Consider a risk-free zero-coupon bond with face value $1000, 20 years to maturity. If the yield to maturity (YTM) is 6%, the price at which this bond will trade is closest to: A. $167.44 B. $312 C. $214.55 D. $174
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Consider a risk-free zero-coupon bond with face value $1000, 20 years to maturity. If the yield to maturity (YTM) is 6%, the price at which this bond will trade is closest to:
A. $167.44
B. $312
C. $214.55
D. $174
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Solved in 3 steps
- Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today? Please solve both partsSuppose the current zero-coupon yield curve for risk-free bonds is as follows: Maturity (years) Zero-Coupon YTM 1 3 4 3.25% 3.50% 3.90% 4.25% 4.40% Consider a five-year, default-free bond with an annual coupon rate of 5% and a face value of $1000. What is the YTM of this bond ?Consider a zero-coupon bond with a $1,000 face value and 10 years to maturity. The price this bond will trade if the Yield To Maturity is 7.1% is closest to: A) $604.35 B) $805.8 C) $705.07 D) $503.62
- Suppose the current, zero-coupon, yield curve for risk-free bonds is as follows: Maturity (years) Yield to Maturity 1 4.33% 2 4.64% 3 4.92% 4 5.09% 5 5.30% a. What is the price per $100 face value of a 3-year, zero-coupon risk-free bond? b. What the price per $100 face value of a 4-year, zero-coupon, risk-free bond? c. What is the risk-free interest rate for a 1-year maturity? Note: Assume annual compounding. a. What is the price per $100 face value of a 3-year, zero-coupon risk-free bond? The price is $ (Round to the nearest cent.) b. What is the price per $100 face value of a 4-year, zero-coupon, risk-free bond? The price is $ (Round to the nearest cent.) c. What is the risk-free interest rate for a 1-year maturity? The risk-free rate is %. (Round to two decimal places.)Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $90.44, while a 2-year zero sells at $82.64. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year. Required: a. What is the yield to maturity of the 2-year zero? b. What is the yield to maturity of the 2-year coupon bond? c. What is the forward rate for the second year? d. If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis? Complete this question by entering your answers in the tabs below. Required A Required B Required C Required D Required E Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?…← Suppose a ten-year, $1,000 bond with an 8.6% coupon rate and semiannual coupons is trading for $1,034.51. 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 9.7% 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.)
- Suppose the current zero-coupon yield curve for risk-free bonds is as follows:Maturity (years) 1 2 3 4 5YTM 4.14% 4.55% 4.78% 4.99% 5.37% What is the price per $100 face value of a three-year, zero-coupon, risk-free bond? What is the price per $100 face value of a four-year, zero-coupon, risk-free bond? What is the risk-free interest rate for a four-year maturity?You have decided to invest in Bond x, an n-year bond with semi-annual coupons and the following characteristics: Par value is 1000 The ratio of the semi - annual coupon rate to the desired semi- annual yield rate, is 1.03125. The present value of the redemption value is 381.5. Given v=0.5889, what is the price of bond x ? A) 1,055 B) 1,072 C ) 1,073 D) 1,069 E) 1,044Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $94.34, while a 2-year zero sells at $84.99. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 12% per year.a. What is the yield to maturity of the 2-year zero?b. What is the yield to maturity of the 2-year coupon bond?c. What is the forward rate for the second year?d. According to the expectations hypothesis, what are (i) the expected price of the coupon bond at the end of the first year and (ii) the expected holding-period return on the coupon bond over the first year?e. Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?
- Consider a bond with a face value of $1,000 that sells for an initial price of $700. It will pay no coupons for the first nine years and will then pay 11% coupons for the remaining 29 years. Choose an equation showing the relationship between the price of the bond, the coupon (in dollars), and the yield to maturity. O A. B. O C. O D. 700 = 700 = 700 = 700 = 110 110 9 (1+i)⁹ (1+i)⁹+1 + 110 + i) ⁹ + 1 (1 + 1,000 (1+i) 29-9 1,000 (1 + i) 9 +29 + +...+ 110 (1+i) 9+2 + 110 (1 + i)9+29-1 110 + (1 + i) ⁹ + 110 (1+i)9 +29 9+29-1 + 110 (1 + i)9 +29 + 1,000 (1+i) 9+29Suppose a bond with a 12% coupon rate and semiannual coupons, has a face value of $1,000, 10 years to maturity and is selling for $1,197.93. Calculate: A. Current yield, and B. YTM if the price of the bond in one year is $2,014.83 STEPS MAY INCLUDE USE OF FINANCIAL CALCULATOR (BA 2 PLUS)Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today?