You own a zero-coupon bond that will pay 10,000 in two years. The interest rate from 2021 to 2022 is 0.09 and the interest rate from 2022 to 2023 is 0.03. What is the current price of this bond? Please give your answer to two decimal places. (Hint: one must discount this bond twice: once from 2022 to 2021; and then again from 2021 to 2020.)
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- Suppose that the interest rate is 5 percent. The future value of $1,000 four years from now is $. (Enter your response rounded to two decimal places.)Suppose that the market interest rate in an economy is 7 percent and a bond promises to pay $615 after one year, $856 two years from now, and finally $1423 three years from now The equilibrium market price of this bond is $ (Round your response to two decimal places) If this bond were to sell for $2981 in the market, then it is profitable this bond from investors' perspectives.A zero-coupon bond is a bond that is sold for less than its face value (that is, it is discounted) and has no periodic interest payments. Instead, the bond is redeemed for its face value at maturity. Thus, in this sense, interest is paid at maturity. Suppose that a zero-coupon bond sells for $8,500 and can be redeemed in 20-years for its face value of $38,000. What is the annual compound rate of return? Annual compound rate = % (Round to two decimal places as needed.)
- Suppose the interest rate is 10%. If $100 is invested at this rate today, how much will it be worth after one year? After two years? After five years? What is the value today of $100 paid one year from now? Paid two years from now? Paid five years from now?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…The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, and two 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 quantity demanded/supplied at this interest rate? What happens to the demand/supply of the bond as the 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 contraction, so both supply and demand shifts. After the shift, the new 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 are in line with empirical data? Please show all the steps and equations used to get to the answers.
- The demand D (in billions of £) for a bond with coupon rate 5% and face value FV = 1000, and two 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 quantity demanded/supplied at this interest rate? What happens to the demand/supply of the bond as the 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 contraction, so both supply and demand shifts. After the shift, the new 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 are in line with empirical data?Consider a bond without an expiration date that makes a fixed interest payment of $210 per year. Complete the following table by calculating the interest rate on the bond at different sale prices. (Hint: The effective interest rate on a bond is a ratio of the interest payment to the sale price of the bond times 100.) Price of Bond Interest Rate (Dollars) (Percent) 1,200 1,000 750 600 Use the blue points (circle symbol) and the preceding table to plot the relationship between bond prices and interest rates on the following graph. Note: Plot your points in the order in which you would like them connected. Line segments will connect the points automatically. The line showing the relationship between bond prices and interest rates has a _____(POSITIVE/NEGATIVE) slope; in other words, there is _______(INVERSE / A DIRECT) relationship between bond prices and interest rates. NOTE- THIS QUESTION IS DIVIDED INTO SUBPARTS . PLEASE ANSWER…you were offered either a simple interest note or a simple discount note with the following terms: $21,399 at 8% for 36 months. calculate the effective interest rate. (do not round intermediate calculations. round your final answer to the nearest tenth percent.): Effective interest rate: ??
- Dell Computer makes its suppliers wait 37 days on average to be paid for their goods; however, Dell is paid by its customers immediately. Thus, Dell earns interest on this float, the money that it is implicitly borrowing. If Dell can earn an annual interest rate of 4%, what is this float worth to Dell per dollar spent on inputs?The price of a bond with no expiration date is originally $1,000 and has a fixed annual interest payment of $150. If the price of the bond then falls by $250, what will be the interest rate yield to a new buyer of the bond?Suppose a bond makes $150 coupon payments at the end of the next two years, at which time the face value of $1,000 is repaid. If the interest rate is 8 percent, then what is the present value of the bond? The present value (PV) of the bond is $1124.83. (Enter your response rounded to two decimal places.)
