Question

In: Finance

Portfolio Alpha contains a 5-year zero-coupon bond with a face value of $5,000 and a 9-year...

Portfolio Alpha contains a 5-year zero-coupon bond with a face value of $5,000 and a 9-year zero-coupon bond with a face value of $6,050. Portfolio Beta is composed of only a 7-year zero-coupon bond with a face value of $10,000. The current yield on all three bonds is 5% per annum. Show that both portfolios have the same duration. What percentage changes in the two portfolio values would result from all three yields jumping to 7.5% per annum?

Solutions

Expert Solution

FIRST MAGE SHOWS THAT BOTH HAVE SAME PORTFOLIO DURATION OF 7 YEARS

SECOND IMAGE SHOWS % CHANGE IN PRICE


Related Solutions

9. Consider a bullet portfolio comprising a 20 year zero coupon bond with a face value...
9. Consider a bullet portfolio comprising a 20 year zero coupon bond with a face value of 100,000 and a barbell portfolio comprising a 10 year zero coupon bond with a face value of 25,174 and a 30 year zero coupon bond with a face value of 91,898. The 10-year rate is 6.0% p.a. nominal, the 20-year rate is 6.5% p.a. nominal and the 30-year rate is 6.4% p.a. nominal. These portfolios have the same market value today. Assuming semi-annual...
Question 5 Portfolio A consists of a one-year zero-coupon bond with a face value of $2,000...
Question 5 Portfolio A consists of a one-year zero-coupon bond with a face value of $2,000 and a 10- year zero-coupon bond with a face value of $6,000. Portfolio B consists of a 5.95-year zero-coupon bond with a face value of $5,000. The current yield on all bonds is 10% per annum (continuously compounded). 5.1 Show that both portfolios have the same duration. 5.2 Show that the percentage changes in the values of the two portfolios for a 0.1% per...
Portfolio A consists of a 2-year zero-coupon bond with a face value of $8,000 and a...
Portfolio A consists of a 2-year zero-coupon bond with a face value of $8,000 and a 10-year zero-coupon bond with a face value of $2,000. The current yield on all bonds is 11.75% per annum. (Answer with two decimal digits accuracy) The duration of portfolio A is
What is the quote of a 5 year, zero coupon bond with $1000 face value if...
What is the quote of a 5 year, zero coupon bond with $1000 face value if the yield to maturity is 2.6% (semiannual compounding)? Round to 3 decimal places
Portfolio A consists of $5,000 investment in a 1-year zero-coupon bond and $20,000 investment in a...
Portfolio A consists of $5,000 investment in a 1-year zero-coupon bond and $20,000 investment in a 20-year zero-coupon bond. Portfolio B consists of a 10-year zero-coupon bond with a face value of $17,000. The current yield on all bonds is 4% per annum (continuously compounded). Compute the actual percentage changes in the values of the two portfolios for a 20-basis point increase in yields. Compute the actual percentage changes in the values of the two portfolios for a 200-basis point...
If you purchase a 5-year, zero-coupon bond for $800 (with face value of $1,000), a) What...
If you purchase a 5-year, zero-coupon bond for $800 (with face value of $1,000), a) What is the yield of the bond? b) How much could it be sold for 3 years later if the interest rates have remained stable? c) How much would it be sold for 3 years later if the interest rates of year 4 and year 5 change to 5%?
If you purchase a 5-year, zero-coupon bond for $600 (with face value of $1,000), a) What...
If you purchase a 5-year, zero-coupon bond for $600 (with face value of $1,000), a) What is the yield of the bond? b) How much could it be sold for 3 years later if the interest rates have remained stable? c) How much would it be sold for 3 years later if the interest rates of year 4 and year 5 change to 5%?
A zero-coupon bond with $1000 face value has 10-year to maturity. If this bond is currently...
A zero-coupon bond with $1000 face value has 10-year to maturity. If this bond is currently trading at $463.20. What is this bond’s YTM (i.e., required rate of return)? What is the coupon rate for a bond with three years until maturity, a price of $953.46, and a yield to maturity of 6%? Assume the bond’s face value is $1,000. Kodak has a bond with 10 year until maturity, a coupon rate of 10%, and selling for $1,200. This bond...
You own a fixed income portfolio with a single 10-period zero coupon bond with face value...
You own a fixed income portfolio with a single 10-period zero coupon bond with face value of $100 and a current yield of 6% per period. During the past 100 trading days, there were 50 days when the yield on this bond did not change; 15 days when the yield increased by 1 basis point, 15 days when the yield decreased by 1 basis point, 9 days when the yield increased by 5 basis points, 9 days when the yield...
You own a fixed income portfolio with a single 10-period zero-coupon bond with a face value...
You own a fixed income portfolio with a single 10-period zero-coupon bond with a face value of $100 million and a current yield of 6% per period. During the past 100 trading days there were 50 days when the yield on these bonds did not change, 15 days when the yield increased 1 basis point, 15 days when the yield decreased by 1 basis point, 9 days when the yield increased by 5 basis points, 9 days when the yield...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT