Bond A is a 4% coupon (paid semi-annually) with 3 years to maturity and $100 face value per contract. The yield curve is flat at 8% per annum. a) Compute the bond's Macaulay Duration. b) Compute the bond's Modified Dollar Duration. c) Yield curves take various shapes, therefore, it is important to understand why these yield curves shift and change slope over time. There are a number of theories and hypotheses of interest rate determination that attempt to explain their shape. Identify and delzribe three (3) of these theories or hypotheses giving examples of each.

Bond A is a 4% coupon (paid semi-annually) with 3 years to maturity and $100 face value per contract. The yield curve is flat at 8% per annum. a) Compute the bond's Macaulay Duration. b) Compute the bond's Modified Dollar Duration. c) Yield curves take various shapes, therefore, it is important to understand why these yield curves shift and change slope over time. There are a number of theories and hypotheses of interest rate determination that attempt to explain their shape. Identify and delzribe three (3) of these theories or hypotheses giving examples of each.

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 few years ago, Big Rock invested in a number of bonds with various maturity dates. Several of these bonds will mature in the coming months. However, there is some disagreement about how to calculate the bond yields. Some people are insisting that the nominal yield should be used. Others have said the yield-to-call should be used. And a third group believes that the realized yield should be used. Explain each of the following methods that can be used to calculate the yield of a bond. a. Nominal yieldb. Yield to callc. Realized Yield
. Risks of investing in bonds A security with higher risk will have a higher expected return. A bond’s risk level is reflected in its yield, but understanding the different risks involved when investing in bonds is important. The curves on the following graph show the prices of two 10% annual coupon bonds at various interest rates. Based on the graph, which of the following statements is true? Neither bond has any interest rate risk. The 1-year bond has more interest rate risk. Both bonds have equal interest rate risk. The 10-year bond has more interest rate risk. Which type of bonds offer a higher yield? Noncallable bonds Callable bonds Answer the following question based on your understanding of interest rate risk and reinvestment risk. True or False: Assuming all else is equal, the shorter a bond’s maturity, the more its price will change in response to a given change in interest rates. False True
Longer maturity bonds have low Blank 1 risk but high Blank 2 risk, while higher coupon bonds have a lower level of Blank 3 risk and a higher level of Blank 4 risk. To account for the effects related to both a bond's maturity and coupon, many analysts focus on a measure called duration, which is the Blank 5 of the time it takes to receive each of the bond's cash flows.
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?
A newly issued bond with 1 year to maturity has a price of $1,000, which equals its face value. The coupon rate is 15% and the probability of default in 1 year is 35%. The bond’s payoff in default will be 65% of its face value. a. Calculate the bond’s expected return. b. Use a data table to show the expected return as a function of the recovery percentage and the price of the bond. Please show how you got part B using all functions.
Which are TRUE about the inverse relationship between price and yield: a. when interest rates rise; bond prices fall b. interest rates have no effect on the price of a zero-coupon bond c. when yields go up; prices go down d. the yield on a 30-year bond goes up when interest rates go up
Suppose the returns on long-term government bonds are normally distributed. Assume long-term government bonds have a mean return of 6.1 percent and a standard deviation of 9.8 percent. What is the approximate probability that your return on these bonds will be less than −3.7 percent in a given year? Use the NORMDIST function in Excel® to answer this question. Note: Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16. What range of returns would you expect to see 95 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. What range would you expect to see 99 percent of the time? Note: A negative answer should be indicated by a minus sign. Enter your answers from lowest to highest. Do not round intermediate calculations and enter…
The rise and fall of a bond's price has a direct inverse relationship to its yield to maturity, or interest rate. As prices go up, the yield declines and vice versa. For example, a $1,000 bond might carry a stated annual yield, known as the coupon of 8%, meaning that it pays $80 a year to the bondholder. If that bond was bought for $870, the actual yield to maturity would be 9.2% ($80 annual interest on $870 of principal). Do you agree with this analysis? Briefly explain.
For the yield-to-maturity (YTM) to qual the actual compound return an investor realizes on an investment in a coupon bond, we must assume: O A. cash flows will be paid as promised. B. The bond will be held until maturity. C. cash flows will be reinvested at the YTM rate. D. All of the above.
2
Consider a portfolio of bonds that have an average default rate of 1%. The correlation between normalized default times for these bonds is 0.14. What is the 99.9% worst-case default rate for this bond portfolio? Note: Your answer must be expressed in percentage terms and accurate to within 0.16.
Which one of the following will decrease the current yield of a bond? changing the frequency of coupon payment from semi-annual to annual. increasing the face value. increasing the coupon rate. decreasing the yield to maturity. decreasing the bond price.

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