a. Compute the change in the price of the bond. 5. Suppose that éxpected inflation is still 2 percent, but the probability that it will move to:3 percent.has risen. Describe the consequences for the price of the bond.
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- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate?The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, andtwo years to maturity as a function of its price P is D = 4000 − 2P. The supply in (billions of£) as a function of the price of the bond is S = 2P + 400. b) Suppose that the yield to maturity of the bond is i = 0.05. What is the quantitydemanded/supplied at this interest rate? What happens to the demand/supply of the bond asthe interest rate increases? Explain why. c) What is the equilibrium interest rate? d) Suppose that the bond trades at premium. Is there excess demand or supply? Explain.e) There is a business cycle expansion, so both supply and demand shifts. After the shift, thenew demand curve is given by: D = 4000 + X − 2P, whereas the new supply curve is S =2P + 200. For which values of X will the interest increase/decrease? Which values of X arein line with empirical data?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.”
- (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? [1%] (b) In the next period however, the interest rate changes unexpectedly to i 0 . 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 0 > i? [4%] (c) Suppose alternatively that the market expects that the interest rate will change to i 0 after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period? [5%]The Determinants of Market Interest Rates Expected Interest Rate The real risk-free rate is 3.5%. Inflation is expected to be 296 this year and 4.75% during the next 2 years. Assume that the maturity risk premium is zero. a. What is the yield on 2-year Treasury securities? Round your answer to two decimal places. placesplease show steps on financail calculator if possible? The real risk-free rate is 3.25%. Inflation is expected to be 2.00% this year and 3.75% 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? Do not round intermediate calculations. Round your answer to two decimal places.
- In a country Macroland, the government borrows at 5% for 1-year maturity. However, the Central Bank has announced interest rate hikes for the following years, so people expect that the next year the same 1-year bond will pay 7% and that the interest will rise again to 8% in the year after. Compute and draw the yields curve (for 1, 2 and 3 years bonds) of the government of Macroland, assuming that there is no risk of default and no inflationEconomics What is the probability of default if the risk premium demanded by bond holders is 2% and the return on the riskless bond is 5% (round to the nearest decimal point) Savet a. 1.9% b. All of the answers here are incorrect Oc 1.3% Od. 21% Oe2.8%Obtain weekly data from Refinitiv Eikon and plot the interest rates (bid and ask mid- rate) on 2-year commonwealth government bond (AU2Y-TBOND) and 10 yearcommonwealth government bond (au 10Y-TBOND) from January 2020. Determine theshape of the yield curve by using one of the interest rate theories you know and shareyour opinion on whether the Australian economy is heading for a boom or for arecession. Explain your choice.
- 2. The cash flows for an investment project are listed below. the firm will invest if the present value of the cash flows is positive. Year 1 −200 Year 2 100 Year 3 120 Should the firm undertake this project: a. If the interest rate is 5 percent? b. If the interest rate is 10 percent? 5. Given the following information, calculate tobin's q statistic: Let's suppose that a company has one million outstanding shares of stock, each valued at $25. Let us suppose also that the replacement cost of its physical capital stock is $18 million. a. Should this firm invest (net) in more physical capital?Assume that it is January 1, 2003. The rate of inflation is expected to be 4 percent thought 2003. However, increased government deficits and renewed vigor in the economy are then expected to push information rates higher. Investors expect the inflation rate to be 5 percent in 2004, 6 per percent cent in 2005, and 7 percent in 2006. The real risk-free rate, k*, is expected to remain at 2 percent over the next 5years. Assume that on maturity risk premiums are required on bonds with 5 years of less to maturity. The current interest rate on 5 year T-bonds is 8 Percent. What is the average expected inflation rate over the next 4 year? What should be the prevailing interest rate on 4-year T-bond? What is the implied expected inflation rate in 2007, or Year 5, give that Treasury bonds which mature in the year yield 8 percent?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.