A 15-year, 4% coupon bond paid semi-annually is currently trading at a yield to maturity of 3.5%. What would be the actual percentage change in the bond's price if yields increase by 245 basis points?
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- Suppose GE plans to issue a note that matures in 2 years and has a 3.67% coupon rate. If the market yield is 4.91%, what is the market price?What is the yield-to-maturity of a bond with a coupon rate of 9.0%, par value of $2000, 7 years until maturity, and a value of $987.33 if coupons are paid annually with the next one due in one year?Suppose that 6 - month, 12-month, 18 - month, 24 month, and 30 - month zero rates are 4%, 4.2%, 4.4%, 4.6%, and 4.6% per annum with continuous compounding respectively. Estimate the cash price of a bond with a face value of 100 that will mature in 30 months and pays a coupon of 6% per annum semiannually.
- What is the most we should pay for a bond with a par value of $1000, coupon rate of 9.6% paid annually, and a remaining life of 16 years? The yield to maturity is 7.1%. Assume annual discounting. (Round your answer to the nearest penny.)What is the value today of zero coupon bond that matures in 21 years and has a par value of $1000 if the required rate of return is 5.87%? Assume annual discountingWhat is the semi-annual coupon bond’s nominal yield to maturity (YTM), if the years to maturity is 15 years, and sells for 105% with coupons rate of 10%? Assume the par value of the bond is $1,000. Using a financial calculator
- Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a 3.0% coupon if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 3.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) Note: Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places. Economy Boom Normal Growth Recession Probability 0.35 0.40 0.25 YTM 12.0 % 10.0 % 9.0 % Price Capital Gain $ Coupon Interest 3.00 3.00 3.00 HPR % % %Suppose that 6-month, 12-month, 18-month, 24-month, and 30-month zero rates are 4%, 4.2%, 4.4%, 4.6%, and 4.7% per annum with continuous compounding respectively. Estimate the cash price of a bond with a face value of 100 that will mature in 30 months and pays a coupon of 5% per annum semiannuallyDerive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 3.5% if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 3.5% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Economy Boom Normal Growth Recession Probability 0.25 0.55 0.20 YTM 8.0 % 6.0 % 4.0 % Price Capital Gain Coupon Interest HPR % % %
- Derive the probability distribution of the 1-year HPR on a 30-year U.S. Treasury bond with a coupon of 4.0% if it is currently selling at par and the probability distribution of its yield to maturity a year from now is as shown in the table below. (Assume the entire 4.0% coupon is paid at the end of the year rather than every 6 months. Assume a par value of $100.) (Leave no cells blank - be certain to enter "0" wherever required. Negative values should be indicated by a minus sign. Do not round intermediate calculations. Round your answers to 2 decimal places.) Economy Probability YTM price capital gain coupon interest HPR boom 0.25 10% normal growth 0.50 9% recession 0.25 8%Assume the current Treasury yield curve shows that the spot rates for six months, one year, and one and a half years are 1.0%, 1.1%, and 1.3%, all quoted as semiannually compounded APRs. What is the price of a $1,000 par, 5% coupon bond maturing in one and a half years (the next coupon is exactly six months from now)?What is the value of a bond that matures in 5 years, has an annual coupon payment of OMR 110, and a par value of OMR 2,000? Assume a required rate of return of 9%.