We consider an entrepreneur who has an option to invest in an irreversible but delayable project. If the project is sufficiently profitable, the firm has an option to make a growth investment, which makes the project cash flow increase by a constant factor. The entrepreneur has no money to...

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...

We consider an entrepreneur having an option to invest in a project and a potential growth investment option. The two-stage investment costs are financed by secured loans and paid by insurers respectively. We develop explicit models to describe guarantee costs, the timing and pricing of the...

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...