The sharpe ratio for a portfolio with return of 12%, risk-free asset return of 4% and excess return of 25% will be 32%.
In finance, the Sharpe ratio compares an investment's performance to a risk-free asset after accounting for its risk. It is calculated by dividing the difference between the returns on the investment and the risk-free return by the standard deviation of the returns on investments. It is a way to gauge how much more money an investor makes for each unit of increased risk.
The Sharpe ratio aims to demonstrate how well an asset's return makes up for an investor's assumed risk.
To solve the question :
Sharpe Ratio will be calculated using the formula :
= (Rp−Rf)/σp
where,
Rp = return of portfolio
= 12/100
= 0.12
Rf = risk-free rate
= 4/100
= 0.04
σp = standard deviation of portfolio’s excess return
=25/100
= 0.25
Therefore, Sharpe Ratio will be:
= (Rp−Rf)/σp
= (0.12 - 0.04)/0.25
= 0.08/0.25
= 0.32 or 32%
Hence, the Sharpe ratio is 32%.
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