Consider a two-factor Arbitrage Pricing Theory (APT) model, r₁ = a₁ + b₁₁ifi + b2,if2 + €₁, with the following information Asset i fi Asset 1 0.07 0.50 0.25 Asset 2 0.15 1.10 0.75 Asset 3 0.20 1,3 1.0 b1,b2,i b₁,i and the risk-free rate rp is 0.025. (a) Find the value of b1,3 to preclude arbitrage opportunity. (b) Explain how you would exploit an arbitrage opportunity if there is an Asset 4 with 4 = 0.13, b₁,4 = 0.8, and b2,4 = 0.4.
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- Example of CAPM Equation: Case Risk free Rate (Rf) Market return (Km) Beta (b) Required Return A 5% 8% 1.30 ? B 8% 13% 0.90 ? C 10% 15% -0.20% ? D ? 12% 1.0 12% E 6% ? 0.60 9% F 5% 16% ? 10% Required: Using CAPM equation, compute the missing value (?)Compute the expected rate of return on investment i given the followinginformation: Rf = 8%; E(RM) = 14%; βi = 1.0.b. Recalculate the required rate of return assuming βi is 1.8.25. a. Compute the expected rate of return on investment i given the followinginformation: the market risk premium is 5%; Rf = 6%; βi = 1.2.b. Compute E(RM)a. Compute the expected rate of return on investment i given the following information: the market risk premium is 5%; Rf = 6%; βi = 1.2. b. Compute E(RM).
- Consider a single-index model economy. The index portfolio M has E(RM ) = 6%, σM = 18%.An individual asset i has an estimate of βi = 1.1 and σ2ei = 0.0225 using the single index modelRi = αi + βiRM + ei. The forecast of asset i’s return is E(ri) = 12%. rf = 4%. a) According to asset i’s return forecast, calculate αi. (b) Calculate the optimal weight of combining asset i and the index portfolio M . (c) Calculate the Sharpe ratio of the index portfolio M and the portfolio optimally combiningasset i and the index portfolio M .For each of the cases shown in the following table, use the capital asset pricing model to find the required return. case risk free rate market return beta A 5% 8% 1.30 B 8% 13% 0.90 C 9% 12% -0.20 D 10% 15% 1.00 E 6% 10% 0.60 (solve using excel)assume that risk free rate, RF, is currently 8%, the market return, 1m, is 12%, and asset a beta ba, is 1.10. (a) Draw the SML on a set of "non-diversifiable risk Please sent me complete this question for further reliance.
- Given the utility function U = E(r) Ac€?o 0.5AA?A?2 and the fact that T-bill offer a risk-free rate of 4%, what is the minimum value for the risk-aversion coefficient A where an investor prefers the T-bills to an investment returning 10% with a standard deviation of 18%? (Hint: T-bills are risk-free)Assume that the risk-free rate, RF, is currently 9% and that the market return, rm, is currently 16%. a. Calculate the market risk premium. b. Given the previous data, calculate the required return on asset A having a beta of 0.4 and asset B having a beta of 1.8.If the beta of Asset A is 2.2, the risk free rate is 2.5%, and the expected return on Asset A is 8%, what is the expected return on the market (Note: you want to use CAPM)? Group of answer choices 7.28% 5.00% 8.00% 16.80%
- Assume that the risk free rate is currently 3% and that the market retunr is currently 11%. Calculate the market risk premium Give the previous datea, calculate the required retun on asset A having a beta of 0.3 and asset B having a beta of 1.5.Use the required return-beta equation from the CAPM What is the required return if the risk-free rate is 4%, beta 1.5 and the expected market return 8%? What is the risk-free rate if beta is 1.1, the required return 8.4% and the expected market return 8%? What is beta if the risk-free rate is 4%, the required return 12% and the expected market return 8%? What is the expected market return if the risk-free rate is 4%, beta 1.5 and the required return 12%?Consider the following information (Assume that Security M and Security N are in the same financial market): Standard Deviation BetaSecurity M 20% 1.25Security N 30% 0.80 Which security should have higher expected return? Group of answer choices Security M Security N Equal