You are given some cash flows for Years $1-5,$ but are trying to find the missing value for Year

You know that the annual nominal required rate of return for these cash nows is $12$

percent, but that interest is compounded on a semi$-$annual basis. You also know that the

value of all five cash flows, evaluated at Year $1,$ is $$80,270\mathrm{.}53.$ Given this information.

determine the value of the missing cash flow at Year $3.$

$$18,000$

$$10,000$

$$14,000$

$$16,000$

$$12,000$