Suppose that the S&P $500,$ with a beta of $1\mathrm{.}0,$ has an expected return of $12\%$ and T$-$bills provide a risk$-$free return of $4\%.$

What would be the expected return and beta of portfolios constructed from these two assets with weights in the S&P $500$ of $(1)0$; $(2)0\mathrm{.}25$; $(3)0\mathrm{.}50$; $(4)0\mathrm{.}75$; $(5)1\mathrm{.}0?$

Note: Leave no cells blank $-$ be certain to enter $"0"$ wherever required. Do not round intermediate calculations. Enter the value of Expected return as a percentage rounded to $2$ decimal places and value of Beta rounded to $2$ decimal places.

How does the expected return vary with beta?

Note: Do not round intermediate calculations.