$5.$ You are negotiating to buy a new car with a car salesman at a local dealer. You have negotiated the price to $$31,000.$ You have $$3,000$ to put towards the down payment and plan to get a loan for the rest. If you can get an annual interest rate of $4$ percent APR $($with monthly compounding$)$ over a $5-$year period, what would be your monthly payment? Round it to two decimal place $($cents$),$ e$.$g$.,234\mathrm{.}56.$

$6.$ What is the present value of a $8-$year ordinary annuity with annual payments of $$570,$ evaluated at a $15$ percent interest rate? Round your answer to $2$ decimal places; for example $2345\mathrm{.}25.$

$7.$A real estate investment has the following expected cash flows:

Year Cash Flows

$1$ $$11,000$

$218,000$

$323,000$

$425,000$

The discount rate is $10$ percent. What is the investment$$s present value? Round your answer to $2$ decimal places; for example $2345\mathrm{.}25.$

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