QUESTION 5

Please help me understand how to answer the last equation?

Question 3. A fixed rate bond with notional 1 pays annual coupons of c at times T1, T2, . . . , Tn where Ti+1 = Ti + 1 and notional 1 at time Tn. a) Write down the bond price BFXD c (t) at time t ≤ T0 in terms of ZCBs. b) Suppose t = T0 = 0. The yield of the bond is defined as the value Y such that B FXD c (0) = Xn i=1 c (1 + Y ) i + 1 (1 + Y ) n , that is, the rate at which IRR discounting gives the bond price. By summing a geometric series, show that BFXD c (0) = 1 if and only if Y = c. c) By writing a swap as the difference between a fixed rate bond and a floating rate bond, show that BFXD c (0) = 1 if and only if c = y0[0, Tn]. Remark 1. This exercise shows that the T-year spot swap rate is the bond coupon such that a T-maturity bond has price par, that is 100% of notional.

P 6.23 Consider the following bonds: Bond Coupon Rate (annual payments) Maturity (yr.s) A 0% 15 B0 % 10 C 4% 15 D 8% 10 What is the percentage change in the price of each bond if its yield to maturity falls from 6% to 5% ?

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QUESTION 7 Consider the market for a bond which has a face value of $2,000, pays a coupon of $100, and matures in 1 year (that is, you will get the face value and one coupon payment next year). Suppose the demand for such bonds is given by P=4,000-2Q, and that the supply of such bonds is given by P=1,000+Q. What is the yield to maturity if one were to purchase the bond at the equilibrium price?     5%     .05%     10%     .10%

Question 4 Which of the following is the correct ranking for the bond price? Bond Coupon Rate A B C A>B>C B> C>A C> A > B 6% 6% 7% Maturity (years) 8 8 7 YTM 6.5% 7% 6.5%

QUESTION 1 If the yield to maturity for a one year zero coupon bond is 5.2% and the yield to maturity for a 2 year zero coupon bond is 5.8%, what is the implied future short rate from year 1 to 2 (use 5 decimal places, write 3.333% as .03333)?

How 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.)

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7 Suppose the interest rates in the market for one-year, zero-coupon Treasury strips and for one-year, zero-coupon grade B corporate bonds are, respectively:   i = 2.05% k = 7.80%   Compute the probabilities of repayment and default as well as the risk premium.

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Bonds 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

Q12

Q2. Duration and Convexity Bond A has face value at $1,000, coupon rate of 6% paid semi-annually, 5 years to maturity, and a yield to maturity of 7%. a. Using the bond pricing formula, calculate the price of the bond and duration. b. Calculate the convexity of the bond. c. Using the calculations from above, what is the "approximated bond price change" using duration and convexity, if the interest rate increases by 1%? d. What is the actual change in the bond price if the interest rate increases by 1%? e. Based on c) and d) above, discuss the roles of duration and convexity in estimating the price change. Which risk measure plays a bigger role? f. Suppose you have two bonds with the same maturity date but one bond has a 10% coupon rate while the other has a 5% coupon rate. Which of these two bonds would have a higher duration?

Financial Accounting Question need answer please