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and from all bond prices P(t, T) at time t we can reconstruct the whole zerocoupon interest-rate curve at the same time t, so that indeed the evolution of the whole curve is characterized by the evolution of the single quantity r. 1 While many single-factor models work well in practice, such as the BlackKarasinski, Hull-White (HW), and exponential Vasicek models, they are not satisfactory for models that have payoffs dependent on two or more correlated underlying factors such as two continuously compounded spot rates for bonds of different maturities (i.e., T1 and T2). Thus, if the payoff depends on two underlying factors that are terminally correlated, then their joint distribution depends on their correlation a consideration that a single-factor model cannot capture. In order to capture realistic correlation patterns, and thus covariance structures, multifactor models such as two-factor models are needed. Essentially, what this means is that the correlation in the model depends on, among other factors, instantaneously correlated sources of randomness between the factors (i.e., dz1dz2 = ). In practice, the optimal number of factors to use in a model is a trade-off between numerically ef cient implementation and the ability of the model to represent realistic correlation patterns and to adequately t to enough market data. For ex-

=PV(6.5%,5,0,25000,0)

In Step 4, you are clearing the Main worksheet before copying the recordset. This ensures that all data from the previous pull has been removed before bringing in fresh data.

A greedy or careless user can consume all of your hard disk space. Using the quota software package, you can limit the amount of disk space a user can consume. Quota software comes with Red Hat Linux systems, as well as with other Linux distributions. A full description of setting up quotas is outside the scope of this book. However, you can find out how to set up quotas in Red Hat Fedora and Enterprise Linux 4 Bible or in the Quota miniHOWTO (www.tldp.org/HOWTO/Quota.html).

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We can expand the analysis by calculating a currency effect for each country segment. Segment level currency effects are derived by comparing the benchmark segment currency return to the total average benchmark currency return, and then weighting the difference by the fund segment over- or underweight at the beginning of the period. Currency effect = ( Fund segment weight Benchmark segment weight ) ( Benchmark segment currency return Benchmark total currency return )

As mentioned, multimodal mobile communication devices have the potential to produce significant new business models, disruptions of existing mobile services, and ensuing regulatory changes required for the benefit of users and in the interest of public policy. Also as mentioned, quite a number of mobile devices, besides the laptop computer have more than one network interface. Figure 15.8 shows an example of a SIP UA for dual-mode PDAs and pocket computers. As more multimodal mobile devices are emerging in the market, SIP-based mobile communications are becoming more widespread. The major technical, interoperability, and standards approaches are still under development. We will present in the following sections some of these technologies and issues.

Thus, we get the LFM Blacklike (squared) swaption volatility (multiplied by Tn) that can be approximated by what is known as Rebonato s formula,

Sat/C3-03

WARC 92 &WRC 95&97

Although geostationary satellites are currently operating with an overall roundtrip propagation of about 250 or more milliseconds, the utilization of non-geostationary satellites with shorter delays may offer significant advantages, in particular when a high interactivity is required (e.g. voice transmission, interactive video, etc.). At first order, this time delay depends on the geometric length of the space link and is more favourable for low-Earth orbits than for geostationary orbits. Typical two-way propagation delays range from a few milliseconds at low altitudes, to several tens of milliseconds at medium altitudes and up to 250 milliseconds or more at geosynchronous altitudes. However, additional delays have to be added in a practical communication system, taking into account processing, buffering, switching delays, etc. that lead to increases over the geometric

This technique is very useful when you use formulas as a means to convert cells. For example, assume you have a list of names (in uppercase) in column A. You want to convert these names to proper case. In order to do so, you need to create formulas in a separate column; then convert the formulas to values and replace the original values in column A. The following steps illustrate how to do this. 1. Insert a new column after column A. 2. Insert the following formula into cell B1:

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