Suppose that the continuously compounded zero rates are listed in the table below: Maturity (Months) Zero Rate (%) 6 2.1 12 2.9 18 3.2 24 3.6 30 4.2 Estimate the price of a bond with a face value of $100 that will mature in 30 months and pays a coupon of 7% per annum semiannually. (Required precision: 0.01 +/- 0.01)

Suppose that the continuously compounded zero rates are listed in the table below: Maturity (Months) Zero Rate (%) 6 2.1 12 2.9 18 3.2 24 3.6 30 4.2 Estimate the price of a bond with a face value of $100 that will mature in 30 months and pays a coupon of 7% per annum semiannually. (Required precision: 0.01 +/- 0.01)

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 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)
Assume the zero-coupon yields on default-free securities are as summarized in the following table: (Click on the following icon in order to copy its contents into a spreadsheet.) Maturity (years) Zero-coupon YTM 1 6.70% 2 7.10% 3 7.30% 4 7.70% 5 8.00% What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 5%? What is the yield to maturity for this bond? What is the price of a three-year, default-free security with a face value of $1,000 and an annual coupon rate of 5%? The price is $ (Round to the nearest cent.)
10) Suppose a coupon bond with 10 years remaining to maturity is reported to have a duration equal to 6.7 years. Assuming a current interest rate of 9% and an estimated decrease in the interest rate to 8.8%, calculate the estimated percentage increase in the bond's price. Hint: Duration= a) 3.3% b) 2.7% c) 1.2% d) 0.6% %AP Ai/(1+io)
The function s(t) = 0.03 + 0.003t gives the effective annual rate of a zero coupon bond of maturity 7, with t in years. Find the price of a 2 year coupon bond with semiannual coupons of 8.5% and a face/redemption value of $800,000.
You observe that one, two, and three-year maturity, default-free, zero-coupon bonds have YTM of 7%, 7.8%, and 7.5%, respectively. Based on the expectations theory, what is the implied one-year forward rate, two years from today? ⒸA. 8.62% OB 6.90% OC.8.12% O 0.7.39%
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 term structure for zero-coupon bonds is currently: Maturity (Years) YTM (%) 1 5.2% 2 6.2 3 7.2 Next year at this time, you expect it to be: Maturity (Years) YTM (%) 1 6.2% 2 7.2 3 8.2 Required: What do you expect the rate of return to be over the coming year on a 3-year zero-coupon bond? Under the expectations theory, what yields to maturity does the market expect to observe on 1- and 2-year zeros at the end of the year? Is the market's expectation of the return on the 3-year bond greater or less than yours?
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.
Suppose the real risk-free rate of interest is r*=4%�*=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×(t−1)%0.1×�−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 is2.37% . What is the yield on a 4-year Treasury bond? 4.30% 8.90% 6.75% 7.05% What is the yield on a 4-year BBB-rated bond? 8.90% 7.50% 7.05% 8.45% 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.)
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.)
Bond A has a coupon rate of 10.04 percent, a yield-to-maturity of 14.79 percent, and a face value of $1,000.00; matures in 8 years; and pays coupons annually with the next coupon expected in 1 year. What is (X+Y+Z) if X is the present value of any coupon payments expected to be made in 3 years from today, Y is the present value of any coupon payments expected to be made in 6 years from today, and Z is the present value of any coupon payments expected to be made in 9 years from today? An amount equal to or greater than $82.70 but less than $124.77 O An amount equal to or greater than $141.42 but less than $172.16 O An amount equal to or greater than $124.77 but less than $141.42 O An amount less than $82.70 or a rate greater than $229.36 An amount equal to or greater than $172.16 but less than $229.36
A one year zero coupon treasury bond yields 4.83% and a two year zero coupon treasury yields 4.88%. What is the expected 1 year interest rate 1 year from now, assuming no-arbitrage pricing and no liquidity premium? Enter answer in percents to 2 decimal places. For example, enter 14.15 for 14.15%.

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