Question

In: Finance

What is the Macaulay’s Duration of a portfolio of bonds that invests 40% in a 5-year...

What is the Macaulay’s Duration of a portfolio of bonds that invests 40% in a 5-year zero coupon bond with a par of $100 and 60% in a 3 year, 5% coupon interest bond (p.a.), with a par of $100. Assume Yield to Maturity is 8% p.a.?

*Please assist with a worked answer

Solutions

Expert Solution


Related Solutions

Calculate the yield to maturity and the duration of the following portfolio of bonds. one year...
Calculate the yield to maturity and the duration of the following portfolio of bonds. one year T-bill yielding 4.65% Three-year AAA-rated bond paying semiannual coupons at 5% with a yield of 5.25% Two-year BBB-rated bonds paying semiannual coupons at 5.5% with a yield of 6.75%
Calculate the duration for each of following bonds or portfolio in (1)-4) and answer question (5)....
Calculate the duration for each of following bonds or portfolio in (1)-4) and answer question (5). A 10-year bond with 8% annual coupon and 8% yield to maturity. PLEASE EXPLAIN HOW YOU GOT EACH A 30-year bond with 2% annual coupon and 8% yield to maturity. 100-year bond with 9% annual coupon and 8% yield to maturity portfolio of bond (1) and (2), with 30.71% invested in bond (1) and 69.29% in bond (2). (Hint: Duration of a portfolio equals...
What is duration of bonds? Why is it important?
What is duration of bonds? Why is it important?
What is the duration of your bond portfolio if you invest 30% of your portfolio in...
What is the duration of your bond portfolio if you invest 30% of your portfolio in a bond with a duration of 12.2 (let’s denote it BA), 30% in a 20-year zero-coupon bond (let’s denote it BZ), and 40% in a 3-year bond with a 12% annual coupon, par value of $1000, and a yield to maturity of 7% (let’s denote it BB)? 10.74 years 12.5 years 9.3 years 4 years
What is the duration of a 2 year bond that pays a 5% annual coupon with...
What is the duration of a 2 year bond that pays a 5% annual coupon with a 9% YTM? Use $1000 as the face value of the bond. Using the duration, what is the expected change in the bond if rates are expected to drop by 25 basis points?
Portfolio A has $65 million in stock and $45 million in bonds. Portfolio B has $40...
Portfolio A has $65 million in stock and $45 million in bonds. Portfolio B has $40 million in stock and $70 million in bonds. Portfolio manager A makes a swap with portfolio manager B to exchange stock for bonds with a notional principal of $25 million. Year-end returns are as follows. Stock return         4%                   Bond return            6% A. Show the asset allocation for each portfolio before the swap here; Identify as A or B. Portfolio A Portfolio B Dollars Weights...
2) a. What is the duration of a 5-year 8% annual coupon bond with a par...
2) a. What is the duration of a 5-year 8% annual coupon bond with a par value of $100 if the prevailing continuously compounded interest rate is 10%? b. What is the duration of a 5-year 12% annual coupon bond with a par value of $100 if the prevailing continuously compounded interest rate is 10%? What does this tell you about the relationship between coupon rates and duration? Comment. c. What is the duration of a 5-year 8% annual coupon...
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...
Compute the duration of a bond that pays $100 in year 1 and $5 in year...
Compute the duration of a bond that pays $100 in year 1 and $5 in year 2. The term-structure of interest rates is flat at 10%. It means r1 = r2 = 10%
What is the duration of a 5 year, 8% semi-annual coupon bond with a face value...
What is the duration of a 5 year, 8% semi-annual coupon bond with a face value of $1,000 that is currently selling at a YTM of 10%?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT