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Unlike normal single-factor models like the Vasicek, Hull-White, and CIR, the BDT model does not have analytical tractability to generate explicit closed-form formulas for bond prices and bond option prices This is due to the lognormal structure of the BDT model To price interest rate derivatives, a short rate tree has to be built out until the end of the life of the instrument underlying the derivative In the BDT model, we assume that the initial yield and volatility curves are speci ed and known (ie, observable in the market), so that the prices for the discount bonds and their associate yield volatilities for each time step can be calculated We will build a binomial tree with risk-neutral probabilities that are equal to 1/2 for up and down branches The binomial tree works well for models that are described by Jamshidian (1991a) as Brownian path-independent.

The tree has i time steps, i = 0, , N, and j states at each step, j = i, i + 2, , i 2, i Thus, there are i + 1 states at each time step Node (i, j) represents state j at time step i At time step N, j has a centralized binomial distribution with mean 0 and variance N The tree is constructed so that at each node, the short rate r is determined so that it matches the initial speci ed market curves The initial rate r = r0,0 is just the yield on the bond that matures at the end of the rst period t The initial rate can either go up with probability 1/2 or down with probability 1/2.

In Step 1, you first declare four variables:

The next step is to choose the short rates, ru and rd, from an up movement to node u and a down movement to node d, to match the initial yield curve To match the initial yield curve, it is necessary to price a bond that matures in two periods, 2 t, so that the bond has a value of $1 in the three states at i = 2, uu, ud, and dd Denote yk, k = 1, , N, as the yield on a discount bond Pk with maturity k t; that is, Pk = e yk(k t) (111).

In order to get a unit diffusion coef cient and state independent volatility (which eases building lattices for the short rate), (12.76) needs to be transformed as follows: Y (r (t ), t ) =

Satellite Frequency bands (GHz): uplink/ downlink (polarization) Number of operational transponders (bandwidth, B, MHz) (transmitter power P, W) Coverage e.i.r.p. (edge of coverage - eoc) (dBW) G/T (eoc)

example, if you are testing a procedure or performing several repetitive operations) need to re-enter commands that are identical or similar to those you have previously entered. In this section, we ll introduce three commands which, over time, will save you a lot of time and countless keystrokes: history, fc, and ! (which is called bang ). All three can reduce your frustration and speed your progress, especially on those busier days.

In the DII client model, the client discovers the target service dynamically at runtime and then invokes its methods. Listing 10.15 is a code listing of a DII client (BookPriceServiceDIIClient.java).

Some of these sources do not provide FTP sites to download their products but do provide sources for inexpensive CD-ROM copies. We cannot leave the topic of Linux Online! without complimenting them on the Getting Started with Linux lesson found under the header Linux 101 on the home page. Bravo! Hopefully there will be more courses like this one to come.

connected, volumes of information on varied topics, such as technological guides, topic-specific data, and games, are available at the click of a mouse button. Bear in mind that this information is stored in the form of documents spread over thousands of computers all over the Internet. How are these documents linked so that they are accessible on the Internet They use the World Wide Web (WWW), an Internet service, as the architectural framework for accessing and linking documents.

Overloaded destinations require the message-driven beans and custom JMS code to perform checks for each message type and handle it appropriately. This means that every subscriber must understand the different messages, or at least know to ignore the ones it doesn t understand. This places a much higher requirement on you than if you have limited data models for your destination. Once developers get in the habit of destinations with multiple message types they will not hesitate to add new types. This can lead to problems in the case where you have a topic with multiple subscribers and not all of them are updated to the new message types. In short, the developers can break other subscribers too easily. The entire system is fragile.

Application processing delay (AD)