The following table gives the prices of Treasury bonds: Bond Principal (S) Time to maturity (years) Annual Coupon* (S) Bond Price (S) 100 0.50 100 1.00 100 1.50 100 2.00 0.0 0.0 6.2 8.0 98 95 101 104 A. Calculate zero rates for maturities of 6 months, 12 months, 18 months, and 24 months. B. What are the forward rates for the periods: 6 months to 12 months, 12 months to 18 months, 18 months to 24 months? C. What are the 6-month, 12-month, 18-month, and 24-month par yields for bonds that provide semiannual coupon payments? D. Estimate the price and yield of a two-year bond providing a semiannual coupon of 7% per annum. PLEASE SHOW EXCEL WORK

The following table gives the prices of Treasury bonds: Bond Principal (S) Time to maturity (years) Annual Coupon* (S) Bond Price (S) 100 0.50 100 1.00 100 1.50 100 2.00 0.0 0.0 6.2 8.0 98 95 101 104 A. Calculate zero rates for maturities of 6 months, 12 months, 18 months, and 24 months. B. What are the forward rates for the periods: 6 months to 12 months, 12 months to 18 months, 18 months to 24 months? C. What are the 6-month, 12-month, 18-month, and 24-month par yields for bonds that provide semiannual coupon payments? D. Estimate the price and yield of a two-year bond providing a semiannual coupon of 7% per annum. PLEASE SHOW EXCEL WORK

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R₁ = 4.80%, E(2r₁) = 5.45%, E(3r₁) = 5.95%, E(41) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? A. 5.57% B. 5.62% C. 5.83% D. 6.10%
Consider the following two Treasury securities: Bond Price Modified duration (years) A $100 6 B $80 7 For a 25 basis-point change in interest rates, which bond has the greatest percentage change in price? A. Bond A B. Bond B C. Can't be determined
The following table showing the cash flows for TIPS bonds. Inflation in Year Just Ended Time 0123 2.25% 5.00 3.50 Par Value $ 1,000.00 1,022.50 1,073.63 1,111.20 Coupon Payment + Principal Repayment = $ 46.01 $0 0 48.31 50.00 1,111.20 Required: a. What is the nominal rate of return on the bond in year 2? If real rate of return is 4.50% per annum b. What is the real rate of return in year 2? c. What is the nominal rate of return on the bond in year 3? d. What is the real rate of return in year 3? Total Payment $46.01 48.31 1,161.21
Using the following information, determine the default risk premium on the 10 year AA corporate bond: Rate % inflation 0.80 T-bill 5.00 10y T-Bond 6.00 10y AAA Corporate 6.48 10y AA Corporate 7.03 note: your answer should be to 2 decimal places. So, if your answer is 3.253%, for example, then enter 3.25 without the percent sign.
Suppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R1 = 4.80%, E(2r1) = 5.45%, E(3r1) = 5.95%, E(4r1) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? 5.57% 5.62% 5.83% 6.10%
Using the following information, determine the default risk premium on the 10 year AA corporate bond: Rate % inflation 1.96 T-bill 5.00 10y T-Bond 6.00 10y AAA Corporate 6.46 10y AA Corporate 7.76
Consider the following: Price Yield to maturity Periods to maturity Modified duration Fixed-rate Bond Fixed-rate Note 107.18 5.00% 18 6.9848 100.00 5.00% 8 3.5851 a. For an increase in interest rates of 100 basis points, determine the change in value for the fixed-rate note. Show your work. b. For an increase in interest rates of 100 basis points, determine the change in value for the fixed-rate bond. Show your work. c. Which of the two fixed-rate securities are more sensitive to increases interest rates? Why? d. What would be the most appropriate course of action to take given interest rates are expected to rise? Explain carefully.
Suppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R1 = 4.80%, E(201) = 5.45%, E(3r1) = 5.95%, E(41) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? < A. 5.57% B. 5.62% C. 5.83% D. 6.10%
The following table gives the prices of bonds Bond Principal ($) Time to maturity Annual coupon ($) Bond Price ($) 100 (years) 0.5 100 1 100 100 1.5 2 The bonds provide coupon are semiannual coupon bond a. Calculate 6-month, 12-month, 18-month and 24-month zero rates. 1567 0 98 100 100 101 b. What is the forward rate for the six-month period beginning in 12 months. c. Estimate the price of a two-year bond providing annual coupon of 7% annually.
7. Suppose a bond is purchased with a settlement date of October 15 and the next coupon payment is on December 1. The par amount purchased on the bond is $100,000, and its annual coupon rate is 4% paid semiannually. (1) What is the accrued interest using the 30/360-day count convention? (2 points) (2) What is the accrued interest using the actual/actual day count convention? (2 points)
Assume all bonds have par or face value of 1,000
Consider the following information for a period of years: Arithmetic Mean Long-term government bonds 7.6% Long-term corporate bonds 7.7 Inflation 4.6 What is the real return on long-term government bonds? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. What is the real return on long-term corporate bonds? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.

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