Journal of Financial Economics
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An intertemporal asset pricing model with stochastic consumption and investment opportunities [статья]
Опубликовано на портале: 02-10-2003Douglas T. Breeden Journal of Financial Economics. 1979. Vol. 7. No. 3. P. 265-296.
This paper derives a single-beta asset pricing model in a multi-good, continuous-time model with uncertain consumption-goods prices and uncertain investment opportunities. When no riskless asset exists, a zero-beta pricing model is derived. Asset betas are measured relative to changes in the aggregate real consumption rate, rather than relative to the market. In a single-good model, an individual's asset portfolio results in an optimal consumption rate that has the maximum possible correlation with changes in aggregate consumption. If the capital markets are unconstrained Pareto-optimal, then changes in all individuals' optimal consumption rates are shown to be perfectly correlated.
Опубликовано на портале: 03-10-2003John C. Cox, Stephen A. Ross, Mark Rubinstein Journal of Financial Economics. 1979. Vol. 7. No. 3. P. 229-263.
This paper presents a simple discrete-time model for valuing options. The fundamental economic principles of option pricing by arbitrage methods are particularly clear in this setting. Its development requires only elementary mathematics, yet it contains as a special limiting case the celebrated Black-Scholes model, which has previously been derived only by much more difficult methods. The basic model readily lends itself to generalization in many ways. Moreover, by its very construction, it gives rise to a simple and efficient numerical procedure for valuing options for which premature exercise may be optimal.
The valuation of compound options [статья]
Опубликовано на портале: 06-10-2004Robert Geske Journal of Financial Economics. 1979. Vol. 7. No. 1. P. 63-81.
This paper presents a theory for pricing options on options, or compound options. The method can be generalized to value many corporate liabilities. The compound call option formula derived herein considers a call option on stock which is itself an option on the assets of the firm. This perspective incorporates leverage effects into option pricing and consequently the variance of the rate of return on the stock is not constant as Black-Scholes assumed, but is instead a function of the level of the stock price. The Black-Scholes formula is shown to be a special case of the compound option formula. This new model for puts and calls corrects some important biases of the Black-Scholes model.