Question

In: Finance

The text discusses 6 features and the impact of the duration (Pp. 516-518) of a bond...

The text discusses 6 features and the impact of the duration (Pp. 516-518) of a bond that affects the sensitivity of its price. Select and analyze one feature or discuss how duration impacts the sensitivity of a bond.

Consider these questions:

Why is the feature a concern?

What does this mean for investors?

Can investors avoid this feature, why or why not?

Solutions

Expert Solution

Bond duration measures how long it takes(measured in years), for an investor to be repaid the bond’s price by the bond’s total cash flows. Also, interest rates and bond prices move in opposite directions: When interest rates rise, bond prices fall, and vice versa. For a zero coupon bond, duration is equal to its time to maturity. For a vanilla bond, duration will always be less than its time to maturity.

Certain factors affect a bond’s duration :

  • Time to maturity. The longer the maturity, the higher the duration, and the greater the interest rate risk. Consider two bonds that each yield 6% and cost Rs.100, but have different maturities. A bond that matures faster – say, in one year – would repay its true cost faster than a bond that matures in 5 years. Consequently, the shorter-maturity bond would have a lower duration and less risk.
  • Coupon rate. If we have two bonds that are identical except their coupon rates, the bond with the higher coupon rate will pay back its original costs faster than the bond with a lower yield. The higher the coupon rate, the lower the duration, and the lower the interest rate risk.

To summarize:

Bonds with a long duration have a higher price fluctuation than bonds with a short duration. Also, the higher the coupon, the lower the volatility and the lower the coupon, the higher the volatility

As a result, if you want to invest in a bond to minimize interest rate risk, a good choice would be a bond with high coupon payments and a short term to maturity. If you think interest rates will decline, a good bet would be a bond with low coupon payments and a long term to maturity, since these factors would magnify the bond’s price increase.


Related Solutions

The text discusses 6 features and the impact of the duration (Pp. 516-518) of a bond...
The text discusses 6 features and the impact of the duration (Pp. 516-518) of a bond that affects the sensitivity of its price. Select and analyze one feature or discuss how duration impacts the sensitivity of a bond. Consider these questions in your answer and reply to your classmates: Why is the feature a concern? What does this mean for investors? Can investors avoid this feature, why or why not?
Compute the duration (D) for a coupon bond with the following features:
  Compute the duration (D) for a coupon bond with the following features:       ● face value            $ 100       ● coupon                  10%       ● yield                        8%       ● maturity              3 years       ● semi-annual a.) Compute the Mac.D for Problem 1 by means of the formula. b.) Compute the corresponding Mod.D. c.) If the market interest rate (yield) goes up by 20 basis points to 8.2%, determine       the approximate fair market price of this bond.
The text (pp. 8-19) discusses six different perspectives in psychology and how each can attempt to...
The text (pp. 8-19) discusses six different perspectives in psychology and how each can attempt to explain a problem from a different angle. For this assignment you are going to think about how the different perspectives in psychology might try to understand a specific behavior. 1. Pick one of the following behaviors to analyze: ◦ Depression ◦ Love ◦ Anger 2. For each of the six perspectives in psychology write a brief explanation of the perspective and then describe how...
e) How to annualize a bi-weekly return? f) Bond Duration and types of Duration g) Features...
e) How to annualize a bi-weekly return? f) Bond Duration and types of Duration g) Features of Macaulay’s Duration Measure h) Term Structure of Interest Rate and Term Structure Theory i) Convexity of a Bond j) Convexity of a Callable Bond[hint: see RB textbook] k) Immunization Strategy l) Zero-coupon bond vs. Perpetuity and their duration measures
Compute the Macaulay duration and modified duration of a 6%, 25-year bond selling at a yield...
Compute the Macaulay duration and modified duration of a 6%, 25-year bond selling at a yield of 9%. Coupon frequency and compounding frequency are assumed to be semiannual.
. Question 6 What is the duration of a 4 year coupon bond with a face...
. Question 6 What is the duration of a 4 year coupon bond with a face value of $1000, a coupon rate of 8% and interest rate is 10%? A. 3.12 B. 3.89 C. 3.56 D. 3.48 Question 7 What is the amount of the annual coupon payment for a bond that has 8 years until maturity, sells for $1,150, and has a yield to maturity of 9.37%? A. 121.17 B. 130.18 C. 108.63 D. 104.97 Question 8 In a...
1. What is the Macaulay duration of a 7.4% coupon bond with 6 years to maturity...
1. What is the Macaulay duration of a 7.4% coupon bond with 6 years to maturity and a price of $1,029.90? 2. What is the modified duration?
6. What is the duration of a two-year bond that pays an annual coupon of 5%,...
6. What is the duration of a two-year bond that pays an annual coupon of 5%, returns the face value, and has a current yield to maturity of 4.5%. Use $1000 as the face value. (show the calculation, so i can study) 7. What is the duration of a two-year zero-coupon (principal-only) bond that is yielding 6% and $10,000 face value? Note: This bond does not have coupon payments but does return the face value. (show the calculation, so i...
a. Calculate the duration of a 6 percent, $1,000 par bond maturing in three years if...
a. Calculate the duration of a 6 percent, $1,000 par bond maturing in three years if the yield to maturity is 10 percent and interest is paid semiannually. b. Calculate the modified duration for a 10-year, 12 percent bond with a yield to maturity of 10 percent and a Macaulay duration of 7.2 years.
a. Find the duration of a 6% coupon bond making (semiannually) coupon payments if it has...
a. Find the duration of a 6% coupon bond making (semiannually) coupon payments if it has three years until maturity and has a yield to maturity of 6%. b. What is the duration if the yield to maturity is 10%?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT