Effective duration and convexity, Financial Management

Assignment Help:

Effective Duration and Convexity

The modified duration is a measure of the sensitivity of a bond's price to interest rate changes; the assumption made here is that the expected cash flow does not change with the interest rates. In the case of a callable bond, the cash flow does change with the interest rates. Then modified duration may not be appropriate to measure the price volatility of such bonds. If the rate of interest falls, the expected cash flow for a callable bond may change. Thus it may be concluded that modified duration is not an appropriate measure of price sensitivity to interest rate changes.

If P0 is the initial price and P1 is the price level to which it is reduced on account of a small increase in the yield (Dy) and the price increases to a level of P2 on account of a small decrease in the yield (Dy) then the approximate duration is given by the formula,
Approximate duration = 1942_Effective Duration and Convexity.png

where y is used in the decimal form. It can be observed that the formula measures the average percentage price change relative to the initial price per basis point change in the yield.

When this formula is used for a non-callable bond, it gives the modified duration since there is no change in the cash flow due to change in the yield. But when this formula is used for a callable bond, i.e., a bond embedded with an option, the new prices at the higher and lower yield levels should reflect the value from the valuation model. Duration calculated in this method is called effective duration or option-adjusted duration.

We may summarize the relationships among the duration, modified duration and the effective duration on the following lines:

  • Duration is a generic concept that indicates a bond's response to a change in interest rates.
  • Modified duration is a measure of duration in which it is assumed that the cash flows do not change with change in the yield.
  • Effective duration measures the sensitivity of the bond's price considering that the expected cash flows change on account of changes in the yield due to the option available with it.

 


Related Discussions:- Effective duration and convexity

State the types of integration, State the Types of integration ...

State the Types of integration Types of integration Horizontal Target company has same operations, and is in the same industry

Economic order quantity, annual uasage of stock 100,000units carrying ...

annual uasage of stock 100,000units carrying cost per unit of stock RM2 order cost RM250 question there is a constraint arising from the floor space of the

What are government intervention in chromex plc, Government intervention ...

Government intervention The government might look for intervene in the take-over bid because of fears that the market share of the combined group would constitute a monopoly wh

Leverage, What is the importance of leverage in business management of a sm...

What is the importance of leverage in business management of a small scale company

Provisions for paying off bonds, The issuer of the bond has to repay ...

The issuer of the bond has to repay the bondholders the principal by the stated maturity date. This can be repaid by the issuer in one lumpsum payment at the matu

Ratio analysis and company valuation, As an investment advisor, you have be...

As an investment advisor, you have been approached by a group of professional investors (probably who already have a well-diversified portfolio). They are considering investing in

Define how does accounts receivable factoring work, How does accounts recei...

How does accounts receivable factoring work?  What are the benefits to the two parties involved?  What are the risks? Factoring is while one firm sells accounts receivable that i

Documenting the accounting system, Documenting the accounting system Th...

Documenting the accounting system There are 3 methods generally used to document the clients system. Narrative notes: Written description of the system Advantages:- C

Compare and contrast mutual and stockholder-owned savings, Compare and cont...

Compare and contrast mutual and stockholder-owned savings and loan associations. Some loan and savings associations are owned by stockholders, just as commercial banks and oth

Valuing semi-annual cash flows, In all previous illustrations, we ass...

In all previous illustrations, we assumed that coupon payments are paid on annual basis. However, most of the bonds carry interest payment semi-annually. Semi-ann

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