A bond is a debt investment in which an investor loans money to an entity (typically corporate o governmental) which borrows the funds for a defined period of time at a variable or fixed interest rate. Suppose the bond issued by Logan Inc. has 5-year maturity with coupon of 12%. 4.1. If the yield to maturity is 10%, compute the bond value. Compute the modified duration of this bond. Use the modified duration to estimate the change in price if the interest rate decreases by 0.50%. 4.2. 4.3.

A bond is a debt investment in which an investor loans money to an entity (typically corporate o governmental) which borrows the funds for a defined period of time at a variable or fixed interest rate. Suppose the bond issued by Logan Inc. has 5-year maturity with coupon of 12%. 4.1. If the yield to maturity is 10%, compute the bond value. Compute the modified duration of this bond. Use the modified duration to estimate the change in price if the interest rate decreases by 0.50%. 4.2. 4.3.

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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A plot of the yields on bonds with different terms to maturity but the same risk, liquidity, and tax considerations is known as O A. a yield curve. B. a risk-structure curve. OC. a term-structure curve. 5- O D. an interest-rate curve. Suppose people expect the interest rate on one-year bonds for each of the next four years to be 3%, 6%, 5%, and 6%. If the expectations theory of the term structure of interest rates is correct, then the implied interest rate on bonds with a maturity of four years is nearest whole number). %. (Round your response to the 2- Refer to the figure on your right. Suppose the expected interest rates on one-year bonds for each of the next four years are 4%, 5%, 6%, and 7%, respectively. 1. 1.) Use the line drawing tool (once) to plot the yield curve generated. 3 Term to Maturity in Years 2.) Use the point drawing tool to locate the interest rates on the next four years. 5. 3- Interest Rate .....
How do investors calculate the net present value of a bond? If a bond's coupon payment is C, the interest rate is R, and the bond's coupon payment is made in each period for T years at which time the original principal, P, is repaid, then the bond's present discounted value (PDV) is C A. PDV = + (1 + R) (1 + R? (1 + R)T B. PDV = C(1 + R) + C(1 + R)2 - + C(1 + R)T + P(1 + R)T + C P OC. PDV = - + R R2 RT RT C D. PDV = P + C C (1 + R) (1+R)2 (1 + R)T C E. PDV = + + + + (1 + R) (1+ R)2 (1 + R)T (1 + R)T If the interest rate is 9 percent, what is the present value of a perpetuity that pays $50,000 each year, forever? The perpetuity's value is $ (Enter a numeric response rounded to two decimal places.)
Please see attached. Definitions: Coupon is the regular interest payment of a bond. Coupon rate is the interest rate for the bond coupons, expressed in annual percentage terms. Par value is the principal amount to be repaid at the maturity of the bond. Yield to maturity (YTM) is the return the bond holder receives on the bond if held to maturity. Maturity date is the expiration date of the bond on which the final interest payment is made as well as the principal repayment.
Please see attached. Definitions: Yield to maturity (YTM) is the return the bond holder receives on the bond if held to maturity. Treasury note is a U.S. government bond with a maturity of between two and ten years. Current yield is the annual bond coupon payment divided by the current price.
A bond for the Chelle Corporation has the following characteristics: Maturity - 12 years Coupon - 12% Yield to maturity - 11.50% Macaulay duration - 6.73 years Convexity - 59.30 Noncallable Assume bond pays interest semiannually. Use only the data provided in the table above (in the problem statement) for your calculations. a. Calculate the approximate price change for this bond using only its duration, assuming its yield to maturity increased by 100 basis points. Do not round intermediate calculations. Round your answer to two decimal places. Use a minus sign to enter negative value, if any. Percentage change in price: % When you are dealing with large yield changes to calculate more precise bond price change -Select- v on price change. b. Calculate the approximate price change for this bond, using only duration, if its yield to maturity declined by 200 basis points. Do not round intermediate calculations. Round your answer to two decimal places. Use a minus sign to enter negative…
The bond shown in the following table attached pays interest annually. a. Calculate the yield to maturity (YTM)for the bond. b. What relationship exists between the coupon interest rate and yield to maturity and the par value and market value of a bond? Explain.
If a company's bonds are selling at a discount, then Select one: a. The current interest rates are below the coupon rate b. The YTM is below the coupon interest rate c. The coupon interest rate is equal to the going interest rate d. The going rate of interest is above the coupon rate
Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?
Calculate the duration for a $1000, 4-year bond with a 4.5% annual coupon, currently selling at par. Use the duration to estimate the percentage change in the bond’s price for a decrease in the market interest rate to 3.5%. Use the bond price volatility equation to compute the bond price volatility. Compare the result with the estimated percentage change in the bond price.
The bond shown in the following table pays interest annually in the table attached. a. Calculate the yield to maturity (YTM) for the bond. b. What relationship exists between the coupon interest rate and yield to maturity and the par value and market value of a bond? Explain.
The return an investor earns on a bond over a period of time is known as the holding period return, defined as interest income plus or minus the change in the bond's price, all divided by the beginning bond price. a. What is the holding period return on a bond with a par value of $1,000 and a coupon rate of 7.5 percent if its price at the beginning of the year was $1,070 and its price at the end was $960? Assume interest is paid annually. Note: Negative value should be indicated by parenthesis. Round your answer to 2 decimal places. Holding period return %
Consider the following figure which shows the relationship between a three-year bond’s price (vertical axis) and the passage of time (measured in years - horizontal axis). Which of the following statements are consistent with the figure above? Group of answer choices A. This bond pays a coupon of $6. B. This pattern of prices is consistent with a bond whose yield to maturity is below the bond’s coupon rate. C. None of the other statements are correct. D. This bond pays coupons on a quarterly basis.

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