This problem demonstrates the dependence of an annuity$$s present value on the size of the periodic payment. Calculate the present value of $20$ end$-$of$-$year payments of: $($Do not round intermediate calculations and round your final answers to $2$ decimal places.$)$

a$.$ $$1,100$

b$.$ $$2,100$

c$.$ $$3,100$

Use a discount rate of $5\mathrm{.}1\%$ compounded annually. After completing the calculations, note that the present value is proportional to the size of the periodic payment.