Liquidity premium theory: Some possible shapes • Consider the current interest rate of 5% and the following one-year interest rates expected to arise over the next four years: 6%, 7%, 8% and 9%. Assume that investors have a preference for holding short-term bonds, and as such charge the following liquidity premia for one to five year bonds: 0%, 0.25%, 0.5%, 0.75% and 1.0% Question: Calculate the interest rate on bonds with one to year maturities based on the liquidity premium theory. five

Liquidity premium theory: Some possible shapes • Consider the current interest rate of 5% and the following one-year interest rates expected to arise over the next four years: 6%, 7%, 8% and 9%. Assume that investors have a preference for holding short-term bonds, and as such charge the following liquidity premia for one to five year bonds: 0%, 0.25%, 0.5%, 0.75% and 1.0% Question: Calculate the interest rate on bonds with one to year maturities based on the liquidity premium theory. five

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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Finance Suppose that the price of 3-year zero-coupon bonds is 1000 pounds. What is the forward rate for the third year? How would you construct a synthetic 1-year forward loan that commences at t= 2 and matures at t= 3
Exploring Finance: Coupon Bonds. Coupon Bonds Conceptual Overview: Explore the value of fixed-interest coupon bonds of different terms. This graph shows the value of 10% coupon bonds of different terms across differing market interest rates. Each bond pays INT = $100 at the end of each year and returns M = $1,000 at maturity. For comparison, the blue line depicts the value of a one-year bond. The term of the other bond in years may be changed using the slider. Drag on the graph to change the current market interest rate (rd) at which the bond (orange curve) is evaluated. 5. For a 10%, $1,000 coupon bond, a longer term bond (say, 15 years) is: less affected by changes in the market rate than a 1-year bond. affected the same by changes in the market rate than a 1-year bond. more affected by changes in the market rate than a 1-year bond. Cannot be determined.
Solve these 2 practice problems
Bond The effect of coupon rate (PMT) on interest rate sensiti 10-year, 10% annual coupor 10-year, 20% annual coupon 10-year, zero coupon 0 The effect of time to maturity on interest rate sensitivit 10-year, 15% annual coupon 5-year, 15% annual coupon Price @YTM-8% Price @YTM= 7% Percentage Change in price 1134.21 1210.66 6.74 463.2 508.3 9.74
4) A 10 year bond with $50, 000 face value has semiannual coupon rate 4% and semiannual yield rate 2%. Fill out the following amortization table. Principle Outstanding t Payment Interest герaid Balance 1 2 3 12
Suppose the current YTM on a 5-year T-Bond is 2.8% and the current YTM for a 1-year T-Bond is 0.75%. What is the 5-year term premium if the expected 1-year rates for thenext 4 years are 1.25%, 1.75%, 2.5%, and 3.25%?
None
eBook The real risk-free rate, r*, is 1.55%. Inflation is expected to average 2.25% a year for the next 4 years, after which time inflation is expected to average 3.3% a year. Assume that there is no maturity risk premium. An 11-year corporate bond has a yield of 11.45%, which includes a liquidity premium of 0.85%. What is its default risk premium? Do not round intermediate calculations. Round your answer to two decimal places. %
Question 2 Assume the yield curve is flat shown as following table. A cash and $duration-neutral butterfly is to be constructed by selling one thousand 7-year coupon paying bonds and purchasing qs and ql coupon paying bonds with maturities 3 and 15 years respectively. More information on the bonds to be used in the strategy is given Note that we are assuming all bonds pay interest semi-annually. (a) Explain how to interpret the modified duration of -8.86 corresponding to the 15-year maturity bond. (b) Write down the system of equations that needs to be solved in order to find qs and ql and verify that the solution to this system is qs = 679.32 and ql =366.23. (c) Find the profit from this strategy if yield curve moves: (i) up to 8% pa and (ii) down to 5% pa. (d) Explain why in practice it may be difficult to profit from the cash and $duration neutral butterfly. (e) Explain the major differences between the 50-50 butterfly strategy and the cash and $duration neutral butterfly.
Question A .Consider a 2-year, risk-free bond with a coupon rate of 6% (annual coupons) and a face value of $1,000. If the yield on the above bond is 6%: a. What is the Macaulay duration of this bond? b. If the yield increases to 7% immediately, what does the duration approximation predict will be the percentage change in the bond price? c. If the yield decreases to 5% instead, what is the approximate percentage change in the bond price implied by the bond’s duration? d. After receiving the first coupon payment in year 1, the yield increases to 7% and you decide to sell the bond. What is your annualized HPR? Full explain this question and text typing work only We should answer our question within 2 hours takes more time then we will reduce Rating Dont ignore this line
Maturity (years) 1 2 3 4 5Zero-coupon YTM 4.6% 5.0% 5.4% 5.8% 6.1% What is the price today of two-year, default-free security with a face value of $1000 and an annual coupon rate of 6%? Does this bond trade at a discount, at par, or at a premium?

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