You are given the following quotes for liquid swap rates. Assume that all time intervals are measured in years.

Term

Bid/Ask

2

6.2-6.5

3

6.4-6.7

4

7.0-7.3

5

7.5-7.8

6

8.1-8.4

You know that the current 12-month Libor rate is 5%.

(a) Calculate the FRA rates for the next five years, starting with a 1 × 2 FRA.

(b) Calculate the discount bond prices B(t0, ti), where ti = 1, …, 6 years.

(c) Calculate the yield curve for maturities of 0 to 18 months.

(d) Calculate the par yield curve.