A contract requires lease payments of $$900$ at the beginning of every month for $5$ years.

a$.$ What is the present value of the contract if the lease rate is $3\mathrm{.}50\%$ compounded annually?

$$

Round to the nearest cent

b$.$ What is the present value of the contract if the lease rate is $3\mathrm{.}50\%$ compounded monthly?

$$

Round to the nearest cent