A fini`te-di`fference, time-domain solution for three dimensional
... incorporated explicitly. Otherwise, results are erroneous at late times, which has been confirmed by our numerical experience. To illustrate, consider the de limit. In this case, equation (1) reduces to V x e(r, t) ::: 0. ...
... incorporated explicitly. Otherwise, results are erroneous at late times, which has been confirmed by our numerical experience. To illustrate, consider the de limit. In this case, equation (1) reduces to V x e(r, t) ::: 0. ...
An optimal consumption problem with partial information
... We consider an optimal consumption problem where an investor tries to maximize the finite horizon expected discounted HARA utility of consumption. We treat a stochastic factor model that the mean returns of risky assets depend on underlying economic factors formulated as the solution of a linear sto ...
... We consider an optimal consumption problem where an investor tries to maximize the finite horizon expected discounted HARA utility of consumption. We treat a stochastic factor model that the mean returns of risky assets depend on underlying economic factors formulated as the solution of a linear sto ...
A classic new method to solve quartic equations
... Polynomials of high degrees often appear in problems involving optimization, and sometimes these polynomials happen to be quartics, but this is a coincidence. It is shown that any degree-n polynomial with rational (or real, or complex) coefficients has n complex roots. (This fact is called the funda ...
... Polynomials of high degrees often appear in problems involving optimization, and sometimes these polynomials happen to be quartics, but this is a coincidence. It is shown that any degree-n polynomial with rational (or real, or complex) coefficients has n complex roots. (This fact is called the funda ...
