2. Consider a bond with a 7.5% annual coupon rate and a face value of $1,000. Calculate the bondprice and duration & show yourwork.Years to MaturityInterest rateBond PriceDuration46.6.9.What relationship do you observe between yield to maturity and the current market value? What isthe relationship between YTM and duration?

Computation of Price and Duration of bond : When years to maturity is 4 years and interest rate is…

2. Consider a bond with a 7.5% annual coupon rate and a face value of $1,000. Calculate the bond price and duration & show your work. Years to Maturity Interest rate Bond Price Duration 4 5 7. What relationship do you observe between yield to maturity and the current market value? What is the relationship between YTM and duration? 9.

2. Consider a bond with a 7.5% annual coupon rate and a face value of $1,000. Calculate the bond price and duration & show your work. Years to Maturity Interest rate Bond Price Duration 4 5 7. What relationship do you observe between yield to maturity and the current market value? What is the relationship between YTM and duration? 9.

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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5. Look at the following data: i l-year bond, ti" t+1 5 percent premium = 0 i't +2 i't +3 5.78 percent 5.88 percent 5.65 percent premium = 0.10 premium = 0.22 premium = 0.33 Based on the data, do the following: a. Compute the interest rate on a 2-year, 3-year, and 4-year bond using expectations theory and then draw the corresponding yield curve. b. Compute the interest rate on a 2-year, 3-ycar, and 4-year bond using preferred habitat theory and then draw the corresponding yield curve.
Assume the following: Bond A coupon = 6%, maturity = 5 years, yield to maturity = 6% Bond B coupon = 0%, maturity = 5 years, yield to maturity = 6% Bond C coupon = 6%, maturity = 5 years, yield to maturity = 6.5% Which of the following statements concerning duration is correct? Group of answer choices A. Duration of C<Duration of A=Duration of B. B. Duration of A>Duration of B>Duration of C. C. Duration of C < Duration of A < Duration of B. D. Duration of A< Duration of B<Duration of C.
Give typing answer with explanation and conclusion calculate the price of a bond, where F is the face value, c is the coupon rate, N is the number of years to maturity, and i is the interest rate. F=$10,000, c=7%, N- is infinity (bond never matures), i=6%
Please answer 6D.
12. Suppose that 1-year bonds currently offer a nominal yield to maturity of 4% (1,0 = 0.04), otherwise comparable 2-year bonds currently offer a yield to maturity of 4.5% (12,0 = 0.045), and 3 year bonds currently offer a yield to maturity of 4.8% (13,0 = 0.048). a. Draw the current yield curve. b. Based on the Expectations Theory of Term Structure, what yield to maturity do investors expect next year's 1 year bonds to earn (i.e. - what is it,1)? c. What do investors expect the yield to be on 1 year bonds in two years (11,2 = ?)? d. What do investors expect the yield to be on 2 year bonds next year (i2,1 =?)?
4. Given the expectations theory as the correct interpretation of the term structure, calculate and depict the yield curves for the provided series of one-year interest rates: 5%, 7%, 7%, 7%, 7% 5%, 4%, 4%, 4%, 4% a. b. How would your yield curves change if people preferred shorter-term bonds over longer- term bonds? Solution:
8. Risks of investing in bonds A security with higher risk will have a higher expected return. A bond's risk level is reflected in its yield, but understanding the different risks involved when investing in bonds is important. The curves on the following graph show the prices of two 10% annual coupon bonds at various interest rates. BOND VALUE ($) 2000 1750 1500 1250 1000 1-Year Bond 750 500 250 10-Year Bond 0 8 12 16 20 INTEREST RATE (%) Based on the graph, which of the following statements is true? O Both bonds have equal interest rate risk. O The 10-year bond has more interest rate risk. O The 1-year bond has more interest rate risk. O Neither bond has any interest rate risk.
6.
Q1. Consider the following par bond (ie coupon rate=yield): Year 3 5 7 10Yld 0.83% 1.22% 1.45% 1.54% Q1a. based on linear interpolation, what is the expected yield for a 10 year note ONE year later, assuming yield curve shape stays the same? Q1b. how much should the 10y note be priced 1 year later (as a 9 year note)?
Please answer both parts
Suppose the term structure of interest rate is flat. Consider the following four bonds: Bond Term to Maturity (year) Coupon rate YTM 1 5 10% 7% 2 3 7 7 10% O a. 2,3,4,1 O b. 2,1,4,3 O c. 1,2,3,4 O d. 4,3,2,1 3% 3% 7% 4 7 If the yield-to-maturity for all bonds changes by 1%, rank the bonds from the lowest percentage change in price to the largest percentage change in price based on duration approximation. 7% 5%
10) Suppose a coupon bond with 10 years remaining to maturity is reported to have a duration equal to 6.7 years. Assuming a current interest rate of 9% and an estimated decrease in the interest rate to 8.8%, calculate the estimated percentage increase in the bond's price. Hint: Duration= a) 3.3% b) 2.7% c) 1.2% d) 0.6% %AP Ai/(1+io)

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