1. Assume the following information about a Treasury zero-coupon yield curve today:Maturity (years) Zero rates (%) Maturity (years) Zero rates (%)12.303.5022.7073.8032.904.0043.109.4.203.20104.30All rates above are with continuous compounding.a. Calculate the corresponding rates under semi-annual compounding.b. Calculate the price of a 4-year Treasury bond with face value S1,000 thatpays coupon annually at the coupon rate of 4%.c. If the government wants to issue a 5-year bond that pays coupon annuallyand priced at par (face value $1,000), what should be the amount of eachcoupon payment?

Table showing corresponding rates under semi annual compounding :

1. Assume the following information about a Treasury zero-coupon yield curve today: Maturity (years) Zero rates (%) Maturity (years) Zero rates (%) 2.30 3.50 2.70 3.80 4.00 4.20 4.30 1 2 3 4 5 All rates above are with continuous compounding. a. Calculate the corresponding rates under semi-annual compounding. Calculate the price of a 4-year Treasury bond with face value $1,000 that pays coupon annually at the coupon rate of 4%. b. c. If the government wants to issue a 5-year bond that pays coupon annually and priced at par (face value $1,000), what should be the amount of each coupon payment? 2.90 3.10 3.20 6 7 8 9 10

1. Assume the following information about a Treasury zero-coupon yield curve today: Maturity (years) Zero rates (%) Maturity (years) Zero rates (%) 2.30 3.50 2.70 3.80 4.00 4.20 4.30 1 2 3 4 5 All rates above are with continuous compounding. a. Calculate the corresponding rates under semi-annual compounding. Calculate the price of a 4-year Treasury bond with face value $1,000 that pays coupon annually at the coupon rate of 4%. b. c. If the government wants to issue a 5-year bond that pays coupon annually and priced at par (face value $1,000), what should be the amount of each coupon payment? 2.90 3.10 3.20 6 7 8 9 10

