You are given the following information: The price of a one-year zero coupon bond with par value of $100 is $96.35. The second year 1-year forward rate is 7%. The second year 2-year forward is 9%. Calculate the price of a 3-year bond with par value of $100 and 5% annual coupons. (A) $93.0 (B) $94.5 (C) $96.5 (D) $97.5 (E) $99.0
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- An n-year bond with semi-annual coupon payments has the following characteristics: • Par value is $100. • Redemption value is 105% of par. • Semi-annual coupon rate is r. • Semi-annual yield rate is i. • Price of the bond is $64.34. You are also given: (1+ i)-" = 0.3878 Calculate (A) 0.57 (B) 0.87 (C) 1.16 (D) 1.46 (E) 1.75Suppose that all bonds have $1,000 of face value. The current prices of zero coupon bonds are as follows: $960 for a one-year bond; $910 for a two-year bond; $850 for a three-year bond. a. What is the price of a three-year bond with 8% annual coupon payment? b. What is the YTM of the two-year zero coupon bond? c. Consider the following two-year bonds: (i) a zero coupon bond as above; (ii) a bond with 6% annual coupon payment. Whose YTM is higher?You are given the following spot rates: s1 = 6%, s2 = 7%, s3 = 8%.Calculate the YTM for a 3 year bond that sells for the present value of its cash flows. The bond has 6% coupons that are paid annually and is redeemed for its $1,000 par value. Answer Choices: a) 7.12% b) 7.50% c) 7.76% d) 7.92%
- 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?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 NextConsider the following bonds: •Bond A: A 2-year zero-coupon bond with a face value of $100 and 6% YTM. •Bond B: A 2-year par-value bond with a face value of $100 and 6% coupon rate. *Bond C: A 2-year par-value bond with a face value of $100 and 7% coupon rate. Suppose the yield curve shifts upwards by one percent. Which bond among bonds A, B, and C will experience the largest percentage price change? Which will have the lowest percentage price change? O a. Bond A; Bond C O b. Bond A; Bond B O c. Bond B; Bond C O d. Bond C; Bond B
- The market price of a 10-year bond is 957$, its yield to maturity is 8% per year, and annual coupon payments are equal to 957$. The face value of the bond is $1000. Calculate the present value of the bond. Would you buy it? The answer is to be written in the reasons box. Round your answer to the nearest tenth. Optional: Provide calculation details in the reasons box. Answer: Give your reasonsConsider 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+29c) Suppose you observe the following three bonds. Assume that all bonds are denominated at $100 face value per contract and that they pay their coupons annually. Price Coupon Maturity (years) Bond A 111.42 15 3 Bond B 108.33 15 Bond C 116.61 15 1 i) Compute the spot rates r0,1, r0,2 and r0,3. ii) Compute the forward rates r1,2 and r2,3.
- Suppose you have the following liabilities: Liability 1: A one-time liability maturing in 4 years with the present value of $100. Liability 2: A one-time liability maturing in 8 years with the present value of $100. To immunize your liabilities using the following two bonds, what would be the weights of the two bonds in your immunizing bond portfolio? Bond A: A zero-coupon bond with a face value of $100 and a time to maturity of 3 years. Bond B: A zero-coupon bond with a face value of $100 and a time to maturity of 12 years. A. 33% in Bond A and 67% in bond B B. 70% in Bond A and 30% in bond B C. 30% in Bond A and 70% in bond B D. 67% in Bond A and 33% in bond B E. 50% in Bond A and 50% in bond BFor a company, you plan to buy the following bond: Time to maturity, 6 years; coupon rate, 8%; Coupon payment, annual; Market interest rate, 8%; Face value, $1,000. Using Excel, calculate the duration of the bond. Using Excel, calculate the accumulated value of invested payment(or receipt) when you find market interest rate a year later is now 8%, 9%, and 7%, respectively. Using Excel, calculate geometric average rate of return (or realized compound return).You purchased a coupon-bearing bond at $800 and resold it at $900 after exactly one year. If the coupon is $60 paid annually, what is the current yield of the bond? O A. 0.075 O B. 0.125 O C. 0.067 O D. 0.200