optimal replication of contingent claims under portfolio constraints we determine the minimum cost of superreplicating a nonnegative contingent claim when there are convex constraints on portfolio weights we show that the optimal cost with constraints is equal to the price of a related claim without constraints the related claim is a dominating claim that is a claim whose payoffs are increased in an appropriate way relative to the original claim the results hold for a variety of options including some path dependent options constraints on the gamma of the replicating portfolio constraints on portfolio amounts and constraints on the number of shares are also considered article published by oxford university press on behalf of the society for financial studies in its journal the review of financial studies

tourism as a long run economic growth factor the spanish case this paper examines the role of tourism in the spanish long run economic development the tourism led growth hypothesis is confirmed through cointegration and causality testing the results indicate that at least during the last three decades economic growth in spain has been sensible to persistent expansion of international tourism the increase of this activity has produced multiplier effects over time external competitivity has also been proved in the model to be a fundamental variable for spanish economic growth from the empirical analysis it can be inferred the positive effects on income that government policy in the adequacy of supply as well as in the promotion of tourist activity may bring about

lp modeling for asset liability management a survey of choices and simplifications dynamic linear programming lp models for asset liability management alm are quite powerful and flexible but face two challenges 1 many modeling choices not all consistent with one another or with finance theory and 2 solution difficulties due to the large number of scenarios obtained from standard interest rate models we first survey these modeling choices with a view to help researchers make self consistent choices next we review how the dynamic lp model for alm and the representation of uncertainty therein have been simplified in the past to motivate new or hybrid models emphasizing tractability to this end we review existing static lp models as extreme modeling simplifications and aggregation as a simplification of uncertainty

valuing non market goods using contingent valuation abstract contingent valuation is a technique being developed by economists for the valuation of environmental commodities not traded in markets this paper discusses the major problem areas associated with this method of value estimation these comprise bias strategic hypothetical and design biases the discrepancy between willingness to pay and compensation demanded the aggregation procedure the choice of question format and non use values some evidence from comparative studies is reported and comments made on the accuracy of contingent valuation answers finally the conditions under which contingent valuation seems to operate best are set out

on the mean variance tradeoff in option replication with transactions costs this paper analyzes the tradeoff between cost and risk of discretely rebalanced option hedges in the presence of transactions costs i present closed form solutions for expected hedging error transactions costs and variance of the cash flow from a time based hedging strategy similar to that analyzed by leland 1985 furthermore i characterize the cost and risk of a move based hedging strategy without resorting to monte carlo simulations all results are sufficiently general to accommodate the use of a transactions costs adjusted hedging volatility and an asset rate of return that differs from the risk free rate of return

option replication in discrete time with transaction costs option replication is discussed in a discrete time framework with transaction costs the model represents an extension of the cox ross rubinstein binomial option pricing model to cover the case of proportional transaction costs the method proceeds by constructing the appropriate replicating portfolio at each trading interval numerical values of these prices are presented for a range of parameter values the paper derives a simple black scholes type approximation for the option prices with transaction costs and demonstrates numerically that it is quite accurate for plausible parameter values

pricing and hedging in incomplete markets abstract we present a new approach for positioning pricing and hedging in incomplete markets that bridges standard arbitrage pricing and expected utility maximization our approach for determining whether an investor should undertake a particular position involves specifying a set of probability measures and associated floors which expected payoffs must exceed in order for the investor to consider the hedged and financed investment to be acceptable by assuming that the liquid assets are priced so that each portfolio of assets has negative expected return under at least one measure we derive a counterpart to the first fundamental theorem of asset pricing we also derive a counterpart to the second fundamental theorem which leads to unique derivative security pricing and hedging even though markets are incomplete for products that are not spanned by the liquid assets of the economy we show how our methodology provides more realistic bid ask spreads

trading cost the critical link between investment information and results 1983 trading cost the critical link between investment information and results financial analysts journal vol 39 no 3 pp 39 44

utility based option evaluation with proportional transaction costs abstract we examine the problem of finding investors reservation prices of european contingent claims in a continuous time finite horizon economy with proportional transaction costs we derive analytically numerous properties of reservation prices reflecting their dependency on the size of the option position the risk aversion and the initial wealth for the special case of hara utility functions we consider the so called marginal reservation prices i e unit reservation prices of infinitesimal positions of the contingent claim and prove that these are independent of the initial wealth and the parameters of the utility function except for the exponent furthermore we present numerical examples suggesting that the marginal reservation prices are for reasonable parameter values insensitive to the drift of the underlying security and the exponent of the hara utility function

expected gain loss pricing and hedging of contingent claims in incomplete markets by linear programming abstract we analyze the problem of pricing and hedging contingent claims in the multi period discrete time discrete state case using the concept of a gain loss ratio opportunity pricing results somewhat different from but reminiscent of the arbitrage pricing theorems of mathematical finance are obtained our analysis provides tighter price bounds on the contingent claim in an incomplete market which may converge to a unique price for a specific value of a gain loss preference parameter imposed by the market while the hedging policies may be different for different sides of the same trade the results are obtained in the simpler framework of stochastic linear programming in a multi period setting and have the appealing feature of being very simple to derive and to articulate even for the non specialist they also extend to markets with transaction costs

