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You observe the yields of the following Treasury securities (all yields are shown on a bond-equivalent basis): Year (Period) Yield to Maturity (%) Spot Rate

You observe the yields of the following Treasury securities (all yields are shown on a bond-equivalent basis):

Year (Period)

Yield to Maturity (%)

Spot Rate (%)

Year (Period)

Yield to Maturity (%)

Spot Rate (%)

0.5 (1)

5.25

5.25

5.5 (11)

7.75

7.97

1.0 (2)

5.50

5.50

6.0 (12)

8.00

8.27

1.5 (3)

5.75

5.76

6.5 (13)

8.25

8.59

2.0 (4)

6.00

?

7.0 (14)

8.50

8.92

2.5 (5)

6.25

?

7.5 (15)

8.75

9.25

3.0 (6)

6.50

?

8.0 (16)

9.00

9.61

3.5 (7)

6.75

?

8.5 (17)

9.25

9.97

4.0 (8)

7.00

?

9.0 (18)

9.50

10.36

4.5 (9)

7.25

?

9.5 (19)

9.75

10.77

5.0 (10)

7.50

?

10.00 (20)

10.00

11.20

All the securities maturing from 1.5 years on are selling at par. The 0.5 and 1.0-year securities are zero-coupon instruments. Answer the below questions.

(a) Calculate the missing spot rates in year 2 and 2.5.

(b) What is the six-month forward rate starting in the sixth year?

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