In this paper we propose a Symmetrical Binomial Lattice Approach that is equivalent to the well-known and widely utilized Lattice of Cox, Ross & Rubinstein (1979) when modeling Geometric Brownian Motion type of processes, but can be utilized for a wide variety of other Markov style stochastic processes. This is due to the highly intuitive construction in which first the expected value expression of the process is directly used and the variance is modeled in a symmetrical lattice, which is added to the first. We then demonstrate its applicability with several Real Options examples, comparing to the Cox model.

The disposition effect is the tendency of investors to sell stocks early when the price increases and hold stocks longer when this price decreases. As a consequence, investors may lose opportunities to gain greater profits from a stock winner whose price continues to rise; in contrast, they can suffer greater loss when the stocks continue to decline. The disposition effect is a phenomenon widely studied in behavioral finance. There are two main competing theories attempting to explain this phenomenon: the prospect theory and the regret theory. Although both theories give a fairly comprehensive explanation, they fail to take into account the motivation of investors in making investment decisions. This paper seeks to make a critical review of both of the main theories as well as provide a new explanation related to the motivation of investors from the perspective of the regulatory-focus theory. Regulatory-focus theory explains that individuals can be categorized into two groups, i.e. the prevention group and the promotion group. Regulatory-focus theory adds a more specific explanation that the disposition effect is more likely to occur in the prevention rather than the promotion group. The explanation of the disposition effect based on regulatory-focus -is a novelty in this paper.

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