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

(i) Two types of risks faced by bodholders are interest rate risks and default risks? What are interest rate risks and default risks, and why might a bond exhibit more or less of these risks? (ii) You see a bond with the following characteristics: bond matures in 10 years coupon rate = 7% APR compounded semi-annually, paid semi-annually face value = $1000 bond price = $900 What is the yield to maturity (YTM) of this bond, stated as an APR with semi-annual compounding?
Suppose the real risk-free rate is 2.5%, the average future inflation rate is 2.3%, a maturity premium of 0.07% per year to maturity applies, i.e., MRP = 0.07% (t), where t is the years to maturity. Suppose also that a liquidity premium of 1% and a default risk premium of 0.7% applies to A-rated corporate bonds. How much higher would the rate of return be on a 7-year A-rated corporate bond than on a 5-year Treasury bond. Here we assume that the pure expectations theory is NOT valid. O 1.84% O 1.64% O 1.44% O 1.24% 1.04%
Please show work without calc or excel. In other words the actual equation.
The yield curve for default-free zero-coupon bonds is currently as follows: Maturity (years) YTM 1 9.8% 2 10.8 3 11.8 Required: a. What are the implied one-year forward rates? (Do not round intermediate calculations. Round your answers to 2 decimal places.) Maturity (years) YTM Forward rate 1 9.8% 2 3 10.8% 11.8% % % b. Assume that the pure expectations hypothesis of the term structure is correct. If market expectations are accurate, what will the pure yield curve (that is, the yields to maturity on one- and two-year zero-coupon bonds) be next year? O There will be a shift upwards in next year's curve. O There will be a shift downwards in next year's curve. O There will be no change in next year's curve. c. What will be the yield to maturity on two-year zeros? (Do not round intermediate calculations. Round your answers to 2 decimal places.) YTM % d. If you purchase a two-year zero-coupon bond now, what is the expected total rate of return over the next year? (Hint: Compute the current…
1. Assume the following information about a Treasury zero-coupon yield curve today: Maturity (years) Zero rates (%) Maturity (years) Zero rates (%) 1 2.30 6 3.50 2.70 7. 3.80 3. 2.90 8 4.00 4 3.10 9 4.20 3.20 10 4.30 All rates above are with continuous compounding. a. Calculate the corresponding rates under semi-annual compounding. b. Calculate the price of a 4-year Treasury bond with face value $1,000 that pays coupon annually at the coupon rate of 4%. c. If the government wants to issue a 5-year bond that pays coupon annually and priced at par (face value $1,000), what should be the amount of each coupon payment?
Duration and price sensitivity a) Calculate the duration and modified duration of a bond with a face of $1,000, a 6% coupon rate, and a 5% YTM with 1 payment per year and a maturity of 10 years, using the Excel DURATION and MDURATION formulas. b) Calculate the following: 1. What are the approximate percentage and dollar changes in price for a 1% change in interest rates using the duration approximation formula? 2. What are the actual percentage and dollar changes in price if interest rates increase by 1%?
The prices of zero-coupon bonds with various maturities are given: maturity in years price 1 975.66 2 885.89 3 821.92 4 759.20 5 670.20 A) How could you construct a 1-year forward loan beginning in year 3? face value = ? rate of synthetic loan = ? B) How could you construct a 1-year forward loan beginning in year 4? face value = ? rate of synthetic loan = ?
Suppose the real risk-free rate of interest is r=4% and it is expected to remain constant over time. Inflation is expected to be 1.60% per year for the next two years and 3.90% per year for the next three years. The maturity risk premium is 0.1 x (t-1) %, where t is number of years to maturity, a liquidity premium is 0.45%, and the default risk premium for a corporate bond is 1.40%, The average inflation during the first 4 years is What is the yield on a 4-year Treasury bond? O 6.75% O 8.90% O 4.30% O 7.05% What is the yield on a 4-year BBB-rated bond? O 7.50% O 7.05 % O 8.45% 8.90% If the yield on a 5-year Treasury bond is 7.38% and the yield on a 6-year Treasury bond is 7.83%, the expected inflation in 6 years is (Hint: Do not round intermediate calculations.)
Suppose you are given the following information about the default- free, coupon-paying yield curve: maturity (years) 1 Coupon rate (annual payments) 0% YTM 2 10% 3.000% 4.908% 3 6% 6.840% Use arbitrage to determine the yield to maturity of a two-year and three year zero-coupon bond . (express in percentages, round to whole percentage)
Assume the Liquidity Premium Theory of the Term Structure of Interest Rates holds. The WSJ quotes 0.25% annual yield on a one-year T-note and 0.5% annual yield on a two-year T-note. Suppose the annual yield on a one-year T-note is expected to stay at 0.25% over the next 2 years. What must be the liquidity premium on a two-year T-note?
Consider the characteristics of two annual pay bonds from the same issuer with the same priority in the event of default: You also observe the following spot interest rates from the current yield curve: Par value Coupons Maturity Coupon rate Yield to maturity Price Bond A $100 Annual 3 yrs 8% 10.25% 94.43 1 2 3 Bond B $100 Annual 3 yrs 4% 10.35% 84.31 Term (yrs) Spot Rates (zero coupon, %) 4% 7 10 Neither bond's price is consistent with the spot rates. Using the information in these displays, recommend either Bond A or Bond B for purchase. Justify your choice. Do not round intermediate calculations. Round your answers to the nearest cent. The non-arbitrage price of Bond A: $ The non-arbitrage price of Bond B: $ -Select- ✓ appears to be the better purchase.
Suppose you are considering two possible investment opportunities: a 12-year Treasury bond and a 7-year, AA-rated corporate bond. The current real risk-free rate is 3%, and inflation is expected to be 2% for the next 2 years, 3% for the following 4 years, and 4% thereafter. The maturity risk premium is estimated by this formula: MRP = 0.02(t - 1)%. The liquidity premium (LP) for the corporate bond is estimated to be 0.3%. You may determine the default risk premium (DRP), given the company's bond rating, from the following table. Remember to subtract the bond's LP from the corporate spread given in the table to arrive at the bond's DRP. Corporate Bond Yield Rate Spread = DRP + LP U.S. Treasury 0.73 % — AAA corporate 0.93 0.20 % AA corporate 1.33 0.60 A corporate 1.75 1.02 What yield would you predict for each of these two investments? Round your answers to three decimal places. 12-year Treasury yield: 6.553%----->correct 7-year Corporate yield: ? %…

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

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

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