This paper develops a general continuous-time evolutionary finance model with time-dependent strategies. It is shown that the continuous model, which is a limit of a general discrete model, is well-defined and if there exists one completely diversified strategy in the market, then there is no...

FinTech makes numerous financial products accessible to common investors but up to now, there is no risk measure method specially customized for common investors instead of financial institutions which are generally too big to fail. This paper develops a hedging-based utility risk measure (HBU)...

We develop a jump-diffution model for a guarantee-investment combination financing mode (G-I mode) that is recently popular in financial practice. We assume that a borrower has exclusively an option to invest in a project in two stages. The project's cash flow follows a double exponential...

The paper considers the option of an investor to invest in a project that generates perpetual cash flows, of which the drift parameter is unobservable. The investor invests in a liquid financial market to partially hedge cash flow risk and estimation risk. We derive two 3-dimensional non-linear...

The existing risk measures are developed mainly for financial institutions that are too big to fail. This paper proposes a hedging-based utility risk measure (HBU) customized for individual investors requiring a comprehensive risk assessment for financial products. We show that HBU is a convex...

The existing risk measures are developed mainly for financial institutions that are too big to fail. This paper proposes a hedging-based utility risk measure (HBU) customized for individual investors requiring a comprehensive risk assessment for financial products. We show that HBU is a convex...

We consider an entrepreneur who has no assets in place but possesses an option to invest in a project incurring a lump-sum investment cost, of which a fraction must be financed by entering into an equity-for-guarantee swap. The entrepreneur is exposed to macroeconomic risk as well as...