s the yield to maturity on a bond the same thing as the required return? Is YTM the same thing as the coupon rate? Suppose today a 10 percent coupon bond sells at par. Two years from now, the required return on the same bond is 8 percent. What is the YTM on the bond?
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| s the yield to maturity on a bond the same thing as the required return? Is YTM the same thing as the coupon rate? Suppose today a 10 percent coupon bond sells at par. Two years from now, the required return on the same bond is 8 percent. |
| What is the YTM on the bond? |
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- 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.)Suppose a 10-year, 10% semiannual coupon bond with a par value of 1,000 is currently selling for 1,135.90, producing a nominal yield to maturity of 8%. However, the bond can be called after 5 years for a price of 1,050. (1) What is the bonds nominal yield to call (YTC)? (2) If you bought this bond, do you think you would be more likely to earn the YTM or the YTC? Why?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?
- Is the yield to maturity on a bond the same thing as the required return? Is YTM the same thing as the coupon rate? Suppose today a 10 percent coupon bond sells at par. Two years from now, the required return on the same bond is 8 percent. What is the coupon rate on the bond? What is the YTM on the bond?Consider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today? Please solve both partsConsider a bond that has a current value of $1,081.11, a face value of $1,000.00, a coupon rate of 10% and five years remaining to maturity.a. What is the bond’s yield-to-maturity today?b. If the bond’s yield does not change, what is its value one year from today?
- What is the yield to maturity on a bond that has a price of $1,700 and a coupon rate of 12% annually for 6 years at the end of which it repays the principal of $1000? Is the bond selling at premium, at par, or at discount? How can you tell? (Using financial calculator)A bond with a face value of $1,000 has 10 years until maturity, carries a coupon rate of 9%, and sells for $1,100. Interest is paid annually. Assume a face value of $1,000 and annual coupon payments.a) If the bond has a yield to maturity of 9% 1 year from now, what will its price be at that time?b) What will be the rate of return on the bond? c) If the inflation rate during the year is 3%, what is the real rate of return on the bond? Assume annual interest payments.Consider a bond with a 10% coupon and yield to maturity = 8%. If the bond’s yield to maturity remains constant, then in one year, will the bond price be higher, lower, or unchanged? Why?
- Consider a bond selling at par of $1,000 with a coupon rate of 5% semi-annualcoupon payment, and 10 years to maturity.(a) What is the price of this bond if the required yield is 15%?(b) What is the price of this bond if the required yield increases from 15% to 16%,and by what percentage did the price of this bond change?(c) What is the price of this bond if the required yield is 5%?(d) What is the price of this bond if the required yield increases from 5% to 6%, andby what percentage did the price of this bond change?(e) From your answers of parts (b) & (d), what can you say about the relative pricevolatility of a bond in a high-interest-rate environment compared to alow-interest-rate environment?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 a five-year face value of $1000 bond with a 9% coupon rate, and coupons are paid semi-annually. The yield to maturity of this bond is 7% (APR with semi-annual compounding). a) Is this bond trading at a discount, at par, or a premium? Explain. b) If the bond's yield to maturity rises to 8% (APR with semi-annual compounding), what price will the bond trade for?
