Narrow Results

This paper presents a new model of cash breakeven analysis that is designed to assess the risk of insolvency due to illiquidity. Its first step is to parametrize the cash flow statement to this end. Then, it derives several cash breakeven formula. Next, it derives new leverage indices and establishes their linkage to the cash sales coverages. The comprehensive index shows the sensitivity of the firm's surplus cash balance to changes in the sales level after all planned payments, both required and voluntary, are made. The new cash breakeven analysis is contrasted with the traditional profit breakeven analysis by means of a hypothetical example firm. A simulation experiment is provided to elucidate the strengths of the method as a contemporary tool of financial planning.

Today, the entire world is witnessing an enormous upsurge in coronavirus pandemic (COVID-19 pandemic). Confronting such acute infectious disease, which has taken multiple victims around the world, requires all specialists in all fields to devote their efforts to seek effective treatment or even control its disseminate. In the light of this aspect, this work proposes two new fractional-order versions for one of the recently extended forms of the SEIR model. These two versions, which are established in view of two fractional-order differential operators, namely, the Caputo and the Caputo–Fabrizio operators, are numerically solved based on the Generalized Euler Method (GEM) that considers Caputo sense, and the Adams–Bashforth Method (ABM) that considers Caputo–Fabrizio sense. Several numerical results reveal the impact of the fractional-order values on the two established disease models, and the continuation of the COVID-19 pandemic outbreak to this moment. In the meantime, some novel results related to the stability analysis and the basic reproductive number are addressed for the proposed fractional-order Caputo COVID-19 model. For declining the total of individuals infected by such pandemic, a new compartment is added to the proposed model, namely the disease prevention compartment that includes the use of face masks, gloves and sterilizers. In view of such modification, it is turned out that the performed addition to the fractional-order Caputo COVID-19 model yields a significant improvement in reducing the risk of COVID-19 spreading.