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What is the value of using relative references in macros; what is the value of not having references to specific cell ranges as happens with absolute references Consider the following example. If you wanted to automatically add totals to the second block of data in Figure 6-4, you would not be able to do it with the AddTotal macro. Why not Because this macro would continually add totals to the first block of data because it explicitly references cells A16 and D16. However, you can add totals to the second block of data if you format the second block with the AddTotalRelative macro. You simply need to select cell F1 this time and then run the macro from the Excel Macro dialog box. Because the macro applies the totals relative to the currently active cell, the totals are applied correctly. For this to work you simply need to ensure that you have selected the correct starting cell before running the macro and the block of data has the same number of rows and columns as the data on which you recorded the macro. Figure 6-7 shows how you run this macro from the Macro dialog box.

N} of smooth implied volatility surfaces : [mmin, mmax] [tmin, tmax] [0, ), one can apply principal component analysis (PCA), which is used to decompose (random) volatility surfaces into their principal empirically identi able factors9 Alexander (2001a) provides an excellent discussion of how to use PCA to model volatility smiles and skews,10 and shows how the rst three principal components in PCA can explain much of the variation in volatility skews Alexander (2000), for example, shows that during most of 1998, 80 to 90 percent of the total variation in the xed-maturity volatility skews of the Financial Times Stock Exchange (FTSE) 100 index can be explained by just three risk factors: parallel shifts, tilts, and curvature changes that are captured by the rst three principal components.

public void setLineItems( ArrayList oLineItems ) { moLineItems = oLineItems; } public void addLineItem( LineItem oLineItem ) { getLineItems().add( oLineItem ); }

The time series of smooth surfaces are then modeled as stationary random surfaces to which one applies a numerical procedure like Karhunen-Loeve decomposition in which each random surface, viewed as a random eld, can be expressed as a superposition of uncorrelated random variables, each of which is the product of a scalar random variable (an eigenvector) with a deterministic surface so that the surface has the representation: N t (m, ) = 0 (m, ) exp xk (t )fk k =1.

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