An investor owns a $3,000 par-value 12% bond with semiannual coupons. The bond will matrue at par at the end of fourteen years. The investor decides that a ten-year bond would be preferable. Current yield rates are 6% convertible semiannually. The investor uses the proceeds from the sale of the 12% bond to purchase and 8% bond with semiannual coupons, maturing at par at the end of ten years. Find the face value of the 8% bond.
Please show step by step and set up a formula.