The YTM on a bond is the interest rate you earn on your investment if interest rates don'tchange. If you actually sell the bond before it matures, your realized return is known asthe holding period yield (HPY).a. Suppose that today you buy a bond with an annual coupon rate of 6 percent for$1,080. The bond has 13 years to maturity. What rate of return do you expect to earnon your investment? Assume a par value of $1,000. (Do not round intermediatecalculations and enter your answer as a percent rounded to 2 decimal places, e.g.,32.16.)b- Two years from now, the YTM on your bond has declined by 1 percent, and you1. decide to sell. What price will your bond sell for? (Do not round intermediatecalculations and round your answer to 2 decimal places, e.g., 32.16.)b- What is the HPY on your investment? (Do not round intermediate calculations and2. enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)a. Expected rate of returnb-1. Bond priceb-2. HPY%%

Part a: Expected Rate of Return (YTM) Part b-1: Bond Price After 2 Years with Declined YTMNew YTM =…

Answered: The YTM on a bond is the interest rate…

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 your firm issued a bond with 10 years until maturity, a face value of $1000, and a coupon rate of 7% (annual payments). The yield to maturity on this bond when it was issued was 6%. a) What is the holding period return for investors immediately BEFORE the first coupon payment? Now, Assume that this bond DOES NOT pay any coupon b) What was its price when it was issued?
You own a bond with an annual coupon rate of 5% maturing in two years and priced at 85%. Suppose that there is a 23% chance that at maturity the bond will default and you will receive only 45% of the promised payment. Assume a face value of $1,000.A. What is the bond’s promised yield to maturity?B. What is its expected yield (i.e., the possible yields weighted by their probabilities)
You have two bonds in your portfolio, Bond Y and Bond Z. Bond Y matures in 10 years and Bond Z matures in 5 years. They both have the same coupon rates. If interest rates increase or decrease which bond would you expect to have the largest change in their market price?
You are a fixed income analyst with an active investment in two bonds. X and Y. Bond X has a coupon rate of 9% and Bond Y has a 10% annual coupon. Both bonds have 5 years to maturity. The yield to maturity for both bonds is now 10%. If the required return rises by 14%, by what percentage will the price of the bond X change? Please provide complete details of the calculations (formula/steps) of the above question
You are looking at a 18-year zero-coupon bond that has a yield to maturity of 5.0% . What is the value of the bond? Assume semi-annual compounding. le
Assume you can buy a bond that has a par value of $1000, matures in 10 years, yielding 6% and has a duration of 5. If you would like to use this bond to form a guaranteed investment contract “GIC” and offer a guaranteed rate of return to investors for certain years. a. what is the maximum yield you can offer? Why? Explain. b. For how many years would you make the guarantee? Explain.
Suppose today you buy a coupon bond that you plan to sell one year later. Which of the rate of return formula incorporates future changes into the bond's price?
9. Interest Rate Risk. Suppose that you are a fixed income portfolio manager at Bourbon Street Capital. You have the following bonds issued by Royal, Inc. and Chartres, LLC in your portfolio and you want to understand the risk profile of your portfolio. Given that both bonds pay semiannual coupons, answer the following questions. (Remember to convert your answer to units of full years.) Coupon Yield to maturity Maturity (years) Royal, Inc. Chartres, LLC. Bond A Bond B 9% 8% 5 $100.00 $104.055 8% 8% 2 Par $100.00 Price $100.00 (a) What is the DV01 (at current prices) for bonds A and B? (b) What are the Macaulay Durations (at current prices) for the two bonds? (c) What are the modified durations for the two bonds? (d) What is the convexity of the two bonds?
Assume that the Pure Expectations Theory of the term structure is correct. Also assume that the interest rate today on a 9-year security is 6.40%, while the interest rate today on a 15-year security is 8.00%. Finally assume that the interest rate on a 3-year security to be bought at Year 9 and held over Years 10, 11, and 12 is 6.80%. Given this information, determine the average annual return that investors today must expect that they will receive from investing in a 3-year security in 12 Years (that is, buying the security at Year 12 and holding it over Years 13, 14, and 15). O 13.00% O 12.50% 13.50% O 12.00% O 14.00%
The bond J is a bond with a coupon rate of 4%. The bond K is a bond with a coupon rate of 10%. Both bonds have a maturity of 8 years, make semi - annual payments, and have a yield to maturity of 9%. If interest rates suddenly increase by 2%, what is the percentage change in the price of these bonds? And if the rates suddenly decrease by 2%? What does this problem teach you about the interest rate risk of low - coupon bonds?
Suppose you purchase a ten-year bond with 12% annual coupons. You hold the bond for four years and sell it immediately after receiving the fourth coupon. If the bond's yield to maturity was 10.64% when you purchased and sold the bond, a. What cash flows will you pay and receive from your investment in the bond per $100 face value? b. What is the internal rate of return of your investment? Note: Assume annual compounding. a. What cash flows will you pay and receive from your investment in the bond per $100 face value? The cash flow at time 1-3 is $ (Round to the nearest cent. Enter a cash outflow as a negative number.) The cash outflow at time 0 is $ number.) (Round to the nearest cent. Enter a cash outflow as a negative The total cash flow at time 4 (after the fourth coupon) is $. (Round to the nearest cent. Enter a cash outflow as a negative number.) b. What is the internal rate of return of your investment? The internal rate of return of your investment is %. (Round to two decimal…

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