Essentials Of Investments
11th Edition
ISBN: 9781260013924
Author: Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher: Mcgraw-hill Education,
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Using duration and convexity approximation, compute the percentage price change on a 10-year fixed coupon bond, if the interest rate increases by 1%. The modified duration of the bond is 6 years, and convexity is 200 year2.
Group of answer choices
-6%
-5%
7%
-7%
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- es Find the duration of a 6.6% coupon bond making semiannually coupon payments if it has three years until maturity and has a yield to maturity of 6.6%. What is the duration if the yield to maturity is 9.0%? Note: The face value of the bond is $1,000. Do not round intermediate calculations. Round your answers to 2 decimal places. 6.6% YTM 9% YTM Duration years yearsarrow_forwardConsider a bond that is currently priced at $1100. If the face value of the bond is $1000, coupon payments are made semiannually, the bond matures in 5 years, and the YTM is 3%, what is the coupon rate? Group of answer choices 5.17% 2.58% 3.00% $25.84arrow_forwardConceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated. ∑ t = 1 Y r s I N T ( 1 + r d ) + M ( 1 + r d ) = ∑ t = 1 1 5 $ 1 0 0 ( 1 + 0 . 1 0 0 ) + $ 1 0 0 0 ( 1 + 0 . 1 0 0 ) = 1 , 0 0 0 ∑ t=1 Yrs (1+r d ) t INT + (1+r d ) Yrs M =∑ t=1 15 (1+0.100) t $100 + (1+0.100) 15 $1000 =1,000 ∑t=1Yrs(1+rd)tINT+(1+rd)YrsM=∑t=115(1+0.000)t$100+(1+0.000)15$1000=2,500. 1. What is the value of a 15-year 10% $1,000 coupon bond when the market interest rate is 15%? $421$708$1,000$1,5192. What is the value of a 12-year 10% $1,000…arrow_forward
- Using the expectations hypothesis theory for the term structure of interest rates, determine the expected return for securities with maturities of two, three, and four years based on the following data. (Input your answers as a percent rounded to 2 decimal places.) 1-year T-bill at beginning of year 1 1-year T-bill at beginning of year 2 1-year T-bill at beginning of year 3 1-year T-bill at beginning of year 4 2-year security 3-year security 4-year security Expected Return % % % Interest Rate 61 98 7% 108arrow_forwardFrom the table, calculate the 6-month, 1-year and 1.5-years spot rates using bootstrapping process given that the face value of the bond is K100. Years to maturity 0.5 1 1.5 Bond price K100 K100 K100 Coupon rate 3% 4% 5%arrow_forward9. An investor purchases 5 zero-coupon bonds, with terms of 1, 2, 3, 4, and 5 years. Each bond has a maturity value of 1,000, and is priced based on the following yield curve: Term (yrs.) Spot rate 2.4% 1 3.0% 3.4% 4 3.7% 5 3.9% What is the modified duration of the investor's portfolio? 2 3arrow_forward
- Consider a 30-year Bond with $1,000 face value, which offers 10% annual coupon, paid once a year.Assume that interest rates, hence YTM (Yield to Maturity) changed from 6% to 7%. What is the duration of the Bond in years? Enter your answer in the following format: 12.34Hint1: Answer is between 10.24 and 12.77Hint2: Duration = (new bond price - old bond price) * (-100) / old bond pricearrow_forward1arrow_forwardQuestion A .Consider a 2-year, risk-free bond with a coupon rate of 6% (annual coupons) and a face value of $1,000. If the yield on the above bond is 6%: a. What is the Macaulay duration of this bond? b. If the yield increases to 7% immediately, what does the duration approximation predict will be the percentage change in the bond price? c. If the yield decreases to 5% instead, what is the approximate percentage change in the bond price implied by the bond’s duration? d. After receiving the first coupon payment in year 1, the yield increases to 7% and you decide to sell the bond. What is your annualized HPR? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this linearrow_forward
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