Calculate the expected value of your portfolio at the end of one year. Integer

Calculate the variance of the value of your portfolio at the end of one year. Integer

Suppose you have "mean$-$variance preferences" and your level of utility is $U=10E[W]-$Var$(W)$

Calculate the level of utility from your portfolio. Integer

The expected rate of return on the first bond fund is lower than the expected rate of return on the second bond fund. Therefore, you can increase the expected value of your portfolio by putting less into the first bond fund, and more into the second bond fund. You might think utility will increase because the variances of rates of return of the two assets are the same, so you'd be shifting toward a higher rate of return asset, and the higher rate of return asset does not have a larger variance.

Suppose you put $$1,000$ into the first bond fund and $$4,000$ into the second bond fund. Now what is your level of utility? Integer