You have estimated spot rates as follows: r1=5.10%,r2=5.50%,r3=5.80%,r4=6.00%,r5=6.10%. a. What are the discount factors for each date (that is, the present value of $1 paid in year t ? (Do not round intermediate calculations. Round your answers to 3 decimal places.) b. Calculate the PV of the following $1,000 bonds assuming an annual coupon and maturity of : (i) 5.1%, two-year bond; (ii) 5.1%, fiveyear bond; and (iii) 10.1\%, five-year bond. (Do not round intermediate calculations. Round your answers to 2 decimal places.)