$5.$ If a semiannual bond with a face value of $$1,000$ has a $7\%$ annual coupon rate and a five$-$year maturity. The current price of the bond is approximate $$1,133\mathrm{.}55.$ What$$s the annual yield$-$to$-$maturity on this bond? $(6)$

$6.$ You want to buy a new car. You can make an initial payment of $$2,500$ and can afford monthly payments of at most $$300.$ If the APR on auto loans is $6\%$ and you finance the purchase over $60$ months, what is the maximum price you can pay for the car? $(6)$

$8.$ On the issue date, you bought a $15-$year maturity, $8\%$ semi$-$annual coupon bond. The bond then sold at YTM of $7\%.$ Now, five years later, the similar bond sells at YTM of $6\%.$ If you hold the bond now, what is your realized rate of return for the $5-$year holding period? $(7)$