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Full Album. Caligula 1979 by Frank Black. Caligula (Unrated DVD). epub Caligula 1979 YIFY Caligula 1979 720p Uncensored Caligula 1979 720p Blu Ray.Ragnarsson–Peierls algorithm

Ragnarsson–Peierls algorithm (also known as Peierls’ algorithm or the two-phase method) is a pricing method used to approximate option pricing under uncertainty. The algorithm is most useful for approximating the value of path-dependent American options with a smaller number of Monte Carlo paths. This method is used as a subroutine in Monte Carlo methods to approximate the value of a Brownian path.

The algorithm was originally presented by Frederick S. Peierls in 1927. Ragnarsson derived an alternative algorithm in the early 1990s, and later improved this algorithm. He was awarded the Willem de Klerk Prize in 2001 for his work.

Algorithm
Consider an American option that is payed off at expiry when the asset price reaches a threshold x. The two-phase method is to firstly calculate the option value using a replicating portfolio approach. In this case, the value of an American put is given by

where x is the exercise price, T is the exercise time, S is the price of the underlying asset and r is the interest rate.

The second stage of the algorithm is to estimate the fair price of the option. For this, the option price is divided by the mean of the trajectories of the replicating portfolio.

See also

Black–Scholes equation
Contingent claim
Contingent claim (finance)
Equity-linked life insurance
Realized volatility

References

Category:Financial economics
Category:Monte Carlo methods in finance
Category:Pricing
Category:American optionsList of Montreal Canadiens seasons

This is a list of seasons completed by the Montreal Canadiens National Hockey League (NHL) franchise. This list documents the season-by-season records of the Canadiens’ franchise from 1917–18 to present, including playoff results.

The Montreal Canadiens originated as one of two National Hockey Association (NHA) franchises, founded in 1909. The NHA became the NHL in 1917. During