CONVEXITY Definition

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CONVEXITY is the price change that occurs for a bond not accounted for or predicted by modified dU1"ation. Convexity explains why price change estimates using modified duration increase in error as the yield changes, generally by more than 100 basis points. Bonds with positive (negative) convexity have increased (decreased) duration as interest rates fall (rise). Bonds with positive convexity, such as those with put options, have returns higher than those predicted by duration alone. Mortgage-backed securities and callable bonds gener­ally have negative convexity, which means that the price increase predicted by duration for a steep rate decline is too high.

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NET PROFIT MARGIN (NPM Pre-Tax) incorporates all of the expenses associated with ordinary business (excluding taxes) thus is a measure of the overall operating efficiency of the firm prior to any tax considerations which may mask performance. For a business to be viable in the long term profits must be generated; making the net profit margin ratio one of the key performance indicators for any business. It is important to analyze the ratio over time. A variation in the ratio from year-to-year may be due to abnormal conditions or expenses which need to be addressed. A decline in the ratio over time may indicate a margin squeeze suggesting that productivity improvements may need to be initiated. In some cases, the costs of such improvements may lead to a further drop in the ratio or even losses before increased profitability is achieved. Formula: Net Earnings / Net Revenue

BUSINESS VALUATION is the act or process of determining the value of a business enterprise or ownership interest therein by determining the price that a hypothetical buyer would pay for a business under a given set of circumstances.

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