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where U(t) is the median of the (lognormal) distribution for r at time t, (t) is the level of the short-rate volatility, and z(t) is the level of standard Brownian motion. U(t) and (t) are determined at each time step so that the model ts the observable yield and volatility curves. If we assume (t) is constant so that the model is build to t only the yield curve, then it is only necessary to determine the median U(t). The level of the short rate is then given by: r(t) = U(t)e( z(t)) If j follows a centralized binomial distribution, the process

The inverse of an m X m matrix [A] is an m X m matrix [B] having the property that [ A ] [ B ] = [ B ] [ A ] = [I] (A.3.1)

cation, and interoperability. Lately, SOAP application vendors have released their implementations providing support for the SOAP bindings, especially for the most popular industry standard protocols such as HTTP/S, JMS, and BEEP. Now, let s take a brief look at those popular SOAP bindings for industry protocols and their features.

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responding to and addressing risks An operational hands-on approach was very effective when organizations had centralized systems due to proximity Department and subject matter experts could be fully aware of the possible threats to the organization and have confidence in the risk management procedures in place This reliance on proximity has become a liability as organizations expand globally, embrace virtualization across the enterprise, and leverage grid computing environments from such vendors as IBM and Sun As a result of this expansion, organizations have begun to seek mature methods of managing the risks they face in a more complete fashion At some level, every organization has practiced risk management across the enterprise, as every process and procedure serves to mitigate a known risk Management of risk benefits the organization through the development of a holistic, conscious, and systematic approach to managing risk.

Enterprise risk management (ERM), the most familiar term for such a program, is an integrated and holistic approach to managing risks from the strategic perspective Such a risk awareness program must achieve several milestones to address the risks faced by the global enterprise in an appropriate manner Companies around the world are recognizing the importance of discovering and managing these risks throughout the organization Industry regulation groups and government legislation are beginning to recommend such self-evaluations In addition, the value of understanding and managing risks is also becoming a weighted measurement used by Standard & Poor s (S&P) and others in their credit ratings1 In fact, companies with ERM programs in place receive a higher rating than those without them When a single credit rating notch can mean billions of dollars in interest payments, the return on an ERM program is easy to see.

Business Impacts Organizations that employ a risk awareness process create a culture in which the whole control environment embraces the strategy and the aggressiveness of the organization The ability of the organization to compete effectively in the market reflects its ability to manage the risks it faces daily An organization can sustain a negative event due to a lack of safeguards, or debilitate itself with burdensome controls that affect its ability to compete A balance must be promoted and achieved that supports the organization as a whole consistently and confidently Organizations that do not fully understand the risks experience greater numbers of emergencies that result in projects being sidelined, staff working extra hours, and general failure to execute According to some studies, technology projects fail 70% of the time, and these include everything from small divisional projects to enterprise-wide customer relationship management (CRM) initiatives.

Web services provide the ability to use the common infrastructure of the Internet or World Wide Web to remotely execute programs that are distributed on machines located across the network. More concisely, a Web service is a computer program, function, or procedure that can be executed remotely by another computer program, using the same protocols and infrastructure that is used to deliver Web pages over the Internet. Today, when we speak of Web services, we are typically talking about the Simple Object Access Protocol (SOAP). SOAP is a messaging standard based on XML. SOAP messages can be exchanged through the Hypertext Transport Protocol (HTTP). SOAP messages normally represent remote procedure calls or the return values of remote procedure calls. A remote procedure call occurs when a program on one machine executes a function that runs on another machine.

2 An imbalance in the placement of controls of an organization results in strong controls being placed in certain areas and few.

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