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A martingale is a class of betting strategies that originated from and were popular in 18th-century France. The simplest of these strategies was designed for a game in which the gambler wins the stake if a coin comes up heads and loses if it comes up tails.
In probability theory, a martingale is a sequence of random variables (i.e., a stochastic process) for which, at a particular time, the conditional expectation of the next value in the sequence is equal to the present value, regardless of all prior values. Stopped Brownian motion is an example of a martingale. It can model an even coin-toss ...
MetaTrader 4 Administrator - is designed to remotely manage the server settings. MetaTrader 4 Manager - designed to handle trade inquiries and manage customer accounts. MetaTrader 4 Data Center - a specialized proxy server and can be an intermediary between the server and client terminals. It reduces the price quote sending load on the main server.
where is the Radon–Nikodym derivative of with respect to , and therefore is still a martingale. [3] If in a financial market there is just one risk-neutral measure, then there is a unique arbitrage-free price for each asset in the market.
Martingale pricing is a pricing approach based on the notions of martingale and risk neutrality. The martingale pricing approach is a cornerstone of modern quantitative finance and can be applied to a variety of derivatives contracts, e.g. options , futures , interest rate derivatives , credit derivatives , etc.
Then is a stopping time with respect to the martingale (), so () is also a martingale, referred to as a stopped martingale. In particular, ( Y n ) n ∈ N {\displaystyle (Y_{n})_{n\in \mathbf {N} }} is a supermartingale which is bounded below, so by the martingale convergence theorem it converges pointwise almost surely to a random variable Y ...
MT4 ECN Bridge is a technology that allows a user to access the interbank foreign exchange market through the MetaTrader 4 (MT4) electronic trading platform.MT4 was designed to allow trading between a broker and its clients, so it did not provide for passing orders through to wholesale forex market via electronic communication networks (ECNs). [1]