Suppose that a bond sells for $1000 and earns $50 of interest. So the interest rate is 5 percent. Now suppose that the interest rate rises to 10 percent, what would happen to the price of the bond? -- Select an Option -- Fall to $900 Fall to $500 Rise to $1100 Rise to $1050 C
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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%]Problem 17-03 (algo) Suppose that a risk-free investment will make three future payments of $500 in 1 year, $500 in 2 years, and $500 in 3 years. Instructions: Round your answers to 2 decimal places. a. If the Federal Reserve has set the risk-free interest rate at 16 percent, what is the proper current price of this investment? $ b. What is the price of this investment if the Federal Reserve raises the risk-free interest rate to 18 percent? $The demand ? (in billions of £) for a bond with coupon rate 5% and face value ?? = 1000, and two years to maturity as a function of its price ? is ? = 4000 − 2?. The supply in (billions of £)asafunctionofthepriceofthebondis ? = 2?+ 400. There is a business cycle expansion, so both supply and demand shifts. After the shift, the new demand curve is given by: ?=4000+?−2? ,whereas the new supply curve is ?=2? + 200. For which values of ? will the interest increase/decrease? Which values of ? are in line with empirical data?
- Suppose you expect a stock to pay a dividend of $10 every year forever and the discount rate is fixed at 5%. (a) What would you expect the price of the stock to be if it were priced according to its present value? (b) What happens to the price of the stock if the discount rate falls to 2%? (c) Now suppose you expect the dividend to grow by 1.5% every year, such that it will be $10.15 next vear. $10.30 the year after that, and so on. What are the new prices of the stock with 5% and 2% discount rates?A bond has a Macaulay duration of 10.00 and is priced to yield 8.0%. If interest rates go up so that the yield goes to 8.5%, what will be the percentage change in the price of the bond? Now, if the yield on this bond goes down to 7.5%, what will be the bond's percentage change in price? Comment on your findings. If interest rates go up to 8.5%, the percentage change in the price of the bond is nothing%. (Round to two decimal places.) If interest rates go down to 7.5%, the percentage change in the price of the bond is nothing%. (Round to two decimal places.) Comment on your findings. (Select the best answer below.) A. As interest rates decrease, the price of the bond decreases. As interest rates increase, the price of the bond increases. B. As interest rates increase or decrease, the price of the bond will always increase. C. As interest rates increase or decrease, the price of the bond remains the same. D. As interest rates…(1) Suppose you just bought a treasury bill for $965 that matures in three months (91 days), and has a face value of $1,000. What is your bond’s current discount yield? What is your bond’s current investment yield? ANS: (2) The French Government runs a budget surplus to finance its expenditure. Use the loanable funds model to show what happens to the interest rate, investments, and the quantity of loanable funds. ANS: (3) Which of the following is money? An American Express traveler’s check Checking deposits at Washington Mutual bank. The check you have just written to pay for school fees. ANS:
- 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.Over the next three years, the expected path of 1-year interest rate is 4, 1, and 1 percent. Today if you buy $1 of one-year bond and when it matures you use the money you receive to buy another one-year bond, then your expected rate of return for this $1 investment is ____% (round to the nearest integer). If the expectations theory of the term structure is true, then it implies that the current interest rate on 2-year bond must be ____% (round to one decimal place x.x)For each of the following pairs, which bond wouldyou expect to pay a higher interest rate? Explain.a. a bond of the U.S. government or a bond of anEastern European governmentb. a bond that repays the principal in year 2020 or abond that repays the principal in year 2040c. a bond from Coca-Cola or a bond from a softwarecompany you run in your garaged. a bond issued by the federal government or abond issued by New York State