Catastrophe futures and reinsurance contracts: An incomplete markets approach

We present a theoretical methodology for the pricing of catastrophe (CAT) derivatives with event‐dependent and non‐convex payoffs given the price of a CAT indexed futures contract. We do not assume a fully diversifiable CAT event risk, nor do we assume knowledge of the martingale probability measure beyond the futures price. We derive tight bounds on the contract value and present trading strategies exploiting the mispricing whenever the bounds are violated. We estimate the bounds of the reinsurance contract with data from hurricane landings in Florida. Our method is also applicable when there is no futures market but the price of a CAT‐indexed bond is available.     

Competition, interlisting and market structure in options trading

This paper applies a game theory approach to examine the effects of a market structure change in options trading from a monopoly to a Cournot-type oligopoly that occurred in two successive periods on the Montreal exchange. We analyze the intra-day behaviour of option bid-ask spreads and find that cross-listing has a differential impact on spreads, affecting quoted but not effective spreads under oligopoly. We also find that the impact of the change in structure on effective spreads comes mostly from an increase in limit orders and is consistent with a switch from Cournot to Bertrand-type strategic behaviour for such orders. We conclude that market structure effects within an options exchange are enough to realize most of the benefits of inter-market competition even in the context of market thinness.     

PIP Transactions,Price Improvement,Informed Trades and Order Execution Quality

This study focuses on innovations in order execution processes within the context of the Boston Option Exchange (BOX). More specifically, it examines the impact of the Price Improvement Process (PIP) on options quoted, effective and realised proportional spreads. We consider the PIP as a mechanism that allows the market maker to ‘internalise’ the transaction. We show that PIP transactions are associated with wider bid/ask proportional quoted spreads than non‐PIP transactions, in spite of the temporary narrowing of the effective proportional spread during PIP. We identify informed traders by focusing on the direction of trade. Using an original data set, we show that PIP transactions follow signals in the form of buy/sell orders by informed traders. We also show that PIP is a mechanism that allows the market maker to internalise a position in the same direction as that of the informed trader. We conclude that PIP does not improve the efficiency of the market but simply allows the market maker to benefit at the expense of uninformed traders.     

Rezensionen

Ohne Zusammenfassung     

Mispriced index option portfolios

In model-free out-of-sample tests, we find that the optimal portfolio of a utility maximizing investor trading in the S&P500 Index, cash, and index options bought at ask and written at bid prices stochastically dominates the optimal portfolio without options and yields returns with higher mean and lower volatility in most months from 1990 to 2013. Unlike earlier claims of overpriced puts, our portfolios include mostly short calls and are particularly profitable when maturity is short and volatility is high. Similar results are obtained with the CAC and DAX indices. Neither priced factors nor a nonmonotonic stochastic discount factor explains the excess returns.     

Valuing catastrophe derivatives under limited diversification: A stochastic dominance approach

We present a new approach to the pricing of catastrophe event (CAT) derivatives that does not assume a fully diversifiable event risk. Instead, we assume that the event occurrence and intensity affect the return of the market portfolio of an agent that trades in the event derivatives. Based on this approach, we derive values for a CAT option and a reinsurance contract on an insurer’s assets using recent results from the option pricing literature. We show that the assumption of unsystematic event risk seriously underprices the CAT option. Last, we present numerical results for our derivatives using real data from hurricane landings in Florida.     

Stochastic Dominance Bounds on American Option Prices in Markets with Frictions

We derive equilibrium restrictions on the range of the transactionprices of American options on the stock market index and indexfutures. Trading over the lifetime of the options is accountedfor, in contrast to earlier single-period results. The boundson the reservation purchase price of American puts and the reservationwrite price of American calls are tight. We allow the marketto be incomplete and imperfect due to the presence of proportionaltransaction costs in trading the underlying security and dueto bid-ask spreads in option prices. The bounds may be derivedfor any given probability distribution of the return of theunderlying security and admit price jumps and stochastic volatility.We assume that at least some of the traders maximize a time-separable utility function. The bounds are derived by applyingthe weak notion of stochastic dominance and are independentof a trader's particular utility function and initial portfolioposition.