Consider a 10-year bond with current price of $98.4 and a duration of 9.1 years. Suppose the yield on the bond is 9.6% per year with continuous compounding. What is the predicted change in the price (in dollars) of the bond if the yield increases by 0.4%? (required precision: 0.01 +/- 0.01)
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Consider a 10-year bond with current price of $98.4 and a duration of 9.1 years. Suppose the yield on the bond is 9.6% per year with continuous compounding. What is the predicted change in the price (in dollars) of the bond if the yield increases by 0.4%?
(required precision: 0.01 +/- 0.01)
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- Consider a bond with a duration of 8.8 years priced at $1,100. If market interest rates were to increase by 0.25%, what would be the predicted new bond price according to duration?Suppose that the yield curve shows that the one-year bond yield is 8 percent, the two-year yield is 7 percent, and the three-year yield is 7 percent. Assume that the risk premium on the one-year bond is zero, the risk premium on the two-year bond is 1 percent, and the risk premium on the three-year bond is 2 percent. a. What are the expected one-year interest rates next year and the following year? The expected one-year interest rate next year = The expected one-year interest rate the following year b. If the risk premiums were all zero, as in the expectations hypothesis, what would the slope of the yield curve be? The slope of the yield curve would be (Click to select) % %Consider a bond that has a face value of $1,000. The bond has a maturity of 25 years and pays coupons of 5.5% per annum. If the bond's required rate of return is 8.0% per annum nominal, and coupons are received semi-annually, what is the current market price of the bond?
- Suppose the yield on a two-year-old Treasury bond is 5 percent and the yield on a one-year Treasury bond is a 4 percent. If the maturity risk premium (MRP) on these bonds is zero (0), what is the expected one-year interest rate during the second year (Year 2)?Suppose that the interest rate on one-year bonds is currently 4 percent and is expected to be 5 percent in one year and 6 percent in two years. Using the expectations hypothesis, compute the yields on two- and three-year bonds and plot the yield curve.The real risk-free rate of interest, r*, is 4 percent, and it is expected to remain constant over time. Inflation is expected to be 2 percent per year for the next three years, after which time inflation is expected to remain at a constant rate of 5 percent per year. The maturity risk premium is equal to 0.1(t - 1)%, where t = the bond’s maturity. What is the yield on a 10-year Treasury bond?
- Consider a 4-years bond with a 8% annual coupon rate and semi-annual payments. Let us suppose that the zero coupon curve rate today with annual compounding is given by the one in Table 1.(a) Calculate the discount factors for all the previous maturities and then the bond price.(b) Calculate the equivalent continuous compounding rates. What do you expect as result for the bond price with these rates? Should it be lower, higher or equal to the one in part (a)? Why? The equivalent continuous compounding rates should be lower than the annual rates. Why?Example: Suppose that a bond has a face value of P100,000and its maturity date is 10 years from now. The coupon rate is5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 4%. Given: Coupon rate r= 5%, payable semi - annually Face Value = 100,000 Time to maturity = 10 years Number of periods = 2(10) = 20 Market rate = 4% The bondholder receives 20 payments of P2,500 each, and P100,000 at t = 10. Present Value of 100,000: F P =- 100000 = 67,556.42 1+ 0.0410 Present Value of 20 payments of Php2500 each: Convert 4% to equivalent semi-annual rate: 1+ jm 0.04 1= (1+=)" -1 - (1+ ) - 1 - 1 = m 2 | = 0.0404Consider a bond paying a coupon rate of 10% per year semi-annually when the market interest rate is only 4% per half-year. The bond has three years until maturity. This initial payment is $1000. A: What is find the bond’s price today and 6 months time after the next coupon is paid? B: What is the total rate of return on the bond?
- Consider a bond with a face value of $2,000 that pays a coupon of $150 for 10 years. Suppose the bond is purchased at $500, and can be resold next year for $400. What is the rate of return of the bond? What is the yield to maturity of the bond?Suppose that a 1-year zero-coupon bond with face value $100 currently sells at $89.75, while a 2-year zero sells at $79.88. You are considering the purchase of a 2-year-maturity bond making annual coupon payments. The face value of the bond is $100, and the coupon rate is 10% per year. Required: What is the yield to maturity of the 2-year zero? What is the yield to maturity of the 2-year coupon bond? What is the forward rate for the second year? If the expectations hypothesis is accepted, what are (1) the expected price of the coupon bond at the end of the first year and (2) the expected holding-period return on the coupon bond over the first year? Will the expected rate of return be higher or lower if you accept the liquidity preference hypothesis?Suppose that a bond has a face value of $200 000 and its maturity date is 10 years from now. The coupon rate is 5% payable semi-annually. Find the fair price of this bond, assuming that the annual market rate is 4%.
