Regarding the evolution of financial asset prices governed by an history dependent (path dependent) dynamical system as a prediction mechanism, we provide in this paper the dynamical valuation and management of a portfolio (replicating for instance European, American and other options) depending upon this prediction mechanism (instead of an uncertain evolution of prices, stochastic or tychastic...

We compare the behaviour of students and professional traders from an influential German bank in an experiment involving financial options. The arbitrage free option price is independent of the probability distribution of the underlying asset. The experimental data uncover a probability dependent option valuation of the students, however, they learn to exploit more arbitrage as they gain experi...

Much has been learned about calculation, commodification and marketization from the social studies of markets and finance. But what of capitalization? What is distinctive about this mode of valuation and the reality it impels? What does it mean to live under the ‘asset condition’? In Capitalization: A Cultural Guide, Fabian Muniesa and his colleagues at the Centre de Sociologie de l’Innovation ...

In this paper, we provide an analytic valuation method for European-type contingent claims with multiple underlying assets under a stochastic market environment. We employ a twostate Markov regime-switching volatility in order to reflect the stochastically-changing market environment. The method is developed by exploiting the probability densities of the occupation times for which the underlyin...

The capitalization (cap) rate as used in the real estate literature refers to the ratio of net operating income to property value. This rate has a particularly important role in property valuation, because the income capitalization method converts the expected income stream from commercial property into an estimate of asset value by dividing the net operating income stream by the capitalization...

One of the most significant achievements from theoretical computer science was to show that there are non-computable problems, which cannot be solved through algorithms. Although the formulation of such problems is mathematical, they often can be interpreted as problems derived from other fields, like physics or computer science. However no noncomputable problem with economical or financial ins...

Exploring long-term implications of valuation leads us to recover and use a distorted probability measure that reflects the long-term implications for risk pricing. This measure is typically distinct from the physical and the risk neutral measures that are well known in mathematical finance. We apply a generalized version of Perron-Frobenius theory to construct this probability measure and pres...

Valuation error and valuation index smoothing have been the subject of a great deal of recent research efforts, largely due to concerns over the quality of investment decisions that can be made using valuation-based data. To date, unsmoothing models have assumed that the variances in valuation noise and market noise are at a constant ratio, producing a constant unsmoothing parameter. This paper...

We study robust notions of good-deal hedging and valuation under combined uncertainty about the drifts and volatilities of asset prices. Good-deal bounds are determined by a subset of risk-neutral pricing measures such that not only opportunities for arbitrage are excluded but also deals that are too good, by restricting instantaneous Sharpe ratios. A non-dominated multiple priors approach to m...