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Pricing Framework (pricing + framework)
Selected AbstractsSurvivor Derivatives: A Consistent Pricing FrameworkJOURNAL OF RISK AND INSURANCE, Issue 3 2010Paul Dawson Survivorship risk is a significant factor in the provision of retirement income. Survivor derivatives are in their early stages and offer potentially significant welfare benefits to society. This article applies the approach developed by Dowd et al. (2006), Olivier and Jeffery (2004), Smith (2005), and Cairns (2007) to derive a consistent framework for pricing a wide range of linear survivor derivatives, such as forwards, basis swaps, forward swaps, and futures. It then shows how a recent option pricing model set out by Dawson et al. (2009) can be used to price nonlinear survivor derivatives, such as survivor swaptions, caps, floors, and combined option products. It concludes by considering applications of these products to a pension fund that wishes to hedge its survivorship risks. [source] Analysis of Participating Life Insurance Contracts: A Unification ApproachJOURNAL OF RISK AND INSURANCE, Issue 3 2007Nadine Gatzert Fair pricing of embedded options in life insurance contracts is usually conducted by using risk-neutral valuation. This pricing framework assumes a perfect hedging strategy, which insurance companies can hardly pursue in practice. In this article, we extend the risk-neutral valuation concept with a risk measurement approach. We accomplish this by first calibrating contract parameters that lead to the same market value using risk-neutral valuation. We then measure the resulting risk assuming that insurers do not follow perfect hedging strategies. As the relevant risk measure, we use lower partial moments, comparing shortfall probability, expected shortfall, and downside variance. We show that even when contracts have the same market value, the insurance company's risk can vary widely, a finding that allows us to identify key risk drivers for participating life insurance contracts. [source] Path-dependent currency options with mean reversionTHE JOURNAL OF FUTURES MARKETS, Issue 3 2008Hoi Ying Wong This paper develops a path-dependent currency option pricing framework in which the exchange rate follows a mean-reverting lognormal process. Analytical solutions are derived for barrier options with a constant barrier, lookback options, and turbo warrants. As the analytical solutions are obtained using a Laplace transform, this study numerically shows that the solution implemented with a numerical Laplace inversion is efficient and accurate. The pricing behavior of path-dependent options with mean reversion is contrasted with the Black-Scholes model. © 2008 Wiley Periodicals, Inc. Jrl Fut Mark 28:275,293, 2008 [source] Knock-in American optionsTHE JOURNAL OF FUTURES MARKETS, Issue 2 2004Min Dai A knock-in American option under a trigger clause is an option contract in which the option holder receives an American option conditional on the underlying stock price breaching a certain trigger level (also called barrier level). We present analytic valuation formulas for knock-in American options under the Black-Scholes pricing framework. The price formulas possess different analytic representations, depending on the relation between the trigger stock price level and the critical stock price of the underlying American option. We also performed numerical valuation of several knock-in American options to illustrate the efficacy of the price formulas. © 2004 Wiley Periodicals, Inc. Jrl Fut Mark 24:179,192, 2004 [source] | ||||||||||