Problem 1. Price to yield. Zero coupon bonds. Given the following price information on zero coupon bonds (based on $1000 par): Bond Maturity (yr) 1.0 2.0 3.0 4.0 5.0 A B C D E Price ($) 956.94 898.45 827.85 748.80 665.05 (a) What are the cash flows of each bond? (b) Calculate the spot yield (annual compounding) to each maturity date. A spot rate (or yield) is the yield of a zero coupon bond maturing on that date. (Note: you do not need to use a "trial and error" method for price to yield problems involving zero coupon bonds). Remember a zero coupon is a single payment (the par amount) in the future. (c) Calculate the present value factor (or discount factor) at each maturity date. The present value factor (or discount factor) for a date is the present value (the value today) of a single payment of $1 on that date. $800 $700 $300 $500 $600 (d) What is the relationship between a zero coupon bond price and the present value factor (discount factor) for that date? (e) If you are given zero coupon bond prices and you have a calculator that cannot do exponents, how would you calculate the present value of several cash flows? (f) Using only the zero coupon bond prices above, calculate the present value of these cash flows? Year 1 Year 2 Year 3 Year 4 Year 5