Modified duration versus effective duration, Financial Management

Assignment Help:

Modified duration is used to determine the percentage change in the bond's prices for a 100 basis point (1%) change in the yield. The underlying assumption is that the bond's expected cash flows would not change when yield changes. It means that to calculate the value of V- and V+ in equation (1) the same cash flows used for calculating V0 are used.

The assumption that cash flow would not change when yield changes is not true for all types of bonds. It is true in case of option-free bond but it is not applicable in case of putable and callable bonds. For example, the payments made by the Treasury Department to the holders of its obligations do not change when interest rates change. However, the same is not true for bond with embedded options. The expected cash flows may change significantly with the change in the yield.

Effective duration is a duration calculation for bonds with embedded options. Effective duration takes into account both the discounting at different interest rates and how the expected cash flow may change. Effective duration can be estimated using modified duration if the bond with embedded options behaves like an option-free bond. This behavior occurs when exercise of the embedded option would offer the investor no benefit. As such, the security's cash flows cannot be expected to change given a change in yield.   There can be huge difference between the modified duration and effective duration. For example, the modified duration for a callable bond could be 7, whereas the effective duration could be 5. Sometimes it may be the other way round, i.e for certain mortgage obligations the effective duration may be more than the modified duration. Therefore, we can conclude that the effective duration is a more appropriate measure in case of bonds with embedded options.


Related Discussions:- Modified duration versus effective duration

Stock valuation, Investors require an 11% return on a preferred stock that ...

Investors require an 11% return on a preferred stock that pays a $2.30 annual dividend.  What is the price

Public provident fund, Public Provident Fund (ppf) The Public Provident...

Public Provident Fund (ppf) The Public Provident Fund (PPF) scheme was started in 1968-69 with the aim to provide a financial instrument to workers in the unorganized sector to

Weak form level of efficiency-forms of efficiency, Weak form level of effic...

Weak form level of efficiency This level states that share prices fully reflect information in historic share price movement and patterns (past information/historic information

Review of career plans, Review of career plans: career plans, emerging out ...

Review of career plans: career plans, emerging out of career planning exercise, have long term orientation. A career plan is developed based on assumptions about how the environmen

Credit spreads and the valuation of non-treasury securities, It is not easy...

It is not easy to determine the theoretical value of non-treasury securities. However, we can use the treasury spot rate for the valuation of non-treasury security.

The selling process, The Selling Process The four key elements that con...

The Selling Process The four key elements that constitute the selling process are: (i) identification of prospective buyers, (ii) selection of the type of selling process to be

Differance between forward start option and a package, 1 Explain the differ...

1 Explain the difference between a forward start option and a package. Outperformance certificates are offered to investors by many European banks as a way of investing in a com

Explain the dividends and interest payments, Dividends and interest payment...

Dividends and interest payments Payment  of  dividends  and  interest  can  either  be  demonstrated under financing activities or  under operating activities. Sum of the 3

Importance of capital budgeting decision, Q. Importance of Capital Budgetin...

Q. Importance of Capital Budgeting Decision? 1. Such Decision affect the profitability of the Firm: - Capital Budgeting decision influences the long-term profitability of a fir

University , After read all the available information carefully, prepare a ...

After read all the available information carefully, prepare a two page (double-spaced) essay and answer the following questions: Assume that we have the following data: C=100+0.50Y

Write Your Message!

Captcha
Free Assignment Quote

Assured A++ Grade

Get guaranteed satisfaction & time on delivery in every assignment order you paid with us! We ensure premium quality solution document along with free turntin report!

All rights reserved! Copyrights ©2019-2020 ExpertsMind IT Educational Pvt Ltd