Chapter 12: Risk, Return, And Capital Budgeting ✓ Solved

Chapter 12 Risk, Return, and Capital Budgeting

Discuss the concepts of risk, return, and capital budgeting with a focus on measuring market risk, understanding beta, the capital asset pricing model (CAPM), and project risk in capital budgeting. Provide examples where appropriate.

Paper For Above Instructions

Understanding the concepts of risk, return, and capital budgeting is vital for effective financial analysis and investment decision-making. This paper discusses these concepts, focusing on measuring market risk, the significance of beta, the capital asset pricing model (CAPM), and how project risk affects capital budgeting decisions.

Measuring Market Risk

Market risk, often referred to as systematic risk, is the risk associated with the overall market movements that cannot be diversified away. Investors need to understand how market risk influences their investments, which is typically assessed using market indices. A broad stock market index, such as the S&P 500, is commonly used to represent the market as a whole.

Beta is a fundamental measure used in identifying market risk. It reflects the sensitivity of a stock's return relative to the return on the market portfolio. A beta of 1 indicates that the stock moves in line with the market; a beta less than 1 suggests that the stock is less volatile than the market, while a beta greater than 1 indicates higher volatility. For example, Turbot Charged Seafood, with a beta of 0.8, demonstrates lesser sensitivity to market movements.

As illustrated, if the market premium is based on a 1% change in the market index, Turbot's performance shows an average increase of 0.8% when the market is up and a decrease of 0.8% when the market is down. The beta is calculated by dividing the combined movement of the stock by the market's movement, leading to Turbot's beta of 0.8.

Understanding Beta

Beta measures an investment's risk compared to the market. A portfolio's beta will be the weighted average of the betas of its individual components. Therefore, understanding the beta of a company or portfolio is critical for investors, as it informs their expectations regarding potential returns relative to the risk taken. If an investor holds the S&P Composite Index, which has a beta of 1, they are exposed to market-level volatility, while those with a lower beta can expect reduced risk and return volatility.

Capital Asset Pricing Model (CAPM)

The Capital Asset Pricing Model (CAPM) establishes a theoretical framework to understand the relationship between risk and expected return. According to CAPM, the expected return on an asset is equal to the risk-free rate plus the asset's beta multiplied by the market risk premium. This model helps investors ascertain the minimum required return on an investment, given its risk profile.

For instance, if the stock market is expected to yield 10% and the risk-free rate is 3%, an asset with a beta of 0.5 would have a risk premium of 3.5%, leading to an expected return of 6.5%. This framework assists in evaluating whether a potential investment meets an investor's return threshold, balancing risk and expected performance.

Project Risk in Capital Budgeting

In capital budgeting, understanding the project risk is crucial as it directly impacts the cost of capital for any investment undertaking. The risk associated with a project should dictate the selection of the discount rate applied to cash flows when evaluating potential investments. The opportunity cost of capital is essential in representing this risk and is informed by the unique characteristics of the project.

For example, if ABC Company is considering various investments with different levels of risk, they must appropriately apply the relevant costs of capital based on the unique risk profile of each project. In scenarios where the projects include nuclear parts manufacturing or dog food production, their respective betas will guide the customization of the cost of capital used in assessments. If ABC Company has determined a general cost of capital at 17% for average-risk investments, the investment in dog food production, having a beta of 0.6, may require a different treatment to accurately reflect the lower risk involved.

The decision-making process surrounding which cost of capital to apply reveals the complexity of capital budgeting. A project with lower risk should have a discount rate that accurately mirrors its lesser volatility compared to the overall market or the firm's average risk. Therefore, evaluating the investment efficiently means not only considering the projected cash flows but also adjusting the discount rate to account for this identified project risk.

Conclusion

In conclusion, comprehending risk, return, and capital budgeting is integral for investors and corporations alike. While measuring market risk may utilize market indicators and beta values, decision-making in capital budgeting necessitates a deep understanding of individual project risks and their corresponding cost of capital. The CAPM provides a robust mathematical framework that enables the alignment of expected returns with an investor’s risk tolerance, highlighting the paramount importance of risk assessment in investment decisions.

References

  • Black, F., Jensen, M. C., & Scholes, M. (1972). The Capital Asset Pricing Model: Some Empirical Tests. In Studies in the Theory of Capital Markets.
  • Fama, E. F., & French, K. R. (1993). Common risk factors in the returns on stocks and bonds. Journal of Financial Economics, 33(1), 3-56.
  • Miller, M. H., & Modigliani, F. (1961). Dividend Policy, Growth, and the Valuation of Shares. The Journal of Business, 34(4), 411-433.
  • Sharpe, W. F. (1964). Capital Asset Prices: A Theory of Market Equilibrium under Conditions of Risk. Journal of Finance, 19(3), 425-442.
  • Treynor, J. L. (1961). Toward a Theory of Market Value of Risky Assets. Financial Analysts Journal, 17(4), 54-55.
  • Jensen, M. C. (1968). The Performance of Mutual Funds in the Period 1945-1964. Journal of Finance, 23(2), 389-416.
  • Lintner, J. (1965). The Valuation of Risky Assets and the Selection of Risky Investments in Stock Portfolios and Capital Budgets. Review of Economics and Statistics, 47(1), 13-37.
  • Modigliani, F., & Miller, M. H. (1958). The Cost of Capital, Corporation Finance, and the Theory of Investment. The American Economic Review, 48(3), 261-297.
  • Solnik, B. H. (1974). An Equilibrium Model of the International Capital Market. Journal of Financial and Quantitative Analysis, 9(4), 719-739.
  • Roll, R. (1977). A Critique of the Asset Pricing Theory's Tests Part I: On Past and Potential Testability of the Theory. Journal of Financial Economics, 4(2), 129-176.