4. Consider the prices of four zero-coupon bonds: (you may assume annual compounding) Maturity | Zero-Coupon (Years) Bond Prices 1 $952.4 2. $890.0 3 $827.8 4 $762.9 a. Face value of all bonds is $1,000. What is the yield curve out to 4 years? (i.e., what are the 1, 2, 3 and 4-year spot rates?) b. What are the one-year forward rates for each of the upcoming 3 years? (*) An investor requires a loan of $1,000 for one year in one year's time. How can the investor construct such a loan by trading in the zero-coupon bonds? (i.e., the investor would like to receive $1,000 in one year and return the loan with interest in two years. What will the interest rate on the loan be?) C