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

Explain that many u.s. firms simply do not hedge, Recent surveys of corpora...

Recent surveys of corporate exchange risk management practices point out that many U.S. firms simply do not hedge. How would you explain this result? Answer:  There can be severa

How to calculate correlation co-efficient, Q. How to calculate correlation ...

Q. How to calculate correlation co-efficient? The correlation co-efficient measures the nature and the extent of relationship between the stock market index return and the stoc

Explain arbitrage risk free arguments, The current market value of any real...

The current market value of any real or financial assets is the present value of the cash flows accruing to that asset discounted by a market determined risk-adjusted required rate

Calculate the future value of annuity, 1.  An investor is thinking of inves...

1.  An investor is thinking of investing in a recurring deposit scheme that offers an interest rate of 12% per annum. The investment that he is planning is for the higher education

Quarterly earnings studies, Quarterly Earnings Studies The Quarterly Ea...

Quarterly Earnings Studies The Quarterly Earnings Studies are a part of time-series analysis. These studies aim at predicting future returns for a stock based on publicly avail

Automatic reinvestment plan, Automatic Reinvestment Plan Like in the US...

Automatic Reinvestment Plan Like in the US, UTI India has also started this plan where the amount of dividend and other income accrued on mutual fund investments is automatical

Management of pension funds, Management of pension funds Employees Prov...

Management of pension funds Employees Provident Fund Organization (EPFO) is the major organization which deals with the pension system in India. The Employees' Provident Fund O

Cost of capital, Dividends are expected to grow at a constant rate of 5 per...

Dividends are expected to grow at a constant rate of 5 percent per year in the future. Firms last dividend was $1 and stock price 10 dollars the firms beta 1,2 the rate of return o

Explain implement budget-financial delegations, 1: How will you inform your...

1: How will you inform your managers and supervisors about budgets, reporting requirements and financial delegations? 2: What mechanism you will implement to ensure that there a

Why we measure a project''s risk as the change in the cv, Explain why we me...

Explain why we measure a project's risk as the change in the CV. We compute a project's risk as the change in the coefficient of variation for the reason that this focuses on t

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