A bond has $94000 face value and the coupon rate of the bond is 3.4 % (APR), The VTM of the bond is 6.8 %. What is the fair price of the bond assuming that the maturity of the bond is 8 years and the bond pays coupon in every 6 months?fair price of bond = fair price = 19472.34 +55055.31 = 74,527.65 ve and the coupon rate of the bond is 3.4% (ARR ). %. What is the fair price of the bond assuming is 8 years and the bond pays coupon in ever STEPS: (1) semi annual coupon payment → Annual 12, Annual = 3.4% x 94000 = 3196 319612= 1,598 # at seni annual periods → y yrs x 2 = 16 periods (3) PV at coupon payments → = 3.4% per semiann period PV of annuity 6.8% 2 = 1,598 x [1-(1+0.034) 0.034 = 19472.34 (4) pv of face vawe = 94, 000 (1+0.034) ¹0 16 = 55055.31

A bond has $94000 face value and the coupon rate of the bond is 3.4 % (APR), The VTM of the bond is 6.8 %. What is the fair price of the bond assuming that the maturity of the bond is 8 years and the bond pays coupon in every 6 months?fair price of bond = fair price = 19472.34 +55055.31 = 74,527.65 ve and the coupon rate of the bond is 3.4% (ARR ). %. What is the fair price of the bond assuming is 8 years and the bond pays coupon in ever STEPS: (1) semi annual coupon payment → Annual 12, Annual = 3.4% x 94000 = 3196 319612= 1,598 # at seni annual periods → y yrs x 2 = 16 periods (3) PV at coupon payments → = 3.4% per semiann period PV of annuity 6.8% 2 = 1,598 x [1-(1+0.034) 0.034 = 19472.34 (4) pv of face vawe = 94, 000 (1+0.034) ¹0 16 = 55055.31

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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There is a bond that has a quoted price of 940.023 and a par value of $1,000. The coupon rate is 7 percent and the bond matures in 13 years. The bond makes semiannual coupon payments a) Will the YTM be greater or less than the coupon rate? Explain your reason why b) Calculate the 7TM for the bond. Please be sure to show your calculations (if using a financial calculator, provide the input values used)
Bond X is a premium bond making semiannual payments. The bond has a coupon rate of 11 percent, a YTM of 9 percent, and 15 years to maturity. Bond Y is a discount bond making semiannual payments, This bond has a coupon rate of 9 percent, a YTM of 11 percent, and also has 15 years to maturity. Both bonds have a par value of $1,000 a. What is the price of each bond today? b. If interest rates remain unchanged, what do you expect the price of these bonds to be 1 year from now? In 6 years? In 10 years? In 14 years? In 15 years? Note: For all requirements, do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. Bond X Bond Y a. Price today b. Price in 1 year Price In 6 years Price in 10 years Price in 14 years Price in 15 years
Bond P is a premium bond with a 10 percent coupon. Bond D is a 6 percent coupon bond currently selling at a discount. Both bonds make annual payments, have a YTM of 8 percent, and have five years to maturity. (Assume par value of K1,000)(i) What is the current yield for Bond P and Bond D?(ii) If interest rates remain unchanged, what is the expected capital gains yield over the next year for Bond P? For Bond D?(iii)Explain your answers and the interrelationship among the various types of yields.
A bond sells for $894.17 and has a coupon rate of 6.20 percent. If the bond has 13 years until maturity, what is the yield to maturity of the bond? Assume semiannual compounding. (Do not round intermediate calculations. Enter your answer as a percent rounded to 2 decimal places.)
A bond pays annual interest. Its coupon rate is 7.0%. Its value at maturity is $1,000. It matures in 4 years. Its yield to maturity is currently 4.0%. The modified duration of this bond is ______ years. 3.65 4.00 3.51 3.30
Suppose a ten-year, $1,000 bond with an 8.4% coupon rate and semiannual coupons is trading for $1,035.65. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.9% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is%. (Round to two decimal places.)
A bond that matures in 1212 years has a $1 comma 0001,000 par value. The annual coupon interest rate is 1414 percent and the market's required yield to maturity on a comparable-risk bond is 1515 percent. What would be the value of this bond if it paid interest annually? What would be the value of this bond if it paid interest semiannually?
Bond X is a premium bond making semiannual payments. The bond has a coupon rate of 9 percent, a YTM of 7 percent, and 15 years to maturity. Bond Y is a discount bond making semiannual payments. This bond has a coupon rate of 7 percent, a YTM of 9 percent, and also has 15 years to maturity. Both bonds have a par value of $1,000. a. What is the price of each bond today? b. If interest rates remain unchanged, what do you expect the price of these bonds to be 1 year from now? In 6 years? In 10 years? In 14 years? In 15 years? Note: For all requirements, do not round intermediate calculations and round your answers to 2 decimal places, e.g., 32.16. a. Price today b. Price in 1 year Price in 6 years Price in 10 years Price in 14 years Price in 15 years Bond X Bond Y
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Bond X is a premium bond making semiannual payments. The bond pays a coupon rate of 7 percent, has a YTM of 5 percent, and has 13 years to maturity. Bond Y is a discount bond making semiannual payments. This bond pays a coupon rate of 5 percent, has a YTM of 7 percent, and also has 13 years to maturity. The bonds have a $1,000 par value. What is the price of each bond today? If interest rates remain unchanged, what do you expect the price of these bonds to be one year from now? In four years? In nine years? In 11 years? In 13 years?
Suppose a ten-year, $1,000 bond with an 8.1% coupon rate and semiannual coupons is trading for $1,034.08. a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? b. If the bond's yield to maturity changes to 9.9% APR, what will be the bond's price? a. What is the bond's yield to maturity (expressed as an APR with semiannual compounding)? The bond's yield to maturity is%. (Round to two decimal places.)
There is a bond that has a quoted price of 105.039 and a par value of $2,000. The coupon rate is 6.87 percent and the bond matures in 25 years. If the bond makes semiannual coupon payments, what is the YTM of the bond? 4.85 % 3.14% 3.23% 5.81 % 6.46%

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