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We present a model of a financial market in which immature diversification, based simply on portfolio size and obtained as a consequence of the law of large numbers, is distinguished from efficient diversification, based on mean-variance analysis. This distinction yields a valuation formula involving only the essential risk embodied in an asset's return, where the overall risk can be decomposed into a systematic and an unsystematic part, as in the arbitrage pricing theory; and the systematic component further decomposed into an essential and an inessential part, as in the capital-asset-…mehr

Produktbeschreibung
We present a model of a financial market in which immature diversification, based simply on portfolio size and obtained as a consequence of the law of large numbers, is distinguished from efficient diversification, based on mean-variance analysis. This distinction yields a valuation formula involving only the essential risk embodied in an asset's return, where the overall risk can be decomposed into a systematic and an unsystematic part, as in the arbitrage pricing theory; and the systematic component further decomposed into an essential and an inessential part, as in the capital-asset- pricing model.The two theories are thus unified, and their individual asset-pricing formulas shown to be equivalent to the pervasive economic principle of no arbitrage. The factors in the model are endogenously chosen by a procedure analogous to the Karhunen-Loéve expansion of continuous time stochastic processes; it has an optimality property justifying the use of a relatively small number of them to describe the underlying correlation structures. Because the difficulties in the formulation of the law of large numbers with a standard continuum of random variables are well known, the model uncovers
Autorenporträt
Dr. Varsha Virani ist Assistenzprofessorin am M J Kundaliya English Medium Mahila Commerce College. Ihr Spezialgebiet ist Rechnungswesen und Finanzen. Sie hat 13 Jahre Lehrerfahrung. Sie hat 14 nationale und 10 internationale Konferenzen besucht und daran teilgenommen. Sie hat 18 Forschungsarbeiten in verschiedenen Fachzeitschriften veröffentlicht.