an exact solution to a dynamic portfolio choice problem under transactions costs the presence of any friction in financial markets qualitatively changes the nature of the optimization problem faced by an investor it requires one to either act or do nothing an issue which of course does not arise in frictionless situations the investor considered here accumulates wealth without consuming until some terminal point in time when he consumes all his objective is to maximize the expected utility derived from that terminal consumption we postpone the terminal point far into the future to obtain a stationary portfolio rule the portfolio policy is in the form of two control barriers between which portfolio proportions are allowed to fluctuate we show how to calculate them

hedging options under transaction costs and stochastic volatility in this paper we consider the problem of hedging contingent claims on a stock under transaction costs and stochastic volatility extensive research has clearly demonstrated that the volatility of most stocks is not constant over time as small changes of the volatility can have a major impact on the value of contingent claims hedging strategies should try to eliminate this volatility risk we propose a stochastic optimization model for hedging contingent claims that takes into account the effects of stochastic volatility transaction costs and trading restrictions simulation results show that our approach could improve performance considerably compared to traditional hedging strategies

option pricing and replication with transactions costs transactions costs invalidate the black scholes arbitrage argument for option pricing since continuous revision implies infinite trading discrete revision using black scholes deltas generates errors which are correlated with the market and do not approach zero with more frequent revision when transactions costs are included this paper develops a modified option replicating strategy which depends on the size of transactions costs and the frequency of revision hedging errors are uncorrelated with the market and approach zero with more frequent revision the technique permits calculation of the transactions costs of option replication and provides bounds on option prices

the american put under transactions costs abstract this paper examines the optimal super replication of american put options with physical delivery of the underlying asset such as stock options by means of a stock plus riskless asset portfolio the framework of the analysis is the binomial model with proportional transactions costs on stock transactions the paper extends the model for european options originally presented in merton geneva papers risk insurance 14 1989 225 and boyle and vorst j of finance 47 1992 271 and generalized in bensaid et al math finance 2 1992 63 the optimizing framework of this latter study is adapted to put options held by investors and perfectly hedged by a market maker and to put options written by investors and both held and hedged perfectly by a market maker it is shown that a unique optimal super replicating portfolio exists at every node of the binomial tree for the long option as well as for the short option when transactions costs are low

optimality of myopic strategies for multi stock discrete time market with management costs the paper studies multi stock discrete time market models with serial correlations and with some management costs we found a market structure that ensures that the optimal strategy is myopic for the case of either power or log utility function

optimal replication of options with transactions costs and trading restrictions this paper analyzes the strategy that minimizes the initial cost of replicating a contingent claim in a market with transactions costs and trading constraints the linear programming and two stage backward recursive models developed are applicable to the replication of convex as well as nonconvex payoffs and to a portfolio of options with different maturities the paper s formulation conveniently accounts for fixed and variable transactions costs lot size constraints and position limits on trading the article shows that in the presence of trading frictions it is no longer optimal to revise one s portfolio in each period at the optimum cash flows in excess of the desired ones may be generated the optimal policy trades off the curvature of the payoff that is generated against the terminal slack

stochastic dominance bounds on derivatives prices in a multiperiod economy with proportional transaction costs by applying stochastic dominance arguments upper bounds on the reservation write price of european calls and puts and lower bounds on the reservation purchase price of these derivatives are derived in the presence of proportional transaction costs incurred in trading the underlying security the primary contribution is the derivation of bounds when intermediate trading in the underlying security is allowed over the life of the option a tight upper bound is derived on the reservation write price of a call and a tight lower bound is derived on the reservation purchase price of a put these results jointly impose tight upper and lower bounds on the implied volatility

pricing options in an extended black scholes economy with illiquidity theory and empirical evidence this article studies the pricing of options in an extended black scholes economy in which the underlying asset is not perfectly liquid the resulting liquidity risk is modeled as a stochastic supply curve with the transaction price being a function of the trade size consistent with the market microstructure literature the supply curve is upward sloping with purchases executed at higher prices and sales at lower prices optimal discrete time hedging strategies are then derived empirical evidence reveals a significant liquidity cost intrinsic to every option copyright 2006 oxford university press

hedging demands in hedging contingent claims minimum variance hedging of a contingent claim in discrete time is suboptimal when the contingent claim is hedged for multiple periods and the objective is to maximize the expected utility of cumulative hedging errors this is because the hedging errors are not independent the difference between a minimum variance hedge and the optimal multiperiod hedge is called the hedging demand and depends on the hedger s preferences the characteristics of the contingent claim the trading frequency and horizon and most importantly the joint distribution of the contingent claim and the underlying security prices since modeling this joint distribution is empirically controversial i examine nonparametrically the economic importance of hedging demands in the case of hedging standard poor s 500 index options

hedging derivative securities and incomplete markets an e arbitrage approach given a european derivative security with an arbitrary payoff function and a corresponding set of underlying securities on which the derivative security is based we solve the optimal replication problem find a self financing dynamic portfolio strategy involving only the underlying securities that most closely approximates the payoff function at maturity by applying stochastic dynamic programming to the minimization of a mean squared error loss function under markov state dynamics we derive recursive expressions for the optimal replication strategy that are readily implemented in practice the approximation error or e of the optimal replication strategy is also given recursively and may be used to quantify the degree of market incompleteness to investigate the practical significance of these e arbitrage strategies we consider several numerical examples including path dependent options and options on assets with stochastic volatility and jumps