Sentence examples for optimal wealth from inspiring English sources
We first make precise the insider's information flow by using the theory of enlargement of filtrations and then obtain explicit logarithmic utility maximization results to compare optimal wealth for the insider and the ordinary agent.
Scholz and two coauthors, using data from the federally sponsored Health & Retirement Study (which has tracked individual households for decades), found that, counting home values, 81% of those aged 51 to 61 had reached or exceeded their "optimal wealth," defined as the amount they should have accumulated by that age to maintain their customary standard of living in retirement.
The noticeable fact is that the previous characterization of the optimal expected wealth allows to derive an explicit formula for the additional expected utility.
Hence, the optimal fraction of wealth in the lending account is π l,∗ t,φ =0 using (22).
Following the approach of Amendinger et al. (1998), we obtain the optimal strategy and wealth for the two types of investors with a logarithmic utility function and deduce, thanks to the decomposition we get before, the additional gain due to the extra information.
So the optimal consumption increases as wealth increases.
Here (pi _{mathbf {z}}^{l,*}(cdot)) and (pi _{mathbf {z}}^{b,*}(cdot)) denote the optimal feedback fractions of wealth invested in the borrowing and the lending account respectively.
23 Purposeful and theoretical sampling based on an a priori definition of participants' characteristics was carried out to obtain optimal variety and discursive wealth.
Basically, we obtain similar results to those of Koo et al. [4], that is, if (hat{y}>1), then the optimal consumption is zero until wealth reaches the threshold wealth level corresponding to the dual variable (y=1).
Third, there is a growing sense of outrage at the vast sums the government has spent on the public sector to less than optimal effect, while the wealth-creating side of the economy has been weighed down with regulations and tax.Take the high-handed decision announced in October to raise capital-gains taxes to a flat 18% from an effective 10% on most business assets.
None of these folks (like most of us so-called expert types) are confident that we can identify the optimal level of stimulus or wealth redistribution.
