A binomial lattice based framework for the analysis of finite investment options with finite operational phase is developed. Solutions for European and American type finite horizon investment options with optimal capital structure and a multi-stage investment setting with multiple debt issues are discussed. The analysis shows that optimal leverage ratios are not affected by option moneyness at ...

Locational marginal pricing (LMP) is a widely employed method for pricing electricity in the wholesale electricity market. Although it is well known that the LMP mechanism is vulnerable to market manipulation, there is little literature providing a systematic analysis of this phenomenon. In the first part of this paper, we investigate the economic dispatch outcomes of the LMP mechanism with str...

In this paper, we present a non-commutative version of some portions of finance theory, including theory of arbitrage, asset princing, and optional decomposition in financial markets based on finite dimensional quantum probability spaces. The binomial model (or, the CRR-model) is studied in the non-commutative setting, and in particular, we prove that a single-step model in non-commutative sett...

In this paper, we discuss statistical families P with the property that if the distribution of a random variable X is in P, then so is the distribution of ZwBi(X, p) for 0%p%1. (Here we take ZwBi(X, p) to mean that given XZx, Z is a draw from the binomial distribution Bi(x, p).) It is said that the family is closed under binomial subsampling. We characterize such families in terms of probabilit...

Here we model the price of a stock in discrete time by a Markov chain of the recursive form Sn+1 = SnYn+1, n ≥ 0, where the {Yi} are iid with distribution P (Y = u) = p, P (Y = d) = 1 − p. Here 0 < d < 1 + r < u are constants with r the risk-free interest rate ((1 + r)x is the payoff you would receive one unit of time later if you bought $x worth of the risk-free asset (a bond for example, or p...

Financial derivatives are contracts concerning rights and obligations to engage in future transactions on some underlying financial instrument. A major concern in financial markets is to compute an expected value of such contracts as a basis for trading decisions. The Cox, Ross and Rubinstein (CRR) binomial tree model is a popular discrete approach to such computations, which requires time quad...

we derive closed formulas for the prices of european options andtheir sensitivities when the underlying asset follows a double-exponentialjump diffusion model, as considered by s. kou in 2002. this author hasderived the option price by making use of double series where each termrequires the computation of a sequence of special functions, such thatthe implementation remains difficult for a large...

considering the crucial role textbook evaluation plays in any educational system, this study evaluated 2 textbook series with respect to the identity options they offer to iranian learners of english. data were gathered based on reading passages, dialogues, and pictures of right path to english (rpe) and cambridge english for schools (ces). although this study is mainly qualitative in nature, q...

abstract     the major constraints of agricultural production in the south western coastal areas of bangladesh are soil and water salinity of varying degrees, lack of fresh water for irrigation, slow soil drying pattern which are being augmented further due to climate change, requires suitable options of farming systems and component technologies. the major constraints and potentials of agricul...