A $15-$year term life insurance policy requires premiums of $$45$ per month. The first payment is made on the day that the policy is written. The insurance company immediately pays $$4,000$ into a fund to cover potential claims and this money cannot be recovered by the company. Using an interest rate of $6\mathrm{.}6\%$ compounded monthly, what is the present value of the policy to the insurance company?

Multiple Choice

$$1,161\mathrm{.}62$

$$5,133\mathrm{.}39$

$$1,836\mathrm{.}21$