Please do not use an online calculator and solve those two questions with explanations and equations. (The answers are given by the way)

A bond is currently priced to yield 7 percent and is selling for 831.10 dollars. If the bond pays semiannual coupon payments, has a $1000 face value, and has 13 years left to maturity, what is the coupon rate for the bond? 3% 4% 5% 6% Suppose Harley Davidson issues a 20 year bond with a face value of $1000, annual coupon rate is 11% and the current price of the bond is $1000. Find the annual yield/discount rate. 10.50% 9.5% 13% 11%