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Mixture sets were introduced by Herstein and Milnor (1953) into decision theory, where they are still widely used. This …
Persistent link: https://www.econbiz.de/10005478938
accumulation to the theory of competitive equilibrium over time. Finally I will make some remarks on the relations of this … literature to some recent developments in the theory of economic growth which are often referred to comprehensively as the New … Growth Theory. …
Persistent link: https://www.econbiz.de/10005698152
Mathematical economic theory is lacking in logical rigour. Even if the mathematics used in constructing formal economic … theory is rigorous as pure mathematics, economic theory possesses both mathematical and non-mathematical components. But …, distinguished, and integrated. However, the real challenge to formalizing economic theory points not to mathematics but to problems …
Persistent link: https://www.econbiz.de/10009219429
Mathematical economic theory is lacking in logical rigour. Even if the mathematics used in constructing formal economic … theory is rigorous as pure mathematics, economic theory possesses both mathematical and non-mathematical components. But …, distinguished, and integrated. However, the real challenge to formalizing economic theory points not to mathematics but to problems …
Persistent link: https://www.econbiz.de/10009219473
The present study presents a general scheme of the categories of human activities, integrating mathematics into the …
Persistent link: https://www.econbiz.de/10009140947
Persistent link: https://www.econbiz.de/10011087038
We report on the adequacy of using Sato processes to value equity structured products. In models used to price options on realized variance, the latter must be a random variable with a positive variance. An analysis of this variance of realized variance for Sato processes shows that these...
Persistent link: https://www.econbiz.de/10005495780
formulation of the theory of derivative pricing in which numeraire invariance is manifest, extending earlier work on this subject … fraction of total value invested in each asset is a deterministic function of time. Applying this theory to Gaussian Heath …
Persistent link: https://www.econbiz.de/10005462673
The aim of this paper is to give an extension of the mean-variance hedging problem to the $\mathcal{L}^p$-setting, where 1 p ∞. Remark that the mean-variance hedging is corresponding to the case where p = 2. Firstly, we prove that the unique existence of the optimal hedging strategy in the...
Persistent link: https://www.econbiz.de/10004971770
We study the problem of finding the minimal initial capital needed in order to hedge without risk a barrier option when the vector of proportions of wealth invested in each risky asset is constrained to lie in a closed convex domain. In the context of a Brownian diffusion model, we provide a...
Persistent link: https://www.econbiz.de/10011099441