Suppose your company needs to raise $$40\mathrm{.}7$ million and you want to issue $20-$year bonds for this purpose. Assume the required return on your bond issue will be $5\mathrm{.}7$ percent, and you're evaluating two issue alternatives: a semiannual coupon bond with a coupon rate of $5\mathrm{.}7$ percent and a zero coupon bond. The tax rate is $22$ percent. Both bonds will have a par value of $$1,000.$

a$.$ How many of the coupon bonds would you need to issue to raise the $$40\mathrm{.}7$ million? How many of the zeroes would you need to issue?

Note: Do not round intermediate calculations. Round your coupon bond answer to the nearest whole number, e$.$g$.,32$ and your zero coupon bond answer to $2$ decimals, e:g$.,32\mathrm{.}16.$

b$.$ In $20$ years, what will your company's repayment be if you issue the coupon bonds? What if you issue the zeroes?

Note: Do not round intermediate calculations and enter your answers in dollars, not millions, rounded to the nearest whole number, e$.$g$.,1,234,567.$

c$.$ Assume that the IRS amortization rules apply for the zero coupon bonds. Calculate the firm's aftertax cash outflows for the first year under the two different scenarios.

Note: Input a cash outflow as a negative value and a cash inflow as a positive value. Do not round intermediate calculations and enter your answers in dollars, not millions, rounded to $2$ decim$$l places, e$.$g$.,1,234,567\mathrm{.}89.$

$\backslash$table$[[$a$.$ Number of coupon bonds,,$40,700],[$Number of zero coupon bonds,,$125,246\mathrm{.}69$