This paper analyses the hedging decisions of an emerging economy which is exposed to market risks and whose debt contract is subject to collateral constraints. Within a sovereign debt model with default risk and endogenous collateral, we study the optimal choice of hedging instruments when both futures and non-linear derivatives are available. We examine in which way the hedging policy is affec...

The paper assesses the usefulness of selective hedging strategies when combined with forecast techniques in the live hog contract. The use of routine futures and options hedging is not attractive relative to a cash-only strategy. However, forecasting and hedging can contribute to price risk management improvement for risk-averse producers. Consistent with previous research, the results indicate...

This paper analyzes the performance of two hedging strategies on three different options when trading is limited to take place at discrete times. Specifically, we compare the mean, standard deviation, skewness, and kurtosis of the hedging error resulting from applying a delta hedge and mean square optimal hedge to a European call option, a digital call option, and a down-and-out barrier call op...

We study optimal hedging of barrier options using a combination of a static position in vanilla options and dynamic trading of the underlying asset. The problem reduces to computing the Fenchel-Legendre transform of the utility-indifference price as a function of the number of vanilla options used to hedge. Using the well-known duality between exponential utility and relative entropy, we provid...

We consider a strictly pathwise setting for Delta hedging exotic options, based on Föllmer’s pathwise Itô calculus. Price trajectories are d-dimensional continuous functions whose pathwise quadratic variations and covariations are determined by a given local volatility matrix. The existence of Delta hedging strategies in this pathwise setting is established via existence results for recursive s...

The paper deals with the valuation and the hedging of non path-dependent European options on one or several underlying assets in a model of an international economy allowing for both, interest rate risk and exchange rate risk. Using martingale theory and in particular the change of numeraire technique we provide a unified and easily applicable approach to pricing and hedging exchange options on...

The basic contracts traded on energy exchanges are swaps involving the delivery of electricity for fixed-rate payments over a certain period of time. The main objective of this article is to solve the quadratic hedging problem for European options on these swaps, known as electricity swaptions. We consider a general class of Hilbert space valued exponential jump-diffusion models. Since the forw...

We present a high-frequency based method for analyzing a one-period futures hedging problem. The realized hedge ratio is constructed by applying the realized regression with the R-squared coefficient as an ex-post performance measure. The asymptotic theory enables us to assess the parameter estimation risk of the hedge ratios. An empirical study is conducted on the S&P 500 index and their hedgi...

Nonzero transaction costs invalidate the Black-Scholes (1973) arbitrage argument based on continuous trading. Leland (1985) developed a hedging strategy which modifies the Black-Scholes hedging strategy with a volatility adjusted by the length of the rebalance interval and the rate of the proportional transaction cost. Leland claimed that the exact hedge could be achieved in the limit as the le...

Option pricing and hedging in a complete market are well-studied with nice results using martingale theories. However, they remain as open questions in incomplete markets. In particular, when the underlying processes involve jumps, there could be infinitely many martingale measures which give an interval of no-arbitrage prices instead of a unique one. Consequently, there is no martingale repres...