A Pricing and Hedging Comparison of Parametric and Nonparametric Approaches for American Index Options

This article investigates the extent to which options on theAustralian Stock Price Index can be explained by parametricand nonparametric option pricing techniques. In particular,comparisons are made of out-of-sample option pricing performanceand hedging performance. The dataset differs from many of thoseused previously in the empirical options pricing literaturein that it consists of American options. In addition, a broaderspectrum of techniques are considered: a spline-based nonparametrictechnique is considered in addition to the standard kernel techniques,while the performance of a Heston stochastic volatility modelis also considered. Although some evidence is found of superiorperformance by nonparametric techniques for in-sample pricing,the parametric methods exhibit a markedly better ability toexplain future prices and show superior hedging performance.     

What motivates a subprime borrower to default?

This paper uses a real options approach to analyse the exercise of the default option embedded in mortgages. In particular, it examines a subprime household who borrows at a premium, but hopes to refinance at prime rates if their house appreciates. We show how these optimal default decisions can be used to calculate probabilities of default – an important input for risk management and pricing purposes. Numerical examples are provided, calibrated to US data. In a low interest rate environment, the credit-upgrade potential may discourage subprime borrowers from defaulting. However, default probabilities are highly sensitive to changes in interest rates and house prices. This provides a rational explanation for the prevalence of adjustable rate mortgages among subprime borrowers, and the subsequent large numbers of defaults, when interest rates rose and house prices declined.     

The Valuation of Equity Futures on the Tokyo Stock Exchange: 1920–1923

The futures price of an asset should depend on the spot price of that asset, the interest rate, cash flows during the contract term, the convenience yield, and storage costs. Despite many tests of the spot–future relation for commodities in historical periods, there have been no tests of this historical relation for equities. We price single‐stock equity futures on the Tokyo Stock Exchange between 1920 and 1923 and find that mispricing is considerably worse than in contemporary U.S. markets, after adjusting for (unavoidable) asynchronous data issues. The main cause of the mispricing is short‐sales constraints, rather than investor naivety. © 2012 Wiley Periodicals, Inc. Jrl Fut Mark     

Fixed Come Hell or High Water? Selection and Prepayment of Fixed‐Rate Mortgages Outside the United States

We examine the decision to prepay a fixed‐rate mortgage in the United Kingdom, Canada, Ireland, Australia and New Zealand. These countries are characterized by having substantial fees which are associated with breaking a fixed‐rate mortgage. We develop a model which allows for fluctuations both in banks’ wholesale rates and credit spreads. We find that households can achieve economically significant benefits both from following an optimal prepayment strategy contingent on the break fee used by their bank and also by selection of fixed interest rate term and (where available) break fee structure.     

Volatility surfaces: theory,rules of thumb,and empirical evidence

Implied volatilities are frequently used to quote the prices of options. The implied volatility of a European option on a particular asset as a function of strike price and time to maturity is known as the asset's volatility surface. Traders monitor movements in volatility surfaces closely. In this paper we develop a no-arbitrage condition for the evolution of a volatility surface. We examine a number of rules of thumb used by traders to manage the volatility surface and test whether they are consistent with the no-arbitrage condition and with data on the trading of options on the S&P 500 taken from the over-the-counter market. Finally we estimate the factors driving the volatility surface in a way that is consistent with the no-arbitrage condition.