You observe the yields of the following benchmark securities (all rates are annual):

Every security pays a coupon annually, is worth par and has a coupon equal to its yield. Answer the below questions.

(a) Calculate the missing spot rates.

(b) What is the price of a 5% six-year security per $100 of face?

(c) What is the one-year forward rate starting seven years from now?

(d) What is the two-year forward rate starting six years from now?

In your answers, quote the rates as annual rates.

Please show work.

Year Yield to Maturity | Coupon Rate(%) Spot Rate (%) 1.0 2.0 3.0 4.30% 4.71% 4.92% 5.24% 5.57% 4.0 4.30% 4.70% 4.90% 5.20% 5.50% 5.70% 6.00% 6.50% 6.80% 7.10% 5.0 6.0 7.0 8.0 9.0 7.16% 7.57% 10.0