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1. Bootstrap: You are given these prices for three Treasuries with semi-annual p

ID: 2779587 • Letter: 1

Question


1. Bootstrap: You are given these prices for three Treasuries with semi-annual payments: Bond Maturity (Years) Coupon Rate (%) 8.00 4.00 Price 97.561 90.703 6.00 a) Construct combinations, or portfolios, of these securities that replicate (mimic) zero b) Use the synthetic zeros (coupon securities held in a portfolio that mimic zeros) to c) coupon bonds with maturities 0.5,1.0, and 1.5 years. compute their prices. Use the prices of zeros to compute spot rates and forward rates. age 1 of 2 220 Words English (US) sc : Fl F2 F3 F5

Explanation / Answer

Zero coupon bond value = F / (1 + r)t

Where:
F = face value of bond
r = rate or yield
t = time to maturity

bound

maturity

Coupon rates

price

Zero Coupon Bond Value

A

0.5

8.00

97.561

93.88

B

1.0

4.00

90.703

87.21

C

1.5

6.00

80.496

73.76

bound

maturity

Coupon rates

price

Zero Coupon Bond Value

A

0.5

8.00

97.561

93.88

B

1.0

4.00

90.703

87.21

C

1.5

6.00

80.496

73.76