You are considering investing in a security that matures in 10 years with a par value of $1,000. During the first five years, the security has an 8 percent coupon with quarterly payments (i.e., you receive $20 a quarter for the first 20 quarters). During the remaining five years the security has a 10 percent coupon with quarterly payments (i.e., you receive $25 a quarter for the second 20 quarters). After 10 years (40 quarters) you receive the par value. Another 10-year bond has an 8 percent semiannual coupon (i.e., the coupon payment is $40 every six months). This bond is selling at its par value, $1,000. This bond has the same risk as the security you are thinking of purchasing. Given this information, what should be the price of the security you are considering purchasing?
Please provide me with the detail explanation for solving this problem.