This article discusses convergence problems when calculating Vega (option sensitivity to volatility) that arise from discretization errors embedded in the lattice approach. Four alternative improvements to the traditional binomial method are discussed and investigated for performance. We also propose a new Modified Binomial (MB) Method to calculate Vegas. Numerical results show that although th...

Software pricing has traditionally been focused on the vendor’s internal business objectives of covering costs, achieving specified margins, and meeting the competition. Pricing methods such as flat price, tiered pricing, MIPS-based, usage-based, per user, per seat, and pay as you go, are often tactical in nature and easily matched by competitors, which can undermine profitability by accelerati...

This paper gives a probabilistic interpretation of a class of nite diierence schemes often referred to as the-method. In particular, the present paper shows that for some parameter values the-method can been seen as a binomial tree with a random time.

A special inequality between the tail probabilities of certain related hypergeometrics was shown by Seneta and Phipps [19] to suggest useful ‘quasi-exact’ alternatives to Fisher’s [5] Exact Test. With this result as motivation, two inequalities of Hájek and Havránek [6] are investigated in this paper and are generalised to produce inequalities in the form required. A parallel inequality in bino...

This research investigates how the price frame affects the consumer’s preference. Using qualitative methodology from the prospective of behavioral science, we find in the overall assessment of a product, the consumers have more selective attention and thus higher weight on secondary attributes under partitioned pricing than under combined pricing. That means in online selling, consumers pay mor...

The aim of this paper is to study the problem of optimality of replicating strategies associated with pricing of American contingent claims in the Cox–Ross–Rubinstein model with proportional transaction costs. We show that a replication of the option is always possible. We give sufficient conditions for the existence of a replicating strategy which is optimal, and also show an example of an opt...

Research ...nds that ...rms’ investment decisions are distorted by irreversibility and ...nance constraints. Whereas the existing literature examines the e¤ects of these features separately, this paper studies their interaction. The impact of these constraints on a ...rm’s incentive to invest is characterised using option pricing techniques. Financial constraints reduce the initial capacity, ra...

In this paper we highlight issues related to measuring ethnicity and ethnic identity. We base our discussion on an extensive review of the literature and an intensive consultation process undertaken as part of the development of the ethnicity focused strand of a major new UK panel study, Understanding Society. We conclude that ethnic identity is a multi-dimensional concept and its ideal measure...

In this paper we provide a closed-form approximation as well as a measure of the error for the price of several twodimensional derivatives under the assumptions of stochastic correlation and constant volatility. The method is applied to the pricing of Spread Options and Quantos Options, while three models for the stochatsic correlation are considered.

The theory of modular binomial lattices enables the simultaneous combinatorial analysis of finite sets, vector spaces, and chains. Within this theory three generalizations of Stifling numbers of the second kind, and of Lah numbers, are developed. 1. Stirling numbers and their formal generalizations The nota t ional convent ions of this paper are as follows: N = {0,1,2 . . . . }, P = {1,2,. . . ...