1. Suppose the interest rate decreases to 9% as an annual percentage rate. and durations of the two bonds in the table below? 8% coupon bond (1) Period 1 2 3 4 (2) Time until Payment (years) 0.5 1.0 1.5 2.0 (3) Cash Flow 40 40 40 1,040 Column Sums (4) PV of CF (Discount rate= 5%) 38.095 36.281 34.554 855.611 964.541 What will happen to the prices (5) Weight 0.0395 0.0376 0.0358 0.8871 1.0000 (6) Column (2) X Column (5) 0.0197 0.0376 0.0537 1.7741 1.8852

1. Suppose the interest rate decreases to 9% as an annual percentage rate. and durations of the two bonds in the table below? 8% coupon bond (1) Period 1 2 3 4 (2) Time until Payment (years) 0.5 1.0 1.5 2.0 (3) Cash Flow 40 40 40 1,040 Column Sums (4) PV of CF (Discount rate= 5%) 38.095 36.281 34.554 855.611 964.541 What will happen to the prices (5) Weight 0.0395 0.0376 0.0358 0.8871 1.0000 (6) Column (2) X Column (5) 0.0197 0.0376 0.0537 1.7741 1.8852

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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Consider information on the following bonds (with face value 100): Bond Maturity (years) Coupon rate Yield-to-maturity А 1 0% 5.0% В 2 5% 5.5% C 3 6% 6.0% Coupons are paid annually. What is the three-year spot interest rate?
K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): 0 2 5 Period $19.53 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? Cash Flows View an example Get more help. ★ a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) A 6 1 MacBook Pro & 7 $19.53 * 8 9 C 59 $19.53 60 $19.53+$1,000 Clear all BUB 0 {
Calculate the value of a 2-year 3.5% annual pay bond given the interest rate below. What is the implied 3-year spot rate? Time Period Forward Rate z1 0.80% 1f1 1.12% 1f2 3.94% 1f3 3.28% 1f4 3.14%
B. Complete the information below using Bonds. Redemption Value (F) Conversion per year (m) Bimonthly Coupon Payments (k) Bond Rate (r) 11. 18% P7.50 P680 Quarterly 11% 12. P900 Quarterly 12.8% 13. P1,300 Bimonthly 12% 14. 15. Annually 15% P105.00
Suppose that the term structure of interest rates is: t 0.5 1 1.5 2 r 1% 1.2% 1.4% 1.8% Interest rates are annual interest rates that are semi-annually compounded. 1. Calculate the price and modified duration of a 1-year bond with a 6% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 2. Calculate the price and modified duration of a 2-year bond with a 10% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 3. Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?
Consider the following bonds: Bond A B CD с Coupon Rate (annual payments) 0.0% 0.0% 4.3% 7.7% The percentage change in the price of bond A is |___%. (Round to one decimal place.) What is the percentage change in the price of each bond if its yield to maturity falls from 6.9% to 5.9%? The percentage change in the price of bond B is %. (Round to one decimal place.) Maturity (years) 15 The percentage change in the price of bond C is %. (Round to one decimal place.) The percentage change in the price of bond D is %. 21500
c) Suppose you observe the following three bonds. Assume that all bonds are denominated at $100 face value per contract and that they pay their coupons annually. Price Coupon Maturity (years) Bond A 111.42 15 3 Bond B 108.33 15 Bond C 116.61 15 1 i) Compute the spot rates r0,1, r0,2 and r0,3. ii) Compute the forward rates r1,2 and r2,3.
A6 Calculate the interest rate sensitivity (change in price with respect to the interest rate) of a 1 year and a 5 year bond paying coupons of 4% when the current interest rate is 2%.
What are the Modified Duration and Macaulay Duration of the following bond? Coupon Rate = 8% (Semi-annually paid) YTM = 9% Maturity = 2 Years Par Value = 1,000 (Hint: this question is similar to Example 1 and Example 2 on slides) ModD = 1.886 and MacD = 1.805 ModD = 1.784 and MacD = 1.954 ModD = 1.954 and MacD = 1.784 ModD = 1.805 and MacD = 1.886
1. Bond prices and yields (S3.1) A 10-year bond is issued with a face value of $1,000, paying interest of $60 a year. If interest rates increase shortly after the bond is issued, what happens to the bond's a. Coupon rate? b. Price? c. Yield to maturity?
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) Price 1 $ 998.78 2 880.89 3 815.92 4 752.40 5 685.70 a. Calculate the forward rate of interest for each year. (Round your answers to 2 decimal places.) b. How could you construct a 1-year forward loan beginning in year 3? (Round your Rate of synthetic loan answer to 2 decimal places.) c. How could you construct a 1-year forward loan beginning in year 4? (Round your answers to 2 decimal places.)
Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?

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