Bond value and timelong dashChanging required returns$$Personal Finance Problem $$Lynn Parsons is considering investing in either of two outstanding bonds. The bonds both have $$$$1,000$ par values and $14\%$ coupon interest rates and pay annual interest. Bond A has exactly $9$ years to$$ maturity, and bond B has $19$ years to maturity.$$

a$.$Calculate the present value of bond A if the required rate of return$$ is: $(1)11\%,(2)14\%,$ and$(3)17\%.$

b$.$Calculate the present value of bond B if the required rate of return$$ is: $(1)11\%,(2)14\%,$ and$(3)17\%.$

c$.$ From your findings in parts a and b$,$ discuss the relationship between time to maturity and changing required returns.

d$.$If Lynn wanted to minimize interest rate$$ risk, which bond should she$$ purchase? $$ Why?