A bond has a 100$ face value, a time to maturity of 10 years, and a coupon rate of 8%, with interest paid annually. Suppose that today is the 1/1/2022 (therefore, the maturity date is 31/12/2031).
a. If the current market price is 80$, what will be the approximate capital gain yield of this bond over the year 2022 if its yield to maturity remains unchanged?
b. What would be the price today if the market interest rate is 10%?
