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strategy can be reinterpreted as a two-fund strategy in the growth optimum portfolio and the risk-free asset. …
Persistent link: https://www.econbiz.de/10010305021
Using the Hamilton-Jacobi-Bellman equation, we derive both a Keynes-Ramsey rule and a closed form solution for an optimal consumption-investment problem with labor income. The utility function is unbounded and uncertainty stems from a Poisson process. Our results can be derived because of the...
Persistent link: https://www.econbiz.de/10010261427
We consider a portfolio optimization problem in a Black-Scholes model with n stocks, in which an investor faces both fixed and proportional transaction costs. The performance of an investment strategy is measured by the average return of the corresponding portfolio over an infinite time horizon....
Persistent link: https://www.econbiz.de/10010263520
Rare and randomly occurring events are important features of the economic world. In continuous time they can easily be modeled by Poisson processes. Analyzing optimal behavior in such a setup requires the appropriate version of the change of variables formula and the Hamilton-Jacobi-Bellman...
Persistent link: https://www.econbiz.de/10010296536
Rare and randomly occurring events are important features of the economic world. In continuous time they can easily be modeled by Poisson processes. Analyzing optimal behavior in such a setup requires the appropriate version of the change of variables formula and the Hamilton-Jacobi-Bellman...
Persistent link: https://www.econbiz.de/10010296792
value at risk (CVaR). To be more exact, we attempt to reveal the extent to which the risk given by CVaR can be estimated … approaches with which one can overcome the shortcomings of the variance as a risk measure. First of all, we solved in the … of risk. As a part of the analysis, the pair-wise comparison of the different higher moment metrics of the meanvariance …
Persistent link: https://www.econbiz.de/10010275840
This interdisciplinary paper explains how mathematical techniques of stochastic optimal control can be applied to the recent subprime mortgage crisis. Why did the financial markets fail to anticipate the recent debt crisis, despite the large literature in mathematical finance concerning optimal...
Persistent link: https://www.econbiz.de/10010276757
Contemporary financial stochastic programs typically involve a trade-offbetween return and (downside)-risk. Using …. We find that the model can be tuned easily using Value-at-Risk (VaR) related benchmarks. In the multi-stage setting, we … formally prove that the optimal solution consists of a sequence of myopic (single-stage) decisions with risk …
Persistent link: https://www.econbiz.de/10010324403
assets only, the constrained one, and the presence of a risk-free asset. The use of a generalized form for the budget … – and infer the price of pure risk. Some properties of the several solutions are highlighted. The rationale for a linear …
Persistent link: https://www.econbiz.de/10011496187
Risk exchange is considered here as a cooperative game with transferable utility. The set-up fits markets for insurance …
Persistent link: https://www.econbiz.de/10013208519