### Zero Coupon Bonds Maturity CalculationIn this section, we explore how to determine the maturity period of zero coupon bonds given their prices, assuming they all yield 4% and have a face value of $1,000. Below is a breakdown of the prices and their corresponding maturities:1. **Price: $700.00** - **Maturity: 9.09 years**2. **Price: $880.00** - **Maturity: 3.26 years**3. **Price: $900.00** - **Maturity: 2.69 years**4. **Price: $952.16** - **Maturity: 1.25 years**These values illustrate how the price of a bond relative to its face value can help determine the time to maturity when the yield is constant. A lower bond price typically corresponds to a longer time until maturity. In this case, as the price of the bond increases, the required time to reach maturity decreases at the given yield rate.

A zero coupon bond, as its name indicates, is a bond that has zero coupons. In other words, these…

4. How many years are the following zero coupon bonds, if they all yield 4% and have a face value of $1000 Price Maturity $700.00 9.09 Price $880.00 Maturity 3.26 Price Maturity $900.00 2.69 Price Maturity $952.16 1.25

4. How many years are the following zero coupon bonds, if they all yield 4% and have a face value of $1000 Price Maturity $700.00 9.09 Price $880.00 Maturity 3.26 Price Maturity $900.00 2.69 Price Maturity $952.16 1.25

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 a 4-year, 3% annual coupon payment bond has the following sequence of spot rates: Time to maturity Spot rates 1 year 0.39% 2 years 1.40% 3 years 2.50% 4 years 3.60% Assume a par value of $100. What is the yield to maturity for this bond? A. 4.52% B. 3.52% C. 5.12% D. 6.12%
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 5.424 6.183 Maturity: Month/Year May 32 May 35 May 41 Yield to maturity Asked Bid 103.4664 103.5392 104.5004 104.6461 +.4341 ?? ?? +.5457 Change Ask Yield. 6.079 +.3867 77 4.111 In the above table, find the Treasury bond that matures in May 2035. What is your yield to maturity if you buy this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. %
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 5.952 6.133 Maturity Month/Year May 31 May 34 May 40 Bid Asked 103.4534 103.5262 104.4874 104.6331 ?? ?? Change Ask Yield +.3222 +.4221 +.5327 5.879 ?? 3.911 In the above table, find the Treasury bond that matures in May 2034. What is your yield to maturity if you buy this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Yield to maturity %
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 6.052 6.143 Maturity Month/Year Bid Asked Change May 33 May 36 May 42 103.4560 103.5288 104.4900 104.6357 ?? ?? +.3248 Ask Yield 5.919 +.4245 +.5353 ?? 3.951 In the above table, find the Treasury bond that matures in May 2036. What is your yield to maturity if you buy this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Yield to maturity %
9) You have the following zero-coupon bonds: Years to Bond Yield to Maturity Maturity 6.00% 5.50% 5.00% 4.50% 3 4. Calculate the expected 1-year interest rate 3 years from now (i.e., the 1-year interest rate at the beginning of year 4). O Foc MacBook Pro ABCD
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 6.252 6.163 Maturity Month/Year May 36 May 41 May 51 Bid 103.5462 104.4952 ?? Asked 103.6340 104.6409 ?? Change Ask Yield +.3015 2.329 +.4293 +.5405 ?? 4.031 In the above table, find the Treasury bond that matures in May 2036. What is the coupon rate for this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.
9. An investor purchases 5 zero-coupon bonds, with terms of 1, 2, 3, 4, and 5 years. Each bond has a maturity value of 1,000, and is priced based on the following yield curve: Term (yrs.) Spot rate 2.4% 1 3.0% 3.4% 4 3.7% 5 3.9% What is the modified duration of the investor's portfolio? 2 3
Manshuk
You find the following Treasury bond quotes. To calculate the number of years until maturity, assume that it is currently May 2022. All of the bonds have a par value of $1,000 and pay semiannual coupons. Rate ?? 5.952 6.133 Maturity Month/Year May 30 May 35 May 45 Coupon rate Bid 103.5384 104.4874 ?? Asked 103.6262 104.6331 ?? % Change +.3222 +.4221 +.5327 In the above table, find the Treasury bond that matures in May 2030. What is the coupon rate for this bond? Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. Ask Yield 2.209 ?? 3.911
man.2
Bond Coupon Rate (%) Number of Years to Maturity Price TII $884.20 $948.90 $967.70 $456.39 W X Y 7 8 9 0 5 7 4 10 Calculate the yield to maturity for the four bonds. SOLCE USING BA2 CALC.
Maturity (years) 1 2 3 4 5Zero-coupon YTM 4.6% 5.0% 5.4% 5.8% 6.1% What is the price today of two-year, default-free security with a face value of $1000 and an annual coupon rate of 6%? Does this bond trade at a discount, at par, or at a premium?

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