From Federal Reserve Economic Data (FRED), we have obtained spot zero rates as follows: Spot zero Year rate 0.5 2% 1 3% 1.5 2 4% 2.5 ? 3 5% We want to calculate the price of a 3-year bond which pays 10% coupon (semi-annual). The face value of the bond is $1,000. However, the problem is that we do not know 1.5-year and 2.5-year spot zero rates. If we use linear interpolation method, what are the 1.5-year and 2.5-year spot zero rates? The 1.5-year spot rate is 3.50% and 2.5-year spot rate is 4.50% The 1.5-year spot rate is 1.75% and 2.5-year spot rate is 2.25% The 1.5-year spot rate is 1.70% and 2.5-year spot rate is 2.20% The 1.5-year spot rate is 3.40% and 2.5-year spot rate is 4.40%

From Federal Reserve Economic Data (FRED), we have obtained spot zero rates as follows: Spot zero Year rate 0.5 2% 1 3% 1.5 2 4% 2.5 ? 3 5% We want to calculate the price of a 3-year bond which pays 10% coupon (semi-annual). The face value of the bond is $1,000. However, the problem is that we do not know 1.5-year and 2.5-year spot zero rates. If we use linear interpolation method, what are the 1.5-year and 2.5-year spot zero rates? The 1.5-year spot rate is 3.50% and 2.5-year spot rate is 4.50% The 1.5-year spot rate is 1.75% and 2.5-year spot rate is 2.25% The 1.5-year spot rate is 1.70% and 2.5-year spot rate is 2.20% The 1.5-year spot rate is 3.40% and 2.5-year spot rate is 4.40%

Essentials Of Investments

11th Edition

ISBN:9781260013924

Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.

Chapter1: Investments: Background And Issues

Section: Chapter Questions

Problem 1PS

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Suppose that the current one-year rate (one-year spot rate) and expected one-year government bonds over years 2, 3 and 4 are as follows: 1R1 = 4.80%, E(2r1) = 5.45%, E(3r1) = 5.95%, E(4r1) = 6.10% Assume that there are no liquidity premiums. To the nearest basis point, what is the current rate for the four-year-maturity government bond? 5.57% 5.62% 5.83% 6.10%
The yield curve currently observed in the market is as follows: y1 = 7%, Y2 = 8%, and yz = 9%. You are trying to decide between buying a two-year bond (Bond A) and three-year bond (Bond B), each of which is default-risk free and pays annual coupons of 8% per year. You strongly believe that yield curve in one year will become flat at 9%. Which one of the two bonds should you buy today if you plan to sell this bond in exactly one year (right after you receive the first coupon payment)? Assume interest is compounded annually, and each bond has a face value of $1,000. Bond B O Neither bond -- The expected total return of both bonds will be negative if interest rates increase to 9% in one year Bond A Both bonds provide the same return over a one year investment horizon A portfolio that invests 50% of your wealth in each bond provides the highest total expected return
Question What is meant by LIBOR and LIBID. Which is higher? The 6-month and 1-year zero rates are both 10% per annum. For a bond that has a life of 18 months and pays a coupon of 8% per annum (with semiannual payments and one having just been made), the yield is 10.4% per annum. What is the bond’s price? What is the 18-month zero rate? All rates are quoted with semiannual compounding.
Both Bond Bill and Bond Ted have 11.6 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 6 years to maturity, whereas Bond Ted has 23 years to maturity. Both bonds have a par value of 1,000. a. If interest rates suddenly rise by 3 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If rates were to suddenly fall by 3 percent instead, what would be the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Both Bond Bill and Bond Ted have 11.8 percent coupons, make semiannual payments, and are priced at par value. Bond Bill has 7 years to maturity, whereas Bond Ted has 24 years to maturity. Both bonds have a par value of 1,000. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? (A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16.) b. If rates were to suddenly fall by 2 percent instead, what would be the percentage change in the price of these bonds? (Do not round intermediate calculations and enter your answer as a percent rounded to 2 decimal places, e.g., 32.16.)
Suppose the current yield on a one-year zero-coupon bond is 4%, while the yield on a five-year zero-coupon bond is 6%. Neither bond has any risk of default. Suppose you plan to invest for one year. You will earn more over the year by investing in the five-year bond as long as its yield does not rise above what level? (Assume $1 face value bond.) Hint: It is best not to round intermediate calculations-make sure to carry at least four decimal places in intermediate calculations. Note: Assume annual compounding. The yield should not rise above %. (Round to two decimal places.)
Suppose the interest rate on a 1-year government bond is 3.00%, on a 4-year government bond is 3.50% and that on a 6-year government bond is 4.90%. What is the market's forecast for 2-year rates 4 years from now, assuming the pure expectations theory is correct? Show your work.
An insurance company must make payments to a customer of $10 million in one year and $4 million in five years. The yield curve is flat at 10%. a. If it wants to fully fund and immunize its obligation to this customer with a single issue of a zero-coupon bond, what maturity bond must it purchase? (Do not round intermediate calculations. Round your answer to 4 decimal places.) Maturity of zero coupon bond b. What must be the face value and market value of that zero-coupon bond? (Do not round intermediate calculations. Enter your answers in millions rounded to 2 decimal places.) Face value Market value years million million
Recall that on a one-year Treasury security the yield is 4.4600% and 6.6900% on a two-year Treasury security. Suppose the one-year security does not have a maturity risk premium, but the two-year security does and it is 0.4%. What is the market’s estimate of the one-year Treasury rate one year from now? (Note: Do not round your intermediate calculations.) 9.2933% 8.152% 10.353% 6.9292%
3. The following is a list of prices for zero-coupon bonds with different maturities and par value of $1,000. Suppose the interest rate is compounded once per year. Maturity (Years) Price ($) 970 960 910 870 1 2 3 4 Answer the following questions: (a) What is, according to the expectations theory, the one-year interest rate in the second year? (b) What is, according to the expectations theory, the one-year interest rate in the third year? (c) What is, according to the expectations theory, the one-year interest rate in the forth year?
Please show work without calc or excel. In other words the actual equation.
Bond J has a coupon rate of 5 percent. Bond K has a coupon rate of 15 percent. Both bonds have eight years to maturity, a par value of $1,000, and a YTM of 11 percent, and both make semiannual payments. a. If interest rates suddenly rise by 2 percent, what is the percentage change in the price of these bonds? Note: A negative answer should be indicated by a minus sign. Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. b. If interest rates suddenly fall by 2 percent instead, what is the percentage change in the price of these bonds? Note: Do not round intermediate calculations and enter your answers as a percent rounded to 2 decimal places, e.g., 32.16. a. Percentage change in price b. Percentage change in price Bond J % % Bond K % %

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