Suppose that the index model for stocks A and B is estimated from excess returns with the following results:

RA $=4\mathrm{.}50\%+1\mathrm{.}40$RM $+$ eA

RB $=-2\mathrm{.}20\%+1\mathrm{.}70$RM $+$ eB

$\backslash$sigma M $=24\%$; R$-$squareA $=0\mathrm{.}30$; R$-$squareB $=0\mathrm{.}20$

Assume you create a portfolio Q$,$ with investment proportions of $0\mathrm{.}50$ in a risky portfolio P$,0\mathrm{.}30$ in the market index, and $0\mathrm{.}20$ in T$-$bill. Portfolio P is composed of $60\%$ Stock A and $40\%$ Stock B$.$

Required:

What is the standard deviation of portfolio Q$?$

Note: Calculate using numbers in decimal form, not percentages. For example use $"20"$ for calculation if standard deviation is provided as $20\%.$ Do not round intermediate calculations. Round your answer to $2$ decimal places.

What is the beta of portfolio Q$?$

Note: Calculate using numbers in decimal form, not percentages. For example use $"20"$ for calculation if standard deviation is provided as $20\%.$ Do not round intermediate calculations. Round your answer to $2$ decimal places.

What is the "firm$-$specific" risk of portfolio Q$?$

Note: Calculate using numbers in decimal form, not percentages. For example use $"20"$ for calculation if standard deviation is provided as $20\%.$ Do not round intermediate calculations. Round your answer to $4$ decimal places.

What is the covariance between the portfolio and the market index?

Note: Calculate using numbers in decimal form, not percentages. For example use $"20"$ for calculation if standard deviation is provided as $20\%.$ Do not round intermediate calculations. Round your answer to $2$ decimal places.

a$.$ Standard deviation $\_\_\_\%$

b$.$ Portfolio Beta $\_\_\_\%$

c$.$ Firm specific $\_\_\_\%$

d$.$ Covariance $\_\_\_\%$