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...

This paper addresses the investment and financing decisions of entrepreneurs entering into option-for-guarantee swaps (OGSs). OGSs significantly increase investment option value. Entrepreneurs initially accelerate their investments and then postpone them as funding gaps grow. Guarantee costs...

We study an equilibrium pricing of a new invented equity-for-guarantee swap and optimal capital structure of a firm, which enters into the swap. We present closed-form corporate security prices and guarantee cost, the percentage of the firm's equity allocated by the firm/borrower to an insurer...

We consider a perturbed renewal risk model where the inter-claim times are phase-type distributed and the dividend payment is a step function depending on the current surplus level. We obtain the integro-differential equations with boundary conditions for the moment-generating functions and the...

We consider the utility-based pricing of corporate securities and optimal capital structure including contingent convertible bond (CCB). We derive the semi-closed-form solutions of the implied values of corporate securities without bankruptcy costs and taxes. Our numerical simulations show that...

We extend the classical compound Poisson risk model to consider the distribution of the maximum surplus before ruin where the claim sizes depend on inter-claim times via the Farlie-Gumbel-Morgenstern copula. We derive an integro-differential equation with certain boundary conditions for this...

This paper examines optimal equity split between an entrepreneur (E) without capital and a venture capitalist (V) under double-sided moral hazard with a two-stage investment in a project. The first-stage investment explores project profitability and the final output is a Cobb-Douglas production...