### Educational Exercise: Bond Pricing**Objective:** Learn how to calculate bond prices given changes in yields.#### Given Scenario:Consider three bonds with a 5% coupon rate:- **Bond 1:** 30-year maturity- **Bond 2:** 8-year maturity- **Bond 3:** 4-year maturity#### Tasks:**a. Calculating Bond Prices with Increased Yields**- **Question:** What will be the price of each bond if their yields increase to 6.9%?- **Instructions:** Do not round intermediate calculations. Round your final answers to 2 decimal places.- **Bond Prices:** - 30 Years: __ $ - 8 Years: __ $ - 4 Years: __ $ **b. Calculating Bond Prices with Decreased Yields**- **Question:** What will be the price of each bond if their yields decrease to 4.9%?- **Instructions:** Do not round intermediate calculations. Round your final answers to 2 decimal places.- **Bond Prices:** - 30 Years: __ $ - 8 Years: __ $ - 4 Years: __ $ This exercise assists in understanding how bond prices are affected by changes in yield, which is crucial for investment strategies.

using pv function of excel to calculate price of the bond =PV(rate,nper,pmt,[fv]) rate = YTM nper = time to maturity pmt = coupon amount FV = face value

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Consider three bonds with 5.9% coupon rates, all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has maturity 8 years, and the long-term bond has maturity 30 years. a. What will be the price of each bond if their yields increase to 6.9%? (Do not round intermediate calculations. Round your answers to 2 decimal places.) 30 Years 4 Years 8 Years %$4 Bond price $. 24 b. What will be the price of each bond if their yields decrease to 4.9%? (Do not round intermediate calculations. Round your answers to 2 decimal places.) 30 Years 8 Years 4 Years Bond price $. %24

Consider three bonds with 5.9% coupon rates, all selling at face value. The short-term bond has a maturity of 4 years, the intermediate-term bond has maturity 8 years, and the long-term bond has maturity 30 years. a. What will be the price of each bond if their yields increase to 6.9%? (Do not round intermediate calculations. Round your answers to 2 decimal places.) 30 Years 4 Years 8 Years %$4 Bond price $. 24 b. What will be the price of each bond if their yields decrease to 4.9%? (Do not round intermediate calculations. Round your answers to 2 decimal places.) 30 Years 8 Years 4 Years Bond price $. %24

