Risk adjusted performance measurement for a portfolio involves calculating the risk contribution of each single asset. We show that there is only one definition for the risk contributions which is suitable for performance measurement, namely as derivative of the underlying risk measure in direction of the considered asset weight. We also compute the derivatives for some popular risk measures in...

in this paper, the pricing of a european call option on the underlying asset is performed by using a monte carlo method, one of the powerful simulation methods, where the price development of the asset is simulated and value of the claim is computed in terms of an expected value. the proposed approach, applied in monte carlo simulation, is based on the black-scholes equation which generally def...

This paper considers the pricing of corporate securities of a given firm, in particular equity, when investors do not have full information on the firm’s asset value. We show that under noisy asset information, the pricing of corporate securities leads to a nonlinear filtering problem. This problem is solved by a Markov chain approximation, leading to an efficient finite-dimensional approximati...

Economic value calculations are increasingly used to compare the predictive performance of competing models of asset returns. However, they lack a rigorous way to validate their evidence. This paper proposes a new methodology to test whether utility gains accruing to investors using competing predictive models are equal to zero. Monte Carlo evidence indicates that our testing procedure, that ca...

We develop an asset allocation approach that translates valuation signals into a suggested allocation. At its core, we simulate a mean-reverting value-price evolution to infer important distribution parameters as needed in our allocation rule. The latter relies on a broad range of parameters, thereby diversifying the model risk and making the framework stable. The simulation is calibrated to me...

It is well known that risk increases the value of options. This article makes that precise in a new way. The conventional theorem says that the value of an option does not fall if the underlying asset becomes riskier in the conventional sense of the mean-preserving spread. This article uses two new definitions of ‘‘riskier’’ to show that the value of an option strictly increases (i) if the unde...

This paper analyzes the effect of transaction costs on the social learning in an asset market with asymmetric information, sequential trading and competitive price mechanism. Both fixed and proportional transaction costs reduce the informational content of trading orders and lead to informational cascades. If transaction costs are very high, an informational cascade can occur not only when beli...

2 Basic Theory 4 2.1 Setup . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . . 4 2.2 Arbitrage, State Prices, and Martingales . . . . . . . . . . . . 5 2.3 Individual Agent Optimality . . . . . . . . . . . . . . . . . . . 8 2.4 Habit and Recursive Utilities . . . . . . . . . . . . . . . . . . . 9 2.5 Equilibrium and Pareto Optimality . . . . . . . . . . . . . . . 12 2.6 Equilibrium ...

In this paper we derive the finite-sample distribution of the estimated weights of the tangency portfolio when both the population and the sample covariance matrices are singular. These results are used in the derivation of a statistical test on the weights of the tangency portfolio where the distribution of the test statistic is obtained under both the null and the alternative hypotheses. More...

This paper studies a model of strategic trading with asymmetric information of an asset whose value follows a Brownian motion. An insider continuously observes a signal that tracks the evolution of the asset fundamental value. At a random time a public announcement reveals the current value of the asset to all the traders. The equilibrium has two regimes separated by an endogenously determined ...