Your current portfolio is 100% invested in the market. You are considering investing some of your money in a portfolio run by Big Alpha Asset Management (BAAM). BAAM's returns have been quite good over the last five years. In order to understand by how much you could improve the Sharpe Ratio of your current portfolio by putting some of your money in BAAM, you run the following regression using past annualized returns on both the market and BAAM: RBAAM, Rft = a₁ + B₁ (RM₁t - Rft) + €it You estimate the following coefficients, which are all statistically significant: a=0.09; 3= 1.2 Additionally, you estimate the volatility of the residuals from the cove regression (idiosyncratic volatility) to be 0.14. - In that same period the market's annualized volatility was 0.2078. Additionally, you expect the market's excess return to be 0.05 over the coming year. If you believe that the above estimates are representative of what will happen in the coming year, what is the maximum Sharpe Ratio you would be able to achieve by combining your current market portfolio with BAAM? Report your answer rounded to 3 decimals (e.g., 0.7876= 0.788, 0.7874 = 0.787, 12.45% = 0.125, 12.43%=0.124)

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
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Your current portfolio is 100% invested in the market. You are considering
investing some of your money in a portfolio run by Big Alpha Asset
Management (BAAM).
BAAM's returns have been quite good over the last five years. In order to
understand by how much you could improve the Sharpe Ratio of your current
portfolio by putting some of your money in BAAM, you run the following
regression using past annualized returns on both the market and BAAM:
RBAAM, Rft = a₁ + Bi (RM₁t - Rft) + €₁,t
You estimate the following coefficients, which are all statistically significant:
a=0.09; 3= 1.2
Additionally, you estimate the volatility of the residuals from the cove
regression (idiosyncratic volatility) to be 0.14.
In that same period the market's annualized volatility was 0.2078.
Additionally, you expect the market's excess return to be 0.05 over the
coming year.
If you believe that the above estimates are representative of what will happen
in the coming year, what is the maximum Sharpe Ratio you would be able to
achieve by combining your current market portfolio with BAAM?
Report your answer rounded to 3 decimals (e.g., 0.7876= 0.788, 0.7874 =
0.787, 12.45% = 0.125, 12.43%=0.124)
Transcribed Image Text:Your current portfolio is 100% invested in the market. You are considering investing some of your money in a portfolio run by Big Alpha Asset Management (BAAM). BAAM's returns have been quite good over the last five years. In order to understand by how much you could improve the Sharpe Ratio of your current portfolio by putting some of your money in BAAM, you run the following regression using past annualized returns on both the market and BAAM: RBAAM, Rft = a₁ + Bi (RM₁t - Rft) + €₁,t You estimate the following coefficients, which are all statistically significant: a=0.09; 3= 1.2 Additionally, you estimate the volatility of the residuals from the cove regression (idiosyncratic volatility) to be 0.14. In that same period the market's annualized volatility was 0.2078. Additionally, you expect the market's excess return to be 0.05 over the coming year. If you believe that the above estimates are representative of what will happen in the coming year, what is the maximum Sharpe Ratio you would be able to achieve by combining your current market portfolio with BAAM? Report your answer rounded to 3 decimals (e.g., 0.7876= 0.788, 0.7874 = 0.787, 12.45% = 0.125, 12.43%=0.124)
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