(Term structure of interest rates) You want to invest your savings of $29,000 in government securities for the next 2 years. Currently, you can invest either in a security that pays interest of 7.9% per year for the next 2 years or in a security that matures in 1 year but pays only 6.1% interest. If you make the latter choice, you would then reinvest your savings at the end of the first year for another year a. Why might you choose to make the investment in the 1-year security that pays an interest rate of only 6.1%, as opposed to investing in the 2-year security paying 7 9%? Provide numerical support for your answer. Which theory of term structure have you supported in your answer? b. Assume your required rate of return on the second-year investment is 10.7%, otherwise, you will choose to go with the 2-year security. What rationale could you offer for your preference? a. Why might you choose to make the investment in the 1-year security that pays an interest rate of only 6.1% as opposed to investing in the 2-year security paying 7.9%? Provide numerical support for your answer which theory of term structure have you supported in your answer? If you choose the 2-year security the value of your savings after the second year will be $ the nearest dollar) (Round to If you choose to invest in the 1-year security, the value of your savings after the first year will be $ (Round to the nearest dollar) How much interest must the 1-year security earn after its renewal in the second year in order for your account to equal the 2-year investment? To do as well as you would with the first choice during the second year the 1-year security would have to earn $ (Round to the nearest dollar)