(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain unchanged. What will be the price of the consol today? (b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i'> i? (c) Suppose alternatively that the market expects that the interest rate will change to i' after the initial period. What is the initial value of the consol, and what is the yield from selling it after one period?
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:
(a) You hold a consol that pays a coupon C in perpetuity. The current interest rate is i, and the average expectation in the market is that this will remain
unchanged. What will be the price of the consol today?
(b) In the next period however, the interest rate changes unexpectedly to i'. What is the new price of the bond? If the bond is sold at the beginning of that next period, what is the yield from the consol? Does the yield increase or decrease if i'> i?
(c) Suppose alternatively that the market expects that the interest rate will change to i' after the initial period. What is the initial value of the consol, and what
is the yield from selling it after one period?
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