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2009, we can see some resumption of range to the volatility, but if you imagine a midline in the volatility for the rst quarter, you are looking at something like 45 percent in comparison to the third quarter of 2008 at around 20 percent average volatility We must be prepared to adjust to this increased level of volatility on a more permanent basis and make a new level be a part of trade construction, portfolio management, and risk control If at some point in the future volatility returns to normal, we can use the lessons learned from high volatility to be even more effective in periods of low volatility Another interesting demonstration of volatility shows the reaction to volatility demonstrated by the VIX index in Figure 35 Figure 35 is a chart from the iShares 20-year bond fund in the same period as the VIX chart in Figure 34 During the last quarter of 2008 there was a large exodus of cash from the equity market into safety areas,

where the superscript designates iterationHence,beforestartingthe methodwe areat tlre the "zero iteration" After the first iteration errorbecomes the

5:

F'-_

, "2

FIGURE 5-3

Ar"

Because eachsucceeding iterationhalvesthe error,a generalfbrmula relatingthe errorand r t h e n u r n b eo l ' i t e r a t i o nrs i s E (" - A-rt'

:,"r,(#)

Order Management realm (subset of object owner s objects)

058-59

(56)

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In Figure 5-3, a realm may be defined for objects in several schemas to support the concept of an order management application The application may use a privileged account to access sensitive customer purchasing information and PII information for employees In Figure 5-4, you can see a realm was created for a subset of the HR schema, where tables such as EMPLOYEES and EMP_DETAILS_VIEW can contain PII information and tables such as JOBS and JOB_HISTORY can include personal information such as an employee s salary In Figure 5-5, an entire Sales History schema is protected and may contain sensitive information used for SOX compliance and auditing

Let'stesttheformulaFor Example -54, initialinterval the wasAro : 200 - 50 : 150 After eisht iterations absolute the errorwAS tr-

which is the cause of the large price spike in the Treasury fund We can correlate almost exactly the peak in the S&P 500 option volatility from the VIX chart to the beginning of a period of increased volatility and massive in ux of cash into the debt market As volatility reached exceptional levels, the risk tolerance and con dence of investors caused the movement of funds from equity to debt It is clear that as investors began to feel the exceptional volatility in equities, the liquidation of equity assets began, and the money had to move to safer areas It is important to study volatility not only in the market you are attempting to trade in but also in related and opposing markets as well

Wecansubstitr-rte values Eq(56) give these into to n: log:(150/05859):8

FIGURE 5-4

I MATLAB providesthe I oq2 function to evaluatethc base-2logarithmdirectlylf the pocket calculatoror computerlanguage you are usinl doesnot includethe base-2logarithm as an intrinsic functionthis etluation showsa handy way to computc it ln general,log,,(,r) log(_r)/log(b) =

-------

Human Resources realm (multiple objects, multiple object owners)

Thus, if we knew beforehand that an error of lessthan 05859was acceptable, formula the tells us that eight iterationswould yield the desiredresult Although we haveemphasized useof relativeenors for obviousreasons, the therewill be caseswhere (usually through knowledgeof the problem context) you will be able to specifyan absolute errorFor these cases, bisection alongwith Eq (56)can providea useful root locationalgorithm 541 MATTAB M-file! bisecr An M-file to implement bisection displayed Fig 57 It is passed function(func) is in the (es) alongwith lower(x1) andupper(xu) guesses addition, optional ln an stopping criterion FIGURE 7 5 A n M J r l e o i m p l e m etn teb i s e c t i om e t h o d t h n

f unct ion Iroot, ea, iter I -bi secr (f unc, xl, xu, es, maxit, varargin) % bis;ect: r:oot Iocation zeroes ) : lroot,ea, iterl=bisec1,(func,xl,xu,es,maxit,p1,p2, % uses bisect-ion rnethod to find the root of func inpuL: func : name of function % ts xl , x r louer orrd pl,Fr gues:-s = 00001%) es = desired relative % erroi: (default (defaul t = s0) % maxiL = maximum allowabl e iterations pl,p ,, = additional parameters used by func % % output: r oot , rea L root ea = approximate : rlumbef of rter

Part II:

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