The Buy $N$ Large Corporation is considering issuing some bonds. They wish to issue $1000$ bounds with a monthly coupon, an APR of $12\%,$ and a face value of $$1000.$ You can see that other bonds previously issued by Buy $N$ Large have an annual yield to maturity of $10\%.$ Assume that choosing to issue these bonds doesn't change the riskiness, and thus the yield to maturity, of Buy N Large's bonds.

a$.$ How much will each coupon payment be$?$

b$.$ What will the price of the bond be when issued?

c$.$ How much money will Buy $N$ Large raise from the sale of these bonds?