Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years). Price (per $1,000 face value) 1 2 3 $974.35 $940.69 $909.35 Suppose you observe that a three-year, default-free security with an annual coupon rate of 10% and a face value of $1,000 has a price today of $1,189.52. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not? Is there an arbitrage opportunity? (Select the best choice below.) O A. Yes O B. No O C. Not enough information.

Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years). Price (per $1,000 face value) 1 2 3 $974.35 $940.69 $909.35 Suppose you observe that a three-year, default-free security with an annual coupon rate of 10% and a face value of $1,000 has a price today of $1,189.52. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not? Is there an arbitrage opportunity? (Select the best choice below.) O A. Yes O B. No O C. Not enough information.

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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Prices of zero-coupon, default-free securities with face values of $1,000 are summarized in the following table: Maturity (years) Price (per $1,000 face value) 1 2 3 $970.76 $939.38 $904.87 Suppose you observe that a three-year, default-free security with an annual coupon rate of 10% and a face value of $1,000 has a price today of $1,181.95. Is there an arbitrage opportunity? If so, show specifically how you would take advantage of this opportunity. If not, why not? Is there an arbitrage opportunity? (Select the best choice below.) O A. No О В. Үes OC. Not enough information. How would you take advantage of the arbitrage opportunity? (Select from the drop-down menus.) Buy V coupon bond(s), sell short V one-year Zero(s), sell short two-year Zero(s), and sell short three-year Zero(s). This would result in a net profit of $ (Round to the nearest cent.)
Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM 1 6.30% 2 6.90% 3 7.30% 4 7.70% 5 8.00% What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 8%? What is the yield to maturity for this bond? What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 8%? The price is $1894.57. (Round to the nearest cent.)
Assume the zero-coupon yields on default-free securities are as summarized in the following table: in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 3 4 5 Zero-coupon YTM 6.00% 6.40% 6.70% 7.10% 7.40% What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000? (Click on the following icon
Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 3 4 5 Zero-coupon YTM 4.30% 4.70% 5.10% 5.30% 5.50% What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000 Question content area bottom Part 1 The price is ___$enter your response here.(Round to the nearest cent.)
Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM What is the price of a five-year, zero-coupon, default-free security with a face value of $1,000? The price is $ (Round to the nearest cent.) 1 6.10% 2 6.50% (...) 3 6.70% 4 7.10% 5 7.30%
The promised cash flows of three securities are listed below. If the cash flows are risk-free, and the risk-free interest rate is 5.0%, determine the no-arbitrage price of each security before the first cash flow is paid. Security Cash Flow Today ($) Cash Flow in One Year ($) A 800 800 B 0 1600 C 1,600 0 The no-arbitrage price of security A is how much? ? (Round to the nearest cent.) The no-arbitrage price of security B is how much? ? (Round to the nearest cent.) The no-arbitrage price of security C is how much? ? (Round to the nearest cent.)
Assume the zero-coupon yields on default-free securities are as summarized in the following table: Maturity 1 year 2 years 3 years 4 years 5 years Zero-Coupon Yields 7.00% 7.60% 7.90% 8.30% 8.70% What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 7.00%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 7.00%? A. One year B. Two years C. Three years D. Four years E. Five years
Suppose that the current three-year rate (three-year spot rate) and expected one- year T-bill rates over the following years are as follows: 1 R3 = 12% E(271) = 8% E(371) = 10% Using the unbiased expectations theory, calculate the current rates for one- and two-year maturity Treasury securities, i.e., 1 R₁ and 1 R2. Convert your answers to percentages. 1R1 = 17.39%; 1R2 = 12.56% O 1R1 = 20.73; 1R2 = 11.49% O 1R1 = 18.26%; 1R2 = 13.01% O 1R1 = 19.52; 1R2 = 14.74%
Assume the zero-coupon yields on default-free securities are as summarized in the following table: 3 years 4 years 5 years Maturity 1 year 2 years 7.00% 7.30% 6.20% 6.50% 6.70% Zero-Coupon Yields What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? Why? What is the maturity of a default-free security with annual coupon payments and a yield to maturity of 6.20%? (Select the best choice below.) O A. One year В. Тwo years C. Three years D. Four years E. Five years
Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM 1 5.00% 2 5.30% 3 5.50% 4 5 5.70% 5.80% Consider a five-year, default-free bond with annual coupons of 6% and a face value of $1,000. a. Without doing any calculations, determine whether this bond is trading at a premium or at a discount. Explain. b. What is the yield to maturity on this bond? c. If the yield to maturity on this bond increased to 6.20%, what would the new price be? a. Without doing any calculations, determine whether this bond is trading at a premium or at a discount. Explain. The bond is trading at because its yield to maturity is a weighted average of the yields of the zero-coupon bonds. (Select from the drop-down menu.)
You observe the following prices for Treasury securities (per $100 of par value):Maturity Coupon Rate Price6 months 0 $99.011 year 3.5% $100.991.5 years 3.0% $100.30The 18-month theoretical spot rate implied by these price is A: 2.3% B: 2.5% C: 2.8% D: 3.1%
Assume the zero-coupon yields on default-free securities are as summarized in the following table: Maturity Zero-Coupon Yields 1 year 2 years 3 years 4 years 5 years 5.0% 5.4% 5.7% 5.9% 6.3% What is the price today of a two-year, default-free security with a face value of $1,000 and an annual coupon rate of 8%? Does this bond trade at a discount, at par, or at a premium? Note: Assume annual compounding. What is the price today of a two-year, default-free security with a face value of $1,000 and an annual coupon rate of 8%? The price is $ (Round to the nearest cent.)

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