Using compounded interest solve: $1)$ If the cost of capital is $8\%,$ what is the PV of $$286$ paid in year $12?2)$You just inherited a trust that will pay you $$100,000$ per year in perpetuity. However, the first payment

will occur exactly four years from today. Assuming a $12\mathrm{.}5\%$ annual interest rate, what is the value of

this trust? $3)$Fanny invests $$22,000$ in a family project that earns a $6\%$ interest rate every year. How much will she

receive after $5$ years?