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

Micro Forecasts

Asset Expected Return $(\%)$ Beta Residual Standard Deviation $(\%)$

Stock A $231\mathrm{.}857$

Stock B $202\mathrm{.}071$

Stock C $191\mathrm{.}162$

Stock D $151\mathrm{.}351$

Macro Forecasts

Asset Expected Return $(\%)$ Standard Deviation $(\%)$

T$-$bills $120$

Passive equity portfolio $1830$

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 $0\mathrm{.}2283.$

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 $=2\mathrm{.}1)$ given his new complete portfolio? $($Do not round intermediate calculations. Round your answers to $2$ decimal places.$)$