Consider a bond paying a coupon rate of 11.00% per year semiannually when the market interest rate is only 4.4% per half-year. Thebond has six years until maturity.Required:a. Find the bond's price today and six months from now after the next coupon is paid.Note: Do not round intermediate calculations. Round your answers to 2 decimal places.Current pricePrice after six monthsb. What is the total rate of return on the bond?Note: Do not round intermediate calculations. Round your answer to 2 decimal places.Total rate of return% per six months

Given:Coupon rate: 11.00% per year, semiannually, so 5.50% per six monthsMarket interest rate: 4.40%…

Answered: Consider a bond paying a coupon rate of…

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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Calculate (the present value of) the amount of interest excess or interest deficiency of the following bond: Par value: $100. Coupon rate 6.8%. Yield-to-maturity 6.5 %. The term of the bond is 5 years. Assume the bond pays interest twice a year, and semi-annual compounding. Express the amount of interest excess as a positive number and the amount of interest deficiency as a negative number. Round your answer to 2 decimal places. For example, if your answer is 25.689, please write down 25.69.
You find a bond with 27 years until maturity that has a coupon rate of 9 percent and a yield to maturity of 10 percent. What is the Macaulay duration? The modified duration? Note: Do not round intermediate calculations. Round your answers to 3 decimal places.
A 5.75 percent coupon bond with 10 years left to maturity is priced to offer a 6.5 percent yield to maturity. You believe that in one year, the yield to maturity will be 5.8 percent. Assuming semiannual interest payments, what is the change in price the bond will experience in dollars? Note: Do not round intermediate calculations. Round your final answer to 2 decimal places.
Suppose you buy a bond with a coupon of 8.2 percent today for $1,100. The bond has 7 years to maturity. Assume interest payments are reinvested at the original YTM. a. What rate of return do you expect to earn on your investment? Note: Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places. Rate of return % b. Two years from now, the YTM on your bond has increased by 2 percent, and you decide to sell. What price will your bond sell for? Note: Do not round intermediate calculations. Round your answer to 2 decimal places. Price
Consider two bonds, a 3-year bond paying annual coupons at 5% and a 10-year bond also paying annual coupons at 5%. Coupons are paid annually (not semiannually). Both are currently trading at par (i.e., price = face value). A. What must be the current discount rate for these bonds? B. Suppose that the discount rate for these bonds suddenly rise to 9%. What is the new price of the 3-year bond? What is the new price of the 10-year bond? C. Compare the price changes (i.e., the current price of $1,000 vs. the new bond price from Part B) of two bonds. Determine whether long-term or short-term bonds are more sensitive to interest rate fluctuation.
What is the price of a bond with the following information? It is 1.5 years until expiration. The coupon rate is 7 percent and coupon payments are made once per year. The market rate of return is 5.9 percent. The bond has a face value of 2000 SEK. Tips Draw a time axis so that you do not make any mistakes with the discounting. Don't look at the cash flows as an annuity, but as two separate cash flows. There is always a coupon payment when the bond matures, how long is it then until the next coupon payment? (Answers are rounded to integers) a) 265 b) 2100 c) 1971 d) 1990 e) 2216
Suppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. Answer:
Assume that a bond will make payments every six months as shown on the following timeline (using six- month periods): Period 0 Cash Flows $20.87 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? 2 $20.87 *** a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) 39 $20.87 40 $20.87 + $1,000
Compute the price of a 6.1 percent coupon bond with 15 years left to maturity and a market interest rate of 9.0 percent. (Assume interest payments are semiannual.) (Do not round intermediate calculations. Round your final answer to 2 decimal places.) Is this a discount or premium bond?
A newly issued bond pays its coupons once a year. Its coupon rate is 4.7%, its maturity is 15 years, and its yield to maturity is 7.7%. a. Find the holding-period return for a one-year investment period if the bond is selling at a yield to maturity of 6.7% by the end of the year. (Do not round intermediate calculations. Round your answer to 2 decimal places.) Holding-period return % b. If you sell the bond after one year when its yield is 6.7%, what taxes will you owe if the tax rate on interest income is 40% and the tax rate on capital gains income is 30%? The bond is subject to original-issue discount (OID) tax treatment. (Do not round intermediate calculations. Round your answers to 2 decimal places.) Tax on interest income $ Tax on capital gain $ Total taxes $ c. What is the after-tax holding-period return on the bond? (Do not round intermediate calculations. Round your answer to 2 decimal places.)…
Suppose that the term structure of interest rates is: Interest rates are annual interest rates that are semi-annually compounded. 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 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 Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?
Consider a bond with a duration of 8.8 years priced at $1,100. If market interest rates were to increase by 0.25%, what would be the predicted new bond price according to duration?

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