A portfolio manager summarizes the input from the macro and micro forecasters in the following table:

$$

Micro Forecasts$$AssetExpected Return $(\%)$BetaResidual Standard Deviation $(\%)$Stock A$251\mathrm{.}256$Stock B$191\mathrm{.}670$Stock C$160\mathrm{.}561$Stock D$131\mathrm{.}053$

$$

Macro Forecasts$$AssetExpected Return $(\%)$Standard Deviation $(\%)$T$-$bills$70$Passive equity portfolio$1521$

Calculate the following$$for a portfolio manager who is not allowed to short sell securities$.$ If allowed to short sell securities$,$ the manager's Sharpe ratio is $0\mathrm{.}4194.$

a$.$ What is the cost of the restriction in terms of Sharpe$$s measure? $($Do not round intermediate calculations. Enter your answer as decimals rounded to $4$ places.$)$

b$.$What is the utility loss to the investor $($A $=2\mathrm{.}7)$ given his new complete portfolio?$($Do not round intermediate calculations.Round your answers to $2$ decimal places.$)$