e$)$ What is the present value today of a $15-$year annuity of $$1,500$ per payment if the discount

rate is $10\%$ and the first payment is $10$ years from now?

f$)$ What is the present value today of a growing perpetuity if first payment is $$500$ and each

successive payment grows at $2\%?$ Assume the discount rate is $10\%$ and the first payment is $5$ years

from now?