An investor is considering buying a 20-year corporate bond. The bond has a face value of $1000 and pays 6% interest per year in two semiannual payments. THus the purchaser of the bond will receive $30 every 6 months in addition to $1000 at the end of 20 years, along with the last $30 interest payment.

If the investor wants to recieve $8 interest, compounded semiannually, how much would he or she be willing to pay for the bond. Please include a cashflow diagram. Along with the original formula used.