There are 2 bonds in the portfolio. Their current prices, interest rates, and durations are listed below. What is the change in the portfolio value due to a 1% drop in the interest rate? Bond A B Market price 800 1,200 Interest rate 7% 5% Duration (year) 6 4
Current portfolio value = MV A + MV B = 800+1200 = 2000
change in MV A = -modified duration*bond price*yield change
= -6*800*(-.01) =48
change in MV B = -modified duration*bond price*yield change
= -4*1200*(-.01) =48
Change in MV of portfolio = change in MV A+change in MV B = 48+48 = 96
There are 2 bonds in the portfolio. Their current prices, interest rates, and durations are listed...
a) A portfolio manager wants to estimate the interest rate risk of a bond using duration. The current price of the bond is 98. A valuation model found that if interest rates decline by 35 basis points, the price will increase to 101 and if interest rates increase by 35 basis points, the price will decline to 96. What is the duration of this bond? b) A portfolio manager purchased a bond portfolio with a market value of $75 million....
Now suppose market interest rates have risen over the course of the year. Specifically, the bonds in your portfolio experienced the following changes. Interest Rate a Year Ago (96) Interest Rate Now (96) 12 10 5.5 3. Calculate the approximate change in the price of each bond in your portfolio. (Hint) You may want to use the Equation (2) in the Web Appendix to Cho4. %A in P Portfolio Weight %) Suppose you are holding a portfolio of bonds that...
A suppose you have a three-security portfolio containing bonds A, B and C. The modified duration of the portfolio is 6.5. The market values of bonds A, B and Care $30, $15 and $40, respectively. The modified durations of bonds A and Bare 3.5 and 5.5, respectively. Which of the following amounts is closer to the modified duration of bond C7 A) 9.1. B) 4.6. C) 7.2. D) 7.5. 7. Given the 1-year annualized spot rate of 8.3 percent, and...
You've created a small bond portfolio by investing excess corporate cash in two annual-coupon bonds. The YTM for both bonds is 7.5% Bond Q is a 5-year, 4.5% coupon with a $1,000 face value; current price of $878.62 Bond R is a 6-year, 9.5% coupon with a $1,000 face value; current price of $1,093.88 What is the portfolio duration, that is, the duration of both instruments considered together, using the prices of the bonds. (Hint: This is not just the...
Suppose you are holding a portfolio of bonds that consists of the following four bonds. Portfolio Weight (%) 30 A B. Bond A $1,000 twenty-year 15% coupon bond with the interest rate of 12% A $1,000 eight-year discount bond with the interest rate of 7% $1,000 ten-year 12% coupon bond with the interest rate of 9% A $1,000 five-year 4% coupon bond with the interest rate of 5% C A D. (Note) Round your answers to 2 decimal places. 1....
For a given change in interest rates, market prices of bonds move in an inversely proportional manner with interest rate by a higher degree if Duration value is lower Duration value is higher If the amount of Equity is higher If the amount of Equity is lower
Price risk is the risk that: 1. the bonds in a dedicated portfolio will decrease in value in response to an increase in interest rates. 2. market prices will increase in value making bonds more expensive to purchase. 3. the principal amount will not be paid in full. 4. bond values will change in response to changes in inflation rates. 5. interest payments will be reinvested at a lower rate than anticipated.
For a given change in interest rates, market prices of bonds move in an inversely proportional manner with interest rate by a higher degree if Duration value is lower Duration value is higher If the amount of Equity is higher If the amount of Equity is lower What is of the following about Duration is correct? Duration is the weighted average time needed to receive the present value of the cash flows duration is the same as the time of maturity...
Suppose that the market interest rate is 4% and then drops overnight to 2%. Calculate the present values of the 1.25%, 3-year bond and of the 1.25%, 30-year bond both before and after this change in interest rates. Assume annual coupon payments. Confirm that your answers correspond with Figure 6.5. Use your financial calculator or a spreadsheet. You can find a box on bond pricing using Excel later in this chapter. FIGURE 6.5 Plot of bond prices as a function...
In the section headed “Bond Yield and Performance
At-A-Glance”, look at the interest rates listed under the
“Treasury Yield” tab and use the rate for the 10-year maturity
Treasury Bond. If this bond is a Discount Bond
with a face value of $1000, what price did the saver pay to
earn the interest rate (% yield) shown? (You can use
the “easy formula” for a discount bond, or you can use the
“correct” (present value) formula).
For Questions 3-5, please...