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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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The 10-year US Treasury rate is 5% and the return on the S&P 500 index is 10%. If the beta of Orange Inc. is 1.2, what is the expected return on shares of Orange Inc.?

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Explanation:

Explanation

According to the Capital Asset Pricing Model (CAPM):

Expected return of stock = Risk-free rate + Beta × (Market return - Risk-free rate)

Given:

  • Risk-free rate (10-year US Treasury) = 5%
  • Market return (S&P 500) = 10%
  • Beta of Orange Inc. = 1.2

Calculation: E[r] = 5% + 1.2 × (10% - 5%) E[r] = 5% + 1.2 × 5% E[r] = 5% + 6% E[r] = 11%

Key Points:

  • The 10-year US Treasury bonds are considered the risk-free rate
  • The S&P 500 return represents the market return
  • Beta of 1.2 means the stock is 20% more volatile than the market
  • The expected return of 11% compensates for both the time value of money (risk-free rate) and the additional risk premium for the stock's volatility
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