1. Assume the following information about a Treasury zero-coupon yield curve today: Maturity (years) Zero rates (%) Maturity (years) Zero rates (%) 2.30 3.50 2.70 3.80 4.00 4.20 4.30 1 2 3 4 5 All rates above are with continuous compounding. a. Calculate the corresponding rates under semi-annual compounding. Calculate the price of a 4-year Treasury bond with face value $1,000 that pays coupon annually at the coupon rate of 4%. b. c. If the government wants to issue a 5-year bond that pays coupon annually and priced at par (face value $1,000), what should be the amount of each coupon payment? 2.90 3.10 3.20 6 7 8 9 10

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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Chapter1: Investments: Background And Issues
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1. Assume the following information about a Treasury zero-coupon yield curve today:
Maturity (years) Zero rates (%) Maturity (years) Zero rates (%)
1
2.30
3.50
2
2.70
7
3.80
3
2.90
4.00
4
3.10
9.
4.20
3.20
10
4.30
All rates above are with continuous compounding.
a. Calculate the corresponding rates under semi-annual compounding.
b. Calculate the price of a 4-year Treasury bond with face value S1,000 that
pays coupon annually at the coupon rate of 4%.
c. If the government wants to issue a 5-year bond that pays coupon annually
and priced at par (face value $1,000), what should be the amount of each
coupon payment?
Transcribed Image Text:1. Assume the following information about a Treasury zero-coupon yield curve today: Maturity (years) Zero rates (%) Maturity (years) Zero rates (%) 1 2.30 3.50 2 2.70 7 3.80 3 2.90 4.00 4 3.10 9. 4.20 3.20 10 4.30 All rates above are with continuous compounding. a. Calculate the corresponding rates under semi-annual compounding. b. Calculate the price of a 4-year Treasury bond with face value S1,000 that pays coupon annually at the coupon rate of 4%. c. If the government wants to issue a 5-year bond that pays coupon annually and priced at par (face value $1,000), what should be the amount of each coupon payment?
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