4) Compute the price of a quarterly coupon-paying bond with annual coupon rate = 4%, face value = $ 1000) which has exactly 2 years to maturity (has just paid a coupon yesterday) if its ytm = 2.00%.

5) Compute the ytm of an annual-coupon-paying bond with annual coupon rate = 6%, face value = $ 100) which has exactly 1 year to maturity (has just paid a coupon yesterday) if its price is $ 103.70 ?