1. A $1000 bond with coupons at 6%, convertible semiannually, matures at par in 10 years. The bond is sold in 22 months with an annual yield to maturity of 8%. Find the sale price assuming simple interest between coupon payments.
2. A 10-year, $1000 bond with coupon at 10%, convertible semiannually, is selling for $1050. Find the yield rate convertible semiannually.
3. A $1000 par value bond with coupons at 10% convertible semiannually is callable five years after issue. The bond matures for $1000 after 8 years and is sold to yield a nominal rate of 6% convertible semiannually under the assumption that the bond will not be called. Find the redemption value at the end of 5 years that will provide the purchaser the same yield to maturity.