Suppose that the term structure of interest rates is: t 0.5 1 1.5 2 r 1% 1.2% 1.4% 1.8% Interest rates are annual interest rates that are semi-annually compounded. 1. Calculate the price and modified duration of a 1-year bond with a 6% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 2. Calculate the price and modified duration of a 2-year bond with a 10% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 3. Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?

Suppose that the term structure of interest rates is: t 0.5 1 1.5 2 r 1% 1.2% 1.4% 1.8% Interest rates are annual interest rates that are semi-annually compounded. 1. Calculate the price and modified duration of a 1-year bond with a 6% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 2. Calculate the price and modified duration of a 2-year bond with a 10% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 3. Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?

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 you can observe that 1-year bond interest rate is 4%, 2-year bond interest rate is 8%, and 3-year bond interest rate is 10% at time t. It is also known that the term premium on a 2-year bond is 1% and the term premium on a 3-year bond is 1.5%. a) What are the market's expected 1-year bond interest rates for the next two years from time t? b) How to interpret those expected short-term interest rates? (what would be the "possible" economic meanings in the expected short- term interest rates?) Discuss as least two "candidates" to explain them.
Suppose the real risk-free rate of interest is 2%. Inflation is expected to be 2% for 2 years and then 3% thereafter. The maturity risk premium is 0.2% (t). where t is the number of years until maturity. The default risk premium is 2%. The liquidity premium is 1%. What is the nominal interest rate on a 4 year bond? 9.1% 7.8% 7.1%
Suppose that the term structure of interest rates is: Interest rates are annual interest rates that are semi-annually compounded. Calculate the price and modified duration of a 1 -year bond with a 6% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 Calculate the price and modified duration of a 2 -year bond with a 10% coupon rate, with coupons paid semi-annually. The bond has a face value of 100.0 Compare your results from 1 and 2 above. Which bond is more sensitive to changes in interest rates?
K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): 0 2 5 Period $19.53 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? Cash Flows View an example Get more help. ★ a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) A 6 1 MacBook Pro & 7 $19.53 * 8 9 C 59 $19.53 60 $19.53+$1,000 Clear all BUB 0 {
Suppose the current interest rate on a one-year bond is 2% and the current interest rate on a two-year bond is 4%. The term premium on a two-year bond is 1%. According to the expectations hypothesis, what interest rate should we expect on a one-year bond next year? Answer as a percentage to one decimal place and do not include symbols (e.g. $, %, commas) in your answer. Answer:
A bond quotes a rate of return of 5% and will pay $1,000 in one year with a probability of 42% and $0 with a probability of 58%. part A)What is the time premium? part B)What is the default premium?
Suppose a bond is priced at $1108, has 18 years remaining until maturity, and has a 8% coupon, paid monthly. What is the amount of the next interest payment (in $ dollars)? $__________.
Suppose the current one-year interest rate is 3%. Also assume that financial markets expect the one-year interest rate next year to be 4%, and expect the one-year rate to be 5% the year after that. Given this information, the yield to maturity on a three-year bond will be approximately 15% OA. 5% В. Ос. 6% 12% O D. O E 4%
Consider information on the following bonds (with face value 100): Bond Maturity (years) Coupon rate Yield-to-maturity А 1 0% 5.0% В 2 5% 5.5% C 3 6% 6.0% Coupons are paid annually. What is the three-year spot interest rate?
K Assume that a bond will make payments every six months as shown on the following timeline (using six-month periods): Period 0 2 Cash Flows $19.12 $19.12 a. What is the maturity of the bond (in years)? b. What is the coupon rate (as a percentage)? c. What is the face value? a. What is the maturity of the bond (in years)? The maturity is years. (Round to the nearest integer.) 39 $19.12
According to the expectations theory of the term structure of interest, if the 1-year bond rate today is 6% p.a. and the 2-year bond rate today is 7% p.a., what is the 1-year bond rate next year? A. 6% B. 6.75% C. 7.5% D. 8%
Assume that interest rate on a 182-day, $1 million face value, T-Bill is currently selling at a discount rate of 4.15%. What is the price of the T-Bill? What is the realized or holding period return of the bond?

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