In the following problems, assume that the coupon rate is compounded semi-annually, and bonds are redeemable at par on maturity, unless otherwise stated. Calculate the missing values for Problems 1 and 2. 1. Face Value $1000,00 b $10,000.00 ? Redemption Coupon Value Rate P P 7.10% 4.65% $20,000.00 2.30% Yield Rate 7.10% 3.80% 3.30% Purchase Date April 01, 2018 July 06, 2017 P Redemption Date October 01, 2018 October 20, 2029 Maturity ? 2.5 years 10 years Sold at Par/ at a Discount/ at a Premium ? ? ?
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- Suppose you are given the following information about the default-free, coupon-paying yield curve: Maturity (years) Coupon rate (annual payment) YTM 1 0.00% 2.587% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. b. What is the zero-coupon yield curve for years 1 through 4? Note: Assume annual compounding. 2 11.00% 4.008% a. Use arbitrage to determine the yield to maturity of a two-year zero-coupon bond. The yield to maturity of a two-year, zero-coupon bond is %. (Round to two decimal places.) b. What is the zero-coupon yield curve for years 1 through 4? The yield to maturity for the three-year and four-year zero-coupon bond is found in the same manner as the two-year zero-coupon bond. The yield to maturity on the three-year, zero-coupon bond is %. (Round to two decimal places.) The yield to maturity on the four-year, zero-coupon bond is %. (Round to two decimal places.) Which graph best depicts the yield curve of the zero-coupon bonds? (Select the…Suppose 1-year Treasury bonds yield 4.40% while 2-year T-bonds yield 5.70%. Assuming the pure expectations theory is correct, and thus the maturity risk premium for T-bonds is zero, what is the yield on a 1-year T-bond expected to be one year from now? Do not round your intermediate calculations. Round your final answer to 2 decimal places. a. 7.02% b. 5.66% c. 5.05% Od. 4.92% e. 7.32%Applying Time Value of Money Concepts Complete the missing information in the table below. Assume that all bonds pay interest semiannually. Do not use negative signs with answer. Round percentages to one decimal place (ex. 0.0345 = 3.5%). Round all other values to the nearest whole number. Annual Yield Years to Coupon Issue Maturity Rate Face value Proceeds Firm 1 8.00% 15 7.00% $500,000 $ Firm 2 3.00% 10 0.00% $ $705,347 Firm 3 6.50% 5.00% $500,000 $458,353 Firm 4 % 12 3.50% $1,000,000 $1,114,103 Firm 5 0.80% 20 2.00% $700,000 $
- Suppose 2-year Treasury bonds yield 4.2%, while 1-year bonds yield 3.4%. r* is 1%, and the maturity risk premium is zero. Negative expected inflation rates, if any, should be indicated by a minus sign. Using the expectations theory, what is the yield on a 1-year bond, 1 year from now? Calculate the yield using a geometric average. Do not round intermediate calculations. Round your answer to two decimal places. % What is the expected inflation rate in Year 1? Do not round intermediate calculations. Round your answer to two decimal places. %What is the expected inflation rate in Year 2? Do not round intermediate calculations. Round your answer to two decimal places. %Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4? Required A Price $940.93 Complete this question by entering your answers in the tabs below. 868.39 800.92 735.40 670.48 Required B Maturity (years) 2 3 Calculate the forward rate of interest for each year. Note: Round your answers to 2 decimal places. Required C Forward Rate % % Prov 12 of 12 NextSuppose you are given the following information about the default- free, coupon-paying yield curve: maturity (years) 1 Coupon rate (annual payments) 0% YTM 2 10% 3.000% 4.908% 3 6% 6.840% Use arbitrage to determine the yield to maturity of a two-year and three year zero-coupon bond . (express in percentages, round to whole percentage)
- Suppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Price $983.78 865.89 797.92 732.00 660.24 Required: a. Calculate the forward rate of interest for each year. b. How could you construct a 1-year forward loan beginning in year 3? c. How could you construct a 1-year forward loan beginning in year 4?Consider the following pure discount bonds with face value $1,000: Maturity Price 1 952.38 2 898.47 3 847.62 4 799.64 5 754.38 a). Find the spot rates and draw a yield curve.b). Assume that there is a constant liquidty premium that is equal to 1% across all maturities. Find the forward rates and the expected one period future interest rates.Using the formula given below: Rbonds =( F − P)/P, if the market price of a $1,200-face-value discount bond changes from $900 to $925, the yield to maturity decreases or increases by enter your response here%. (Round your response to two decimal places.)
- This first table describes prevailing market interest rates. Market Data Yield 0.05 Required: Using the yield above and the information contained in the table below, please calculate the price and duration of the bond as well as all necessary steps. (Use cells A5 to B5 from the given information to complete this question.) Time Until Payment Payment Discounted Payment Weight Time × Weight 1.00 $30.00 2.00 $30.00 3.00 $30.00 4.00 $1,030.00 Price: DurationSuppose that the prices of zero-coupon bonds with various maturities are given in the following table. The face value of each bond is $1,000. Maturity (Years) 1 2 3 4 5 Show Transcribed Text B) How could you construct a 1-year forward loan beginning in year 3? (Face Value) C) How could you construct a 1-year forward loan beginning in year 4? (Face Value) Required A Required B Complete this question by entering your answers in the tabs below. Face value Rate of synthetic loan → Show Transcribed Text Price $ 970.93 898.39 836.92 How could you construct a 1-year forward loan beginning in year 3? Note: Round your Rate of synthetic loan answer to 2 decimal places. Required A 776.20 685.42 Required B Face value Rate of synthetic loan Required C 7.85 % Required C How could you construct a 1-year forward loan beginning in year 4? Note: Round your Rate of synthetic loan answer to 2 decimal places. Ċ 13.29 %The yield curve reveals that the 1-year spot rate is 4.9% and the 2- year spot rate is 7.9%. What is the duration of a 2-year bond with a face value of $1,000.00 making annual coupon payments of 32.9%? Do not report the modified duration. O a. 1.45 O b. 1.78 O c. 1.28 O d. 1.14 O e. 0.98 O f. 1.64 O g. 0.78 Oh. 0.58