A tax$-$exempt bond was recently issued at an annual coupon rate of $10\%$ and reaches

maturity $15$ years from today. The bond's par value is $$1,000.$

A$.$ If the required market rate of return is $10\%,$ what is the market price of the

bond?

B$.$ If the required market rate of return falls to $5\%,$ what is the market price of the

bond?

C$.$ If the required market rate of return increases to $14\%,$ what is the market price

of the bond?

D$.$ At what required market rate of return $-10\%,5\%,14\%-$ does the

aforementioned bond sell at a discount to par value? A premium?

Assume that the bond from problem #$1$ reaches maturity in $5$ years instead of $15$

years, with the same coupon rate and par value. What would the relevant market

prices be at $10\%,5\%,$ and $14\%$ required market rates of return?