In this paper, we apply a mixed Monte Carlo and Quasi-Monte Carlo method, which we proposed in a previous paper, to problems from mathematical finance. We estimate the value of an European Call option and of an Asian option using our mixed method, under different horizont times. We assume that the stock price of the underlaying asset S = S(t) is driven by a Lévy process L(t). We compare our est...

We consider the Constant Elasticity of Variance (CEV) process, reviewing the relationships between its transition density and that of the non-central chi-squared distribution. When the CEV parameter exceeds one, the forward price process is a strictly local martingale, and the price of a plain vanilla European call option reflects this fact. We develop techniques for Monte Carlo simulation of t...

This article offers an analysis of financial incentives for landowners, conservation bank managers, and land developers under habitat regulations for land use. A financial option theory approach is used with call and put options as contracts for habitat conservation and exchange. The market for habitat is modeled as a stochastic game to derive the option price on habitat that allows for arbitra...

In this article, we deal European style option, with arbitrary payoff which includes both put and call options, on an asset whose price evolves as It?-McKean skew Brownian motion Azzalini skew-normal distribution. Initially, investigate a condition leads the to be martingale. Next, option show that if function is convex then so function. After this, finite satisfies partial differential equatio...

In the recent years, the distribution of possible future losses for portfolios, such as bonds or loans, exhibits strongly asymmetric behavior. In this paper, we have analyzed the effective portfolio risk management through a computational state space model by using particle filter through sequential estimation of volatility. The computational model comprises with Extended weight Moving Average ...

We provide a closed-form solution to the problem of computing the sharpest static-arbitrage upper bound on the price of a European basket option, given the prices of vanilla call options in the underlying securities. Unlike previous approaches to this problem, our solution technique is entirely based on linear programming. This also allows us to obtain an efficient (linearsize) linear programmi...

Here we develop an option pricing method for European options based on the Fourier-cosine series, and call it the COS method. The convergence rate of the COS method is exponential and the computational complexity is linear. It has a wide range of applicability for different underlying dynamics, including Lévy processes and Heston’s stochastic volatility model, and for various types of option co...

For its theoretical interest and strong impact on financial markets, option valuation is considered one of the cornerstones of contemporary mathematical finance. This paper specifically studies the valuation of exotic options with digital payoff and flexible payment plan. By means of the Incomplete Fourier Transform, the pricing problem is solved in order to find integral representations of the...

A semi-static replication method is introduced for pricing discretely sampled path-dependent options. It depends upon buying and selling options at the reset times of the option but does not involve trading at intervening times. The method is model independent in that it only depends upon the existence of a pricing function for vanilla call options which depends purely on current time, time to ...

A balance sheet structure including fixed assets, net working capital and risky long-term debt leads to a model for option pricing of the firm’s equity. Each of the financial components constitutes a source of risk. A hedge based on three distinct options and the stock enables risk neutral valuation and avoids the problems of lack of tradability of the assets and market incompleteness reflected...