The common stock of Flavorful Teas has an expected return of 21.42 percent. The return on the market is 15 percent and the risk-free rate of return is 4.3 percent. What is the beta of this stock?

Question

BlackTom AI · Accepted Answer

First, identify the CAPM relationship: Expected stock return = Risk-free rate + Beta × (Market return − Risk-free rate). This lets us isolate beta when given the other values.
Option 1: 1.45. If beta were 1.45, the expected return would be 4.3% + 1.45 × (15% − 4.3%) = 4.3% + 1.45 × 10.7% ≈ 4.3% + 15.515% ≈ 19.815%, which is lower than the given 21.42%. So this beta understates the required risk premium.
Option 2: 4.00. With beta 4.00, the expected return would be 4.3% + 4.0 × 10.7% = 4.3% + 42.8% = 47.1%, far above the observed 21.42%. This indicates an implausibly high sensitivity to market moves.
Option 3: 1.60. Calculating with beta 1.60 gives 4.3% + 1.60 × 10.7% = 4.3% + 17.12% = 21.42%, which matches the provided expected return exactly. This aligns perfectly with the CAPM equation.
Option 4: 0.63. With beta 0.63, the expected return would be 4.3% + 0.63 × 10.7% ≈ 4.3% + 6.741% ≈ 11.041%, which is far too low relative to 21.42% and suggests insufficient market sensitivity.
Option 5: 0.80. If beta were 0.80, the expected return would be 4.3% + 0.80 × 10.7% = 4.3% + 8.56% = 12.86%, still well below the given 21.42% and implies a moderate but not matching risk exposure.

In summary, by plugging each candidate beta into the CAPM formula and comparing the resulting expected return to the provided 21.42%, only beta 1.60 yields a perfect match. The other beta values produce expected returns that are too high or too low, indicating they do not reflect the stock’s true risk relative to the market.

BUSFIN 3220 AU2025 (2110) Exam 3 - Requires Respondus LockDown Browser

The common stock of Flavorful Teas has an expected return of 21.42 percent. The return on the market is 15 percent and the risk-free rate of return is 4.3 percent. What is the beta of this stock?

View Explanation

Log in for full answers

Similar Questions

位置5的问题 The common stock of Xiang Estates has an expected return of 13.3 percent. The expected return on the market is 10 percent, the inflation rate is 1.4 percent, and the risk-free rate of return is 1.3 percent. What is the beta of this stock?1.331.411.551.231.38清除选择

The risk-free rate is 2% and the expected return on the market portfolio is 11%. If the CAPM holds, what is the beta on stock YMH with an expected return of 13.7%?

The risk-free rate is 1.5% and the expected return on the market portfolio is 9%. If the CAPM holds, what is the beta on stock YMH with an expected return of 9.68%?

位置1的问题 The common stock of Xiang Estates has an expected return of 13.3 percent. The expected return on the market is 10 percent, the inflation rate is 1.4 percent, and the risk-free rate of return is 1.3 percent. What is the beta of this stock?1.381.551.331.411.23清除选择

BJB, Inc. stock has an expected return of 15.15 percent. The risk-free rate is 3.8 percent and the market risk premium is 8.6 percent. What is the stock's beta?

More Practical Tools for Students Powered by AI Study Helper

Homework AI Solver

Stylized AI Paper Writer

Plagiarism Checker Assistant

Citation AI Academic Writing Tool

In-Class Translation Assistant

AI Note Generator

AI Quiz Answers

Past Exam Questions from University Test Bank

Smart Practice Assistant

Adaptive Practice

Making Your Study Simpler