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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A $1,000 bond has a coupon of 4 percent and matures after tên years. ASsume that the bond pays interest annually. a. What would be the bond's price if comparable debt yields 6 percent? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. $ b. What would be the price if comparable debt yields 6 percent and the bond matures after five years? Use Appendix B and Appendix D to answer the question. Round your answer to the nearest dollar. c. Why are the prices different in a and b? The price of the bond in a is -Select- v than the price of the bond in b as the principal payment of the bond in a is -Select- v than the principal payment of the bond in b (in time). d. What are the current yields and the yields to maturity in a and b? Round your answers to two decimal places. The bond matures after ten years: CY: % YTM: % The bond matures after five years: CY: YTM:
Consider two bonds, a 3-year bond paying annual coupons at 5% and a 10-year bond also paying annual coupons at 5%. Coupons are paid annually (not semiannually). Both are currently trading at par (i.e., price = face value). A. What must be the current discount rate for these bonds? B. Suppose that the discount rate for these bonds suddenly rise to 9%. What is the new price of the 3-year bond? What is the new price of the 10-year bond? C. Compare the price changes (i.e., the current price of $1,000 vs. the new bond price from Part B) of two bonds. Determine whether long-term or short-term bonds are more sensitive to interest rate fluctuation.
Consider a bond that is currently priced at $1100. If the face value of the bond is $1000, coupon payments are made semiannually, the bond matures in 5 years, and the YTM is 3%, what is the coupon rate? Group of answer choices 5.17% 2.58% 3.00% $25.84
Suppose that you want to construct a 2-year maturity forward loan commencing in 3 years. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $ 996.04 895.89 833.92 772.80 675.18 Required: a. Suppose that you buy today one 3-year maturity zero-coupon bond with face value $1,000. How many 5-year maturity zeros would you have to sell to make your initial cash flow equal to zero (specifically, what must be the total face value of those 5-year zeros)? b. What are the cash flows on this strategy in each year? c. What is the effective 2-year interest rate on the effective 3-year-ahead forward loan? d. & e. Confirm that the effective 2-year forward interest rate equals (1 + f4) ×(1 + f5)-1. You therefore can interpret the 2-year loan rate as a 2-year forward rate for the last two years. Alternatively, show that the effective 2-year forward rate equals (1 + y5) 15 + (1+y3) ³. - 1
1. A three-year bond with a $1,000 face-value and 10% coupon rate is sold for $1,000 today (Year 1). If one year later (Year 2) the market interest rate decreases by 5%, then this bond will have a market price of $ ____ (round UP to the nearest integer) next year (Year 2). 2. True or False? The current interest rate on a 10-year coupon bond with face value = $1,000 and annual coupon rate = 3.25% is2.42%. This implies the buyer of the bond will receive a $24.2 payment from the bond issuer every year before maturity while holding the bond. 3. A three-year bond with $1,000 face-value and 10% coupon rate is sold for $1,000 today (YEAR 1). If one year later (Year 2) the market interest rate increases by 5%, then this bond will have a market price of $ ________ (round UP to the nearest integer) then (Year 2).
A 2-year maturity bond with face value of $1,000 makes annual coupon payments of $88 and is selling at face value. What will be the rate of return on the bond if its yield to maturity at the end of the year is: Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. a. 6% b. 8.8% c. 10.8% Rate of Return % % %
A newly issued bond pays its coupons once a year. Its coupon rate is 4.7%, its maturity is 15 years, and its yield to maturity is 7.7%. a. Find the holding-period return for a one-year investment period if the bond is selling at a yield to maturity of 6.7% by the end of the year. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Holding-period return % b. If you sell the bond after one year when its yield is 6.7%, what taxes will you owe if the tax rate on interest income is 40% and the tax rate on capital gains income is 30%? The bond is subject to original-issue discount (OID) tax treatment. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Tax on interest income $ Tax on capital gain $ Total taxes $ c. What is the after-tax holding-period return on the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)…
Consider a 30-year Bond with $1,000 face value, which offers 10% annual coupon, paid once a year.Assume that interest rates, hence YTM (Yield to Maturity) changed from 6% to 7%. What is the duration of the Bond in years? Enter your answer in the following format: 12.34Hint1: Answer is between 10.24 and 12.77Hint2: Duration = (new bond price - old bond price) * (-100) / old bond price
Consider a bond with a current value of $928.01. It is a 10-year, $1,000 bond, coupons paid semi-annually, and has a 7% coupon rate. a. The bond's yield to maturity (YTM) is: b. What will be its value (per $1,000 of face) if its YTM changes to 10%? Question content area bottom Part 1 a. The YTM is enter your response here%. (Round to two decimal places.) b. Value (per $1,000 of face): $enter your response here. (Round to the nearest cent.)
Consider the following $1,000 par value zero-coupon bonds: Bond Years to Maturity Bond B According to the expectations hypothesis, what is the market's expectation of the yield curve one year from now? Specifically, what are the expected values of next year's yields on bonds with maturities of (a) one year? (b) two years? (c) three years? (Do not round intermediate calculations. Round your answers to 2 decimal places.) с D YTM(%) 5.1% Years to Maturity 1 2 3 6.1 6.6 7.1 YTM (%) % % %
Find the duration of a 5.2% coupon bond making semiannually coupon payments if it has three years until maturity and has a yield to maturity of 6.0%. What is the duration if the yield to maturity is 7.0%? Note: The face value of the bond is $100. (Do not round intermediate calculations. Round your answers to 4 decimal places.) 6% YTM 7% YTM #222222222222222 Years Years
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