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- NoneTrue or false? the YTM is the annual return that an investor earns on a bond of the investor purchases the bond today and sells it before maturityWhat is a bond's yield to maturity (YTM)? A. The expected return you'll earn if the bond issuer defaults B. The return you have made if you sell the bond today C. The same as the bond's coupon rate D. The return you'll earn if you hold the bond to maturity and yields stay the same
- What do you have to do to the interest rate and years of maturity if a bond pricing problem tells you that interest is compounded quarterly?What would be the value of the bond described in Part d if, just after it had been issued, the expected inflation rate rose by 3 percentage points, causing investors to require a 13% return? Would we now have a discount or a premium bond? What would happen to the bond’s value if inflation fell and rd declined to 7%? Would we now have a premium or a discount bond? What would happen to the value of the 10-year bond over time if the required rate of return remained at 13%? If it remained at 7%? (Hint: With a financial calculator, enter PMT, I/YR, FV, and N, and then change N to see what happens to the PV as the bond approaches maturity.)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.)
- d. If you hold the bonds for one year, and interest rates do not change, what total rate of return will you earn, assuming that you pay the market price? Why is this different from the current yield and YTM?Suppose that y is the yield on a perpetual government bond that pays interest at the rate of $1 per annum. Assume that y is expressed with simply com- pounding, that interest is paid annually on the bond, and that y follows the process dy = a(y0 −y)dt + oydWt, where a, y0, and o are positive constants and dWt is a Wiener process. (a) What is the process followed by the bond price? (b) What is the expected instantaneous return (including interest and capital gains) to the holder of the bond?When you use the effective annual yield on a semi-annual coupon bond to price the corresponding annual coupon bond, do you get the same price?
- Which of the following is correct? O If you pay a price above its face value to buy a bond, your return will be higher than its coupon rate. O When market rate is greater than coupon rate, the bond has a price below its face value. O When determining the value of a bond that payments semi-annual payments, one need to use semi-annual coupon rate to determine the coupon payments and semi-annual market rate as discount rate.(Using algabreic formula to answer) (a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today?(b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i' > i? (c) Suppose alternatively that the market expects that the interest rate will changeto i' after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?Help pls
