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you are given the following quotes for liquid fras paid in arrears assume that all t 599229

You are given the following quotes for liquid FRAs paid in arrears. Assume that all time intervals are measured in months of 30 days.

Term

Bid/Ask

3 × 6

4.5-1.6

6 × 9

4.7-1.8

9 ×12

5.0-5.1

12 × 15

5.5-5.7

15 × 18

6.1-6.3

You also know that the current 3-month Libor rate is 4%.

(a) Calculate the discount bond prices B(t0, ti), where ti =6,9,12,15, and 18 months.

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

(c) Calculate the swap curve for the same maturities.

(d) Are the two curves different?

(e) Calculate the par yield curve.

(f) Calculate the zero-coupon yield curve.

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