In: Finance
6.You have assets A and B. Asset A has an expected return of 10%. The market portfolio return is 12%. The risk free rate is 2%. What is the expected return of asset B if the covariance between A and the market portfolio return is 0.032 and the covariance between B and the market portfolio return is 0.048?
with detailed explanation please
find expected return on asset B
Firstly, with the given information calculate beta for asset A:
using the formula for Capital Asset pricing model (CAPM) :
beta = (expected return for A - risk free rate)/(expected return for market portfolio- risk free rate)
2) Then calculate variance for market portfolio using the formula:
variance = covariance for asset A & market portfolio/ beta for asset A
3) using the variance for market portfolio, calculate beta for Asset B
Beta = Covariance for Asset B & market portfolio/ variance of market portfolio
4)
using this beta and the formula for CAPM , calculate the expected return for asset B
expected return for B = risk free rate + (beta for B * (expected return for market portfolio - risk free rate))