(a) What are appropriate discount factors for 2 months and 8 months? (b) What are the spot rates, with semi-annual compounding, for 2 months and 8 months? (c) What would be a fair price for a bond, maturing on 25 March 2023, paying a 5% per annum coupon rate, with a semi-annual coupon? (d) Now suppose that you observed a bond, maturing on 25 Septem- ber 2023, paying a 1% per annum coupon rate (with semi-annual coupons), trading at a yield to maturity of 2.75%. Use the DMO formula to calculate the bond's price. (e) What is an appropriate discount factor for 25 September 2023? (f) Calculate forward rates (with semi-annual compounding) from 25 September 2022 to 25 March 2023, and from 25 March 2023 to 25 September 2023.
(a) What are appropriate discount factors for 2 months and 8 months? (b) What are the spot rates, with semi-annual compounding, for 2 months and 8 months? (c) What would be a fair price for a bond, maturing on 25 March 2023, paying a 5% per annum coupon rate, with a semi-annual coupon? (d) Now suppose that you observed a bond, maturing on 25 Septem- ber 2023, paying a 1% per annum coupon rate (with semi-annual coupons), trading at a yield to maturity of 2.75%. Use the DMO formula to calculate the bond's price. (e) What is an appropriate discount factor for 25 September 2023? (f) Calculate forward rates (with semi-annual compounding) from 25 September 2022 to 25 March 2023, and from 25 March 2023 to 25 September 2023.
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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Debenture Valuation
A debenture is a private and long-term debt instrument issued by financial, non-financial institutions, governments, or corporations. A debenture is classified as a type of bond, where the instrument carries a fixed rate of interest, commonly known as the ‘coupon rate.’ Debentures are documented in an indenture, clearly specifying the type of debenture, the rate and method of interest computation, and maturity date.
Note Valuation
It is the process to determine the value or worth of an asset, liability, debt of the company. It can be determined by many processes or techniques. Many factors can impact the valuation of an asset, liability, or the company, like:
Question
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Transcribed Image Text:1. It is 25 July 2022; you observe two treasury bills
Price
99.7985
25 March 2023 98.3855
Maturity
25 September 2022
(a) What are appropriate discount factors for 2 months and 8 months?
(b) What are the spot rates, with semi-annual compounding, for 2 months
and 8 months?
(c) What would be a fair price for a bond, maturing on 25 March 2023,
paying a 5% per annum coupon rate, with a semi-annual coupon?
(d) Now suppose that you observed a bond, maturing on 25 Septem-
ber 2023, paying a 1% per annum coupon rate (with semi-annual
coupons), trading at a yield to maturity of 2.75%. Use the DMO
formula to calculate the bond's price.
(e) What is an appropriate discount factor for 25 September 2023?
(f) Calculate forward rates (with semi-annual compounding) from 25
September 2022 to 25 March 2023, and from 25 March 2023 to 25
September 2023.
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