A Refined Binomial Lattice for Pricing American Asian Options

We present simple and fast algorithms for computing very tight upper and lower bounds on the prices of American Asian options in the binomial model. We introduce a new refined version of the Cox-Ross-Rubinstein (1979) binomial lattice of stock prices. Each node in the lattice is partitioned into nodelets, each of which represents all paths arriving at the node with a specific geometric stock price average. The upper bound uses an interpolation idea similar to the Hull-White (1993) method. From the backward-recursive upper-bound computation, we estimate a good exercise rule that is consistent with the refined lattice. This exercise rule is used to obtain a lower bound on the option price using a modification of a conditional-expectation based idea from Rogers-Shi (1995) and Chalasani-Jha-Varikooty (1998). Our algorithms run in time proportional to the number of nodelets in the refined lattice, which is smaller than n^4/20 for n > 14 periods.     

American option valuation using first-passage densities

This paper explores the advantages of pricing American options using the first-passage density of a Brownian motion to a curved barrier. First, we demonstrate that, under this approach, the exact computation of the optimal boundary becomes secondary. Consequently, a simple approximation to the optimal boundary suffices to obtain accurate prices. Moreover, the first-passage approach tends to give more accurate prices than the early-exercise-premium integral representation. We present two ways of implementing the approach. The first is based on an exact representation of the first-passage density. The second exploits the method of images, which gives us a family of barriers with first-passage densities given in closed form. Both methods are very easy to implement and give accurate prices. In particular, the images-based method is extremely accurate.     

The Trading Volume of Currency Options and the Spot Exchange Rate

This paper estimates the interrelation between the spot exchange rate of the Israeli currency, the new Israeli shekel, to the U.S. dollar, and the trading volumes of put and call options on the U.S. dollar in the Tel Aviv Stock Exchange. An increase in the trading volume of calls is positively correlated with an increase in the spot exchange rate of the dollar on the same day and the following day, but with a lower coefficient. Similarly, an increase in the trading volume of puts is related to a decrease in the spot price of the dollar on the same day of trade, with a smaller effect on the following day.     

Neutral Property Taxation Under Uncertainty

In a framework where no uncertainty arises, Arnott (J Publ Econ Theor 7:27–50, 2005) investigates a neutral property taxation policy that will not affect a landowner’s choices of capital intensity and timing of development. We investigate the same issue, but allow rents on structures to be stochastic over time. We assume that a regulator implements taxation on capital, vacant land, and post-development property so as to expropriate a certain ratio of pre-tax site value as well as to achieve neutrality. We find that the optimal taxation policy is to tax capital and subsidize properties before and after development. We also investigate how this optimal policy changes in response to changes in several exogenous forces related to demand and supply conditions of the real estate market.

Hedging American Options in Merton's Model: A Locally Risk Minimizing Approach

An interesting problem, related to American options in incomplete markets, is the possibility to select a preferable equivalent martingale measure in order to compute the prices. With this in mind, we consider a particular option that may be viewed as a finite collection of suitable European options and for which the minimal martingale measure permits the minimization of the local risk. Since this option is an approximation of the American put, the stability result presented, concerning the portfolio decomposition, also suggests an argument in favor of the minimal martingale measure in the American case.     

中国的创新经济与产权交易市场

中国经济在未来10年的发展模式,同产权交易市场的变革相关,研究如何将产权交易市场改造成为多层次资本市场体系的一部分,是促进投资发展的重要手段,也是中国经济形成创新发展模式的关键。