2. In year 1, the yield on 1-year T-bills is 1%, and on 10-year T-bond is 5%. In year 2, 1-year yield becomes 1.5%, and 10-year yield becomes 8.5%. 1. In year 2, does the market expect future short-term interest rate to rise or fall, compared with year 1? Why? Explain carefully. 2. Has the probability of a recession risen or decreased?
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- Imagine that a local water company issued 10,000 ten-year bond at an interest rate of 6. You are thinking about buying this bond one year before the end of the ten years, but interest rates are now 9. Given the change in interest rates, would you expect to pay more or less than 10,000 for the bond? Calculate what you would actually be willing to pay for this bond.4. Use a different graph for each one and clearly label the axis and the shifting of curves. Explain clearly (in words and on the graph) whether the price and yield to maturity increased or decreased.4. You buy a bond that pays annual interest payments of 8% of the bond’s face value of $1000.You initially pay $1050 for the bond. You receive an annual interest payment after one year, then sell the bond for $1010. What is your total rate of return on the investment, expressed as a percentage of the purchase price?2. Assume a bond with the following characteristics: face value = $1000; maturity = 5 years; N yearly coupon payments = $100. a. If the current price of this bond is $850, state what the formula is to calculate the bond's yield to maturity and state the range of interest rates where the yield to maturity should fall b. If you purchased this bond at face value and held it for 1 year, when you resold it for $850, what is the bond's rate of return?
- Bond A pays $8,000 in 20 years. Bond B pays $8,000in 40 years. (To keep things simple, assume that theseare zero-coupon bonds, meaning the $8,000 is theonly payment the bondholder receives.)a. If the interest rate is 3.5 percent, what is the valueof each bond today? Which bond is worth more?Why? (Hint: You can use a calculator, but the ruleof 70 should make the calculation easy.)b. If the interest rate increases to 7 percent, what isthe value of each bond? Which bond has a largerpercentage change in value?c. Based on the example above, complete the twoblanks in this sentence: “The value of a bond[rises/falls] when the interest rate increases,and bonds with a longer time to maturity are[more/less] sensitive to changes in the interestrate.”The remarkable thing about the events described in the article is that the yield an the 3-month T-bill was briefly negative. To see how this could haroen, consider the relationship between bond prices and bond yields. A 3-month T-bill with a maturity value of $1,000 is just a piece of paper that entities the holder to $1,000 in three months. For example, if you were to buy a 3-month T-bill on September 24, 2008, with a maturity value of $1,000 and 90 days left to maturity, the U.S. government would pay you $1.000 on December 23, 2008. In general, the price of a bond is less than its maturity value. That is, if you are going to give up a certain amount of money for the duration of the bond, you expect to be paid for this loss of liquidity and compensated for inflation that could reduce the value of the repayment at the end of the period. Therefore, a piece of paper entitling you to $1,000 on December 23 would usually be worth less than $1,000 on September 24. The yield on a bond is a…Suppose that you purchase a 2 year coupon bond at the time it is issued for $1100. The face value of the bond is $1000, with annual coupon payments of $80. a. What is the bond’s “coupon rate”? b. What is the bond’s “current yield”? c. What is the bond’s (nominal) “yield to maturity”? d. If you hold the bond for 1 year and sell it for $1035 (after collecting the first coupon payment), what is your “holding period rate of return”? Please answer all part otherwise Dounvote
- The real risk-free rate is 3.50%. Inflation is expected to be 1.50% this year and 3.50% during the next 2 years. Assume that the maturity risk premium is zero. What is the yield on 2-year Treasury securities? Do not round intermediate calculations. Round your answer to two decimal places. % What is the yield on 3-year Treasury securities?6. An investor purchases a 30-year U.S. government bond for $840. The bond’s couponrate is 10 percent and, it still had twelve years remaining until maturity. If the investorholds the bond until it matures and collects the $1000 par value from the Treasuryand his marginal tax rate is 25 percent (we assume that the bond is taxable), what willbe his after-tax (effective) yield to maturity? Make sure to show your work.Rate of Return 1. If a bond has a current yield of 6% and a rate of return of 2%, it has a capital gain or loss. 2. If a bond has a 2% rate of return and a capital loss of 4%, its current yield is ? Real and Nominal Interest Rates 3. If the nominal interest rate is 4% and expected inflation is -4%, the real interest rate is ? 4. If the nominal interest rate is 6%, the expected rate of inflation is 4% and the actual rate of inflation is 6%, the ex post real interest rate is ?
- 1.Assuming you have an inflation linker that pays an annual coupon of 2.5% every half a year and the real yield is 3%. What will be the price of the if it matures after 3.5 assuming inflation is -2% principal of 100 that you bought directly from the government. Hint: Use the magic formula first and then decide whether u need an adjustment 98.35 96.38 95.3 NONE OF THE ABOVE5. How much is the interest rate on a bond that has a face value of $1,000, a selling price of $800, and that pays $80 interest?10. The bond has a 30-year maturity, an 8% coupon, and sells at an initial yield to maturity of 8%. Because the coupon rate equals yield to maturity, the bond sells at par value, or $1,000. The modified duration of the bond at its initial yield is 11.26 years, and its convexity is 212.4. If the bond's yield increases from 8% to 10%, the bond price will fall to $811.46, a decline of 18.85%. a. How does the price change according to the duration rule? b. How does the price change according to the duration-with-convexity rule?