A ten-year 6% $1,000 bond having annual coupons and a redemption of $1,200 if the yield to maturity is 8% Calculate: 1. the Macaulay • duration, and 2. the Macaulay convexity.
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- 4) A 10 year bond with $50, 000 face value has semiannual coupon rate 4% and semiannual yield rate 2%. Fill out the following amortization table. Principle Outstanding t Payment Interest герaid Balance 1 2 3 12A bond: pay $75 each year in interest, and a $1,000 payment at maturity. The $1,000 is called? A) couponB) face valueC) discountD) yieldYTM
- Compute the Macaulay duration under the following conditions: a. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 8%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value. _________ years b. A bond with a four-year term to maturity, a 10% coupon (annual payments), and a market yield of 12%. Do not round intermediate calculations. Round your answer to two decimal places. Assume $1,000 par value. _________ years c. Compare your answers to Parts a and b, and discuss the implications of this for classical immunization. As a market yield increases, the Macaulay duration -(Select:declines/increases) . If the duration of the portfolio from Part a is equal to the desired investment horizon the portfolio from Part b is -(Select: no longer/still) perfectly immunized. Only typed answerA. Compute the current price of each of the following bonds (assume $1,000 par value): a. 6 year, 6% quarterly bond; 12% market yield b. 20 year zero coupon bond; 6% market yield c. 10 year, 10% semiannual bond; 8% market yieldYou purchase a zero coupon bond with 12 years to maturity and a yield to maturity of 4.93 percent. The bond has a par value of $1,000. What is the implicit interest for the first year? Assume semiannual compounding. a.$27.12 b.$26.89 c.$27.82 d.$24.34 e.$26.71
- ● Calculate and interpret the Macaulay and modified durations of a a) 3-year 10% semi-annual bond (Bond C) when the required yield is 10%, and a b) 3-year zero-coupon bond (Bond D) when the required yield is 10% 16Consider the following risk-free bonds available for sale in the bond market (assume annual +Coupons). Bond's maturity Ask Price (per $100 of Coupon rate (in %) face value 1-year bond 100.0040 0.125% 2-year bond 101.2100 2% 3-year bond 101.2140 1.625% Construct the term structure of interest rates for these three periods. b. Your company plans to issue three-year maturity coupon bonds. Based on its excellent credit rating, your company pays a low constant 3% risk premium over the relevant term-structure rates. You plan to issue bonds priced at par (i.e. price = face value). At what level should you plan to set the coupon on your bond to justify this price? c. Now assume that your company wishes to issue 3-year zero coupon bonds. At what price will these bonds sell?Subject:- Finance
- A two-year bond with par value $1,000 making annual coupon payments of $105 is priced at $1,000. Required: a. What is the yield to maturity of the bond? (Round your answer to 1 decimal place.) Yield to maturity % Interest Rate Realized YTM 8.5% % 10.5% % 12.5% % 4 21 b. What will be the realized compound yield to maturity if the one-year interest rate next year turns out to be (a) 8.5%, (b) 10.5%, (c) 12.5% ? (Do not round intermediate calculations. Round your answers to 2 decimal places.)You are given the following information on two traded bonds making semi-annual coupon payments. Bond Face Value Coupon Maturity Price A $1,000 3% 12 years $850.10 B $1,000 10% 12 years $970.00 Calculate Yield to Maturity (YTM) for bonds A and B.A 2-year maturity bond with face value of $1,000 makes annual coupon payments of $116 and is selling at face value. What will be rate of return on the bond if its yield to maturity at the end of the year is: Note: Do not round intermediate calculations. Enter your answers as a percent rounded to 2 decimal places. a. 6% b. 11.6% c. 13.6% Rate of Return % % %