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We derive the continuity properties of the CDF of a random variable defined as a saddle-type point of a real valued continuous stochastic process on a compact metric space. This result facilitates the derivation of first order asymptotic properties of tests for stochastic spanning w.r.t. some...
Persistent link: https://www.econbiz.de/10013011563
Leshno and Levy (2002) introduce the concept of the first and second order of almost stochastic dominance (ASD) for most decision makers. There are many studies investigating the properties of this concept. Many empirical applications are also conducted based on it. However, there is no formal...
Persistent link: https://www.econbiz.de/10013024708
Using properties of the cdf of a random variable defined as a saddle-type point of a real valued continuous stochastic process, we derive first-order asymptotic properties of tests for stochastic spanning w.r.t. a stochastic dominance relation. First, we define the concept of Markowitz...
Persistent link: https://www.econbiz.de/10011877232
for the existence of arbitrage opportunities or free lunches with vanishing risk, of the form of waiting to buy and … the discretisation chosen. Arbitrage examples are established where the continuous analogue is arbitrage-free under small … (1997) article proving arbitrage in fBm models. …
Persistent link: https://www.econbiz.de/10010330249
A healthy financial system encourages the efficient allocation of capital and risk. The collapse of the house price bubble led to the financial crisis that started in 2007. There is a large empirical literature concerning the relation between asset price bubbles and financial crises. I evaluate...
Persistent link: https://www.econbiz.de/10003936616
for the existence of arbitrage opportunities or free lunches with vanishing risk, of the form of waiting to buy and … the discretisation chosen. Arbitrage examples are established where the continuous analogue is arbitrage-free under small … (1997) article proving arbitrage in fBm models. -- Stock price model ; random walk ; Gaussian processes ; weak convergence …
Persistent link: https://www.econbiz.de/10009155859
This study develops and implements a theory and method for analyzing whether introducing new securities or relaxing investment constraints improves the investment opportunity set for risk averse investors. We develop a test procedure for ‘stochastic spanning’ for two nested polyhedral...
Persistent link: https://www.econbiz.de/10010512497
While it is common knowledge that portfolio separation in a continuous-time lognormal market is due to the basic properties of the Gaussian distribution, the usual textbook exposition relies on dynamic programming and thus Itô stochastic calculus and the appropriate regularity conditions. This...
Persistent link: https://www.econbiz.de/10009787073
We develop and implement a portfolio optimization method for building investment portfolios that dominate a given benchmark index in terms of third-degree stochastic dominance. Our approach relies on the properties of the semi-variance function, a refinement of an existing 'super-convex'...
Persistent link: https://www.econbiz.de/10011439453
We propose a novel linear approximation of expected utility. The approximation guides us as we transfer the traditional quadratic dependence of third-order stochastic dominance (TSD) into an equivalent linear system. The finding also shows a dual relationship between traditional low partial...
Persistent link: https://www.econbiz.de/10012911538