Question

Consider a coupon bond with C = 6, M = 100, and n = 20. Assume...

Consider a coupon bond with C = 6, M = 100, and n = 20. Assume a flat spot curve, and y = .06

Calculate modified duration.

Homework Answers

Answer #1

Coupon Amount = 6

Maturity value (Face value) = 100

Couon rate (c) = 6/100 = 0.06

Yield rate (y) = 0.06

Maturity (n) = 20

Firstly, calculated the duration of Bond with following equation:

putting values

Now, Modified Duration(M'D) can be computed with following equation:

Know the answer?
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for?
Ask your own homework help question
Similar Questions
Consider a coupon bond with semi-annual coupon rate 6%, M = 100, and n = 20....
Consider a coupon bond with semi-annual coupon rate 6%, M = 100, and n = 20. Assume the semi-annual yield to maturity y = 6%. Let ? ′ denote the reinvestment rate of the coupon payments. Let ? ′ denote the interest rate at the time of sale. Also, assume your holding period to equal the Macaulay duration of the bond rounded to the closest integer. Calculate the total future dollars at the end of the holding period under the...
Consider a 3-year 8% semiannual coupon bond. The YTM of this bond is 6%. Compute the...
Consider a 3-year 8% semiannual coupon bond. The YTM of this bond is 6%. Compute the following a) Macaulay Duration (use  Mac Duration b) Modified Duration c) Effective duration (assume a ±50 BP change of Yield) d) Convexity Factor (use e) Effective Convexity Factor (assume a ±50 BP change of Yield)
Consider a zero-coupon bond with $100 face value that matures in seven years and has a...
Consider a zero-coupon bond with $100 face value that matures in seven years and has a yield of 7%. i) What is the price when we assume that the (discrete) compounding frequency is semiannual? ii) What is the bond’s modified duration? iii) Use the modified duration to find the approximate changes in price if the bond yield rises by 10, 20, 50, 100 and 200 basis points. iv) evaluate the same bond price if rates changes by -200 bps, -100...
10. Assume you have a portfolio comprising 5 zero-coupon bonds that have 2 years to maturity...
10. Assume you have a portfolio comprising 5 zero-coupon bonds that have 2 years to maturity and 6 zero-coupon bond with a maturity of 20 years. Assuming semi-annual compounding and that all bonds have a face value of 100 and that the yield curve is flat at 5% pa, what is the modified duration of this portfolio? Group of answer choices None of the answers provided are correct 7.752 13.711 10.732 7.609
Consider a bond that has a coupon rate of 5%, five years to maturity, and is...
Consider a bond that has a coupon rate of 5%, five years to maturity, and is currently priced to yeild 6%.Calculate the following: a)Macaulay duration b) Modified duration c)Effective duration d)Percentage change in price for a 1% increase in the yield to maturity
Assume a flat yield curve of 6%. A 3-year $100 bond is issued at par paying...
Assume a flat yield curve of 6%. A 3-year $100 bond is issued at par paying an annual coupon of 6%. What is the bond’s expected return if a trader predicts that the yield curve 1 year from today will be a flat 7%? 2.31% 4.19% 6.00% 8.83% 9.21%
Consider two bonds, both pay annual interest.  Bond C has a coupon rate of 7% annually, with...
Consider two bonds, both pay annual interest.  Bond C has a coupon rate of 7% annually, with 5 years to maturity. Bond D has a coupon rate of 8% annually with 5 years to maturity. The yield to maturity today for these bonds is 6%. What is the Modified duration for Bond C
Suppose a 6-year zero-coupon bond with a face value of $100 trades at $76.235. If the...
Suppose a 6-year zero-coupon bond with a face value of $100 trades at $76.235. If the yield increases by 125 basis points, what is the magnitude of the error between the exact new bond price and the first-order approximation of the new bond price using the Modified Duration?
Consider a 20-year maturity, 9% annual coupon bond trading at a price of 134.41. When rates...
Consider a 20-year maturity, 9% annual coupon bond trading at a price of 134.41. When rates rise 0.001, price reduces to 132.99, and when rates decrease by 0.001, price goes up to 135.85. What is the modified duration of the bond?
Consider a 2-year bond with 6% coupon rate and a yield to maturity of 7%. Calculate...
Consider a 2-year bond with 6% coupon rate and a yield to maturity of 7%. Calculate the duration of the bond.
ADVERTISEMENT
Need Online Homework Help?

Get Answers For Free
Most questions answered within 1 hours.

Ask a Question
ADVERTISEMENT