I want to know specific calculation process about this. (by not using the excel..)

Bond Price Movements Miller Corporation has a premium bond making semiannual payments. The bond has a coupon rate of 7.4 percent, a YTM of 5.4 percent, and 13 years to maturity. The Modigliani Company has a discount bond making semiannual payments. This bond has a coupon rate of 5.4 percent, a YTM of 7.4 percent, and also 13 years to maturity. If interest rates remain unchanged, what do you expect the price of these bonds to be 1 year from now assuming both bonds have a par value of $1,000? In 3 years? In 8 years? In 12 years? In 13 years? What's going on here? Illustrate your answers by graphing bond prices versus time to maturity