Assume an interest rate of $5\%$ annually, and calculate the PV of the following

cash flows:

$($a$)$ $$2,500$ to be received in three years.

$($b$)$ $$2,000$ to be received at the end of each of the first three years, and $$2,500$

at the end of years four to five.

$($c$)$ $$3,000$ to be received from year one to infinity.

$($d$)$ $$3,500$ to be received as a growing perpetuity $($growth rate $=3\%).$