Consider the situation where zero rates, measured with continuous compounding,are as in the below table. Suppose that a two-year bond with a principal of $100provides coupons at the rate of 8% per annum semiannually. What is the theoreticalprice of the bond.Maturity (years) Zero rate (%) with continuous compounding0.551.061.572.08$99.60$99.25$99.02$99.89

To determine the theoretical price of a two-year bond with continuous compounding, we need to…

Answered: Consider the situation where zero…

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

See similar textbooks

Similar questions

You observe the following term structure: 1-year zero-coupon bond 2-year zero-coupon bond 3-year zero-coupon bond 4-year zero-coupon bond Effective Annual Required A Required B YTM Required: a. If you believe that the term structure next year will be the same as today's, calculate the return on (1) the 1-year zero and (ii) the 4- year zero. b. Which bond provides a greater expected 1-year return? 8.3% 8.4 8.5 8.6 Complete this question by entering your answers in the tabs below. One year return on 1-year bond One year return on 4-year bond If you believe that the term structure next year will be the same as today's, calculate the return on (i) the 1-year zero and (ii) the 4-year zero. Note: Do not round intermediate calculations. Round your answers to 1 decimal place. % %
Suppose the continuous forward rate is r(t) = 0.04 + 0.001t when a 8 year zero coupon bond is purchased. Six months later the forward rate is r(t) = 0.03 + 0.0013t and bond is sold. What is the return?
Assume that the real risk-free rate is 2.4% and that the maturity risk premium is zero. If a 1-year Treasury bond yield is 5.6% and a 2-year Treasury bond yields 6.3%. Calculate the yield using a geometric average. What is the 1-year interest rate that is expected for Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % What inflation rate is expected during Year 2? Do not round intermediate calculations. Round your answer to two decimal places. % Comment on why the average interest rate during the 2-year period differs from the 1-year interest rate expected for Year 2. The difference is due to the inflation rate reflected in the two interest rates. The inflation rate reflected in the interest rate on any security is the average rate of inflation expected over the security's life. The difference is due to the real risk-free rate reflected in the two interest rates. The real risk-free rate reflected in the interest rate on any security is the…
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%
K← Consider the case of a two-year discount bond-that is, a bond that pays no coupon and pays its face value after two years rather than one year. Suppose the face value of the bond is $1,000, and the price is $850. What is the bond's yield to maturity? The bond's yield to maturity is%. (Round your response to two decimal places.)
Suppose that the continuously compounded zero rates are listed in the table below: Maturity (Months) Zero Rate (%) 6 2 12 2.8 18 3.3 24 3.6 30 4.4 Estimate the price of a bond with a face value of $100 that will mature in 30 months and pays a coupon of 6% per annum semiannually. (Required precision: 0.01 +/- 0.01)
Suppose the interest rate on a 1-year T-bond is 2.60% and that on a 2-year T-bond is 4.50%. Assume that the pure expectations theory is NOT valid, and the MRP is zero for a 1-year T-bond but 0.30% for a 2-year bond. What is the equilibrium market forecast for 1-year rates 1 year from now? a. 4.7333% b. 5.1110% c. 5.2676% d. 5.5463% e. 5.8250%. Only typing answer Please explain step by step
2. Consider a 15-year semiannual floating rate bond with coupon rate determined with the following formula: Coupon rate = reference rate + 65bps What’s the discount margin of the bond if the bond price is 99.5730 and current reference rate is 9%?
A. Calculate the yield spread of the following floating rate bond: • Annual coupon rate = reference rate + 200 basis points• initial reference rate (annual) = 4%• The bond has a 10-year of term to maturity• Assume the bond’s par value = USD1000• The price of the bond = USD1,032.84 B. Suppose the new reference rate is decreased to 3% two years after the bond is issued. What is the price of the bond then?
The one-year spot rate z1 = 5% and the forward price for a one-year zero-coupon bond beginning in one year is 0.9346. Find the spot price (zero price) of a two-year zero-coupon bond.
The function s(t) = 0.16 − 0.04 e− t/4 provides the term structure of effective annual rates of zero coupon bonds of maturity t, with t in years. Find the following: (a) The effective annual rate of a 3 year zero coupon bond. (b) The 2-year forward effective annual rate for a one year period. (c) The forward effective annual rate for a one year period, 3 years forward. (d) The 3-year forward effective annual rate for a 3 month period. (e) The forward effective annual rate for a one day period, 3 years forward (the “overnight” rate).(Use 1/365 for a one-day period.)
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?

SEE MORE QUESTIONS

Recommended textbooks for you

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Essentials Of Investments

Finance

ISBN:

9781260013924

Author:

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

Publisher:

Mcgraw-hill Education,

FUNDAMENTALS OF CORPORATE FINANCE

Finance

ISBN:

9781260013962

Author:

BREALEY

Publisher:

RENT MCG

Financial Management: Theory & Practice

Finance

ISBN:

9781337909730

Author:

Brigham

Publisher:

Cengage

Foundations Of Finance

Finance

ISBN:

9780134897264

Author:

KEOWN, Arthur J., Martin, John D., PETTY, J. William

Publisher:

Pearson,

Fundamentals of Financial Management (MindTap Cou…

Finance

ISBN:

9781337395250

Author:

Eugene F. Brigham, Joel F. Houston

Publisher:

Cengage Learning

Corporate Finance (The Mcgraw-hill/Irwin Series i…

Finance

ISBN:

9780077861759

Author:

Stephen A. Ross Franco Modigliani Professor of Financial Economics Professor, Randolph W Westerfield Robert R. Dockson Deans Chair in Bus. Admin., Jeffrey Jaffe, Bradford D Jordan Professor

Publisher:

McGraw-Hill Education

SEE MORE TEXTBOOKS