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

Define the term- future cost and historical cost, Define the term- Future C...

Define the term- Future Cost and Historical Cost Future cost of capital refers to expected cost of funds to be raised to finance a project. In contrast, historical cost signifi

Otcei index, OTCEI-COMPOSITE INDEX The OTCEI index is a pure price inde...

OTCEI-COMPOSITE INDEX The OTCEI index is a pure price index. The sum of the prices of all shares as of June, 1993 is in the denominator. The current prices are in the numerator

Financing costs incorporated into capital budgeting analysis, How are finan...

How are financing costs generally incorporated into the capital budgeting analysis process? Financing costs are generally captured in the discount or hurdle rate while doing NPV

Expalin npv decision rule in basril plc, The NPV decision rule needs that a...

The NPV decision rule needs that a company invest in all projects that have a positive net present value. This presumes that sufficient funds are available for all incremental proj

Bonds, Explain what a bond is and discuss its nature as a "fi xed income" s...

Explain what a bond is and discuss its nature as a "fi xed income" security.Discuss important terms in relation to bonds as the "price", "maturity", "current yield", "yield to matu

Premium, The amount by which the market price exceeds the conversion ...

The amount by which the market price exceeds the conversion value or the investment value called the premium. When expressed as a percentage, it is given by,

price of the bond be if it is downgraded, Andrew Industries is contemplati...

Andrew Industries is contemplating issuing a 30-year bond with a coupon rate of 7% (annual coupon payments) and a face value of $1000. Andrew believes it can get a rating of A from

Computation of the cost of capital, Q. Computation of the cost of capital? ...

Q. Computation of the cost of capital? Computation of overall cost of capital of the firm invoices Cost of debts: debt may be issued at par , at premium or discount it may

None, Reacher Technology has consulted with investment bankers and determin...

Reacher Technology has consulted with investment bankers and determined the intere Reacher Technology has consulted with investment bankers and determined the interest rate it woul

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