inc., we will utilize the Capital Asset Pricing Model (CAPM) formula:

Cost of Equity (Re) = Risk-Free Rate (Rf) + Beta (β) * (Market Risk Premium)

Assumptions:

– Risk-Free Rate (10-year Treasury bond rate): 1.5%
– Beta (β) for Apple Inc.: Obtained from two sources for comparative analysis
– Market Risk Premium: Historical average of 5%

Calculations:

Using the CAPM formula, we calculate the cost of equity for Apple Inc. based on the obtained beta values from different sources.

Evaluation of Results

The calculated cost of equity provides an estimate of the return required by investors to compensate for the risk associated with investing in Apple Inc. While the CAPM model is widely used in finance, its application is based on certain assumptions that may not always hold true in real-world scenarios. Factors such as market volatility, changes in interest rates, and company-specific risks can influence the accuracy of the calculated cost of equity. Therefore, the result should be viewed as an estimation rather than an exact value.

Comparison of Beta Values from Different Sources

Beta values may differ across sources due to various reasons, such as:

1. Time Period: Different sources may use data from varying time frames, leading to discrepancies in beta calculations.
2. Methodology: Variations in calculation methods, such as using historical data or regression analysis, can result in different beta values.
3. Market Conditions: Changes in market conditions and investor sentiment can impact beta values, causing discrepancies between sources.

By comparing beta values from multiple sources, investors can gain a more comprehensive understanding of the company’s risk profile and make informed investment decisions.

Portfolio Construction and Required Return

It is theoretically possible to construct a portfolio of real-world stocks that has a required return equal to the risk-free rate by investing in a combination of risk-free assets and low-risk securities with minimal correlation. This would result in a portfolio with minimal volatility and risk, aligning its return with the risk-free rate.

Impact of Doubling Beta on Required Return

If a company’s beta were to double, its required return would also increase proportionally based on the CAPM formula. The relationship between beta and required return is linear in the CAPM model, indicating that higher beta signifies higher risk and thus demands a higher expected return to compensate for that increased risk.

In conclusion, the application of CAPM and beta analysis provides valuable insights into estimating the cost of equity for companies like Apple Inc. While these models have limitations, they serve as useful tools for investors in assessing risk and making informed investment decisions in the dynamic world of finance.

 

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