Ex. Given the following prices of zero - coupon bonds, find the sequence of spot and forward rates. n (years) po 1 $952.38 2 $898.45 3 $827.85 Ex. In the problem above, what is the price and ytm of a 3-year 10% annual coupon bond?
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- 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?The current zero-coupon yield curve for risk-free bonds is as follows: What is the price per $100 face value of a two-year, zero-coupon, risk-free bond? The price per $100 face value of the two-year, zero-coupon, risk-free bond is $ Data table (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) 1 2 YTM 4.99% 5.53% Print 3 5.72% Done (Round to the nearest cent.) 4 5.92% 5 6.07% XBonds have a maturity risk premium that can be modeled as the following:MRP = (t-1) 0.3%were t represents the years to maturity. What is the Maturity risk premium of a bond that matures in 8 years? answer in % without the symbol
- There are three bonds that mature at the same time, have the same par value, and are expected to pay their first annual coupon 1 next year. The bonds are detailed in the below table. Bond A B с PV PV PV Present Value B ? ? ? PV B If ca r, then what can we say about the prices of the bonds today? (Enter >, <, or ?) PV C PV Yield to Maturity C r rb Coupon Rate ca с сThe current yield curve for risk-free zero-coupon bonds is as follows: Maturity (years) YTM (%) 1 10 2. 11 3 12 (Round your final answers to 2 decimal places. Enter percentages "as-Is", without the % sign, prices without the $ sign.) a) What are the 1-year forward rates implied by the spot rates? (i.e., f2, f3) 12 % f3 b) If next year, you decide to buy a 2-year zero-coupon bond how much would you need to pay? What will be the YTM offered (next year)? Assume that the expectations hypothesis is correct, and the market expectations are accurate. All Face Values are equal to $1000. Price $ ΥTM c) If you were to buy a 3-year zero-coupon bond today and sell it next year, what would your holding period return be? (Again, assume that expectations theory holds.) HPRHow do investors calculate the net present value of a bond? If a bond's coupon payment is C, the interest rate is R, and the bond's coupon payment is made in each period for T years at which time the original principal, P, is repaid, then the bond's present discounted value (PDV) is C A. PDV = + (1 + R) (1 + R? (1 + R)T B. PDV = C(1 + R) + C(1 + R)2 - + C(1 + R)T + P(1 + R)T + C P OC. PDV = - + R R2 RT RT C D. PDV = P + C C (1 + R) (1+R)2 (1 + R)T C E. PDV = + + + + (1 + R) (1+ R)2 (1 + R)T (1 + R)T If the interest rate is 9 percent, what is the present value of a perpetuity that pays $50,000 each year, forever? The perpetuity's value is $ (Enter a numeric response rounded to two decimal places.)
- 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.)K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): 0 2 5 Period $19.53 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? Cash Flows View an example Get more help. ★ a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) A 6 1 MacBook Pro & 7 $19.53 * 8 9 C 59 $19.53 60 $19.53+$1,000 Clear all BUB 0 {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 Next
- Consider the following bonds: Bond A B CD с Coupon Rate (annual payments) 0.0% 0.0% 4.3% 7.7% The percentage change in the price of bond A is |___%. (Round to one decimal place.) What is the percentage change in the price of each bond if its yield to maturity falls from 6.9% to 5.9%? The percentage change in the price of bond B is %. (Round to one decimal place.) Maturity (years) 15 The percentage change in the price of bond C is %. (Round to one decimal place.) The percentage change in the price of bond D is %. 21500Suppose the current, zero-coupon, yield curve for risk-free bonds is as follows: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) 1 4.45% 2 4.80% Yield to Maturity a. What is the price per $100 face value of a 3-year, zero-coupon, risk-free bond? b. What is 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 3-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 3-year maturity? The risk-free rate is %. (Round to two decimal places.) C--- 3 5.06% 4 5.25% 5 5.38%The term structure for zero-coupon bonds is currently: Maturity (Years) YTM (%) 1 4.7% 123 5.7 6.7 Next year at this time, you expect it to be: Maturity (Years) YTM (%) 1 5.7% 23 2 6.7 7.7 3 Required: a. What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? b. Under the expectations theory, what yields to maturity does the market expect to observe on 1- and 2-year zeros at the end of the year? c. Is the market's expectation of the return on the 3-year bond greater or less than yours? Complete this question by entering your answers in the tabs below. Required A Required B Required C What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? Note: Round your answer to 1 decimal place. Rate of return % < Required A Required B