Answer:
I strongly believe that the requirement is to calculate the price of the bond.
The bond is worth $ 70,824,063.03
Explanation:
It is noteworthy that a rational would-be investor would pay for a bond a price that reflects the cash flows receivable from the bonds in future discounted to today's terms.
The future cash flows comprise of the semi-annual coupon interest of $4 million(10%/2 *$80 million) for 20 periods as well as the repayment of the principal $80 million at the end of period 20
Since coupon is paid every six months, the coupon would be twenty times over the life of the bond(paid twice a year for 10 years)
To bring the cash inflows today's term, we multiply them them by the discounting factor 1/(1+r)^N , where is the yield to maturity of 12% and N is the relevant the cash flow is received.
The discounting is done in attached spreadsheet leading $ 70,824,063.03 present value today.
