Risk insolvability management through optimizing insurance portfolio - mathematical calculations

Taking into account the actual economic situation of the world with numerous financial crisis, the insurance companies should control their financial stability in order to avoid the insolvency or even bankruptcy state. Thus, the insurers should find the adequate methods of substantiating the premium installments, the adequate ways of attracting insurances in order to achieve the right structure of the portfolio and the desired level of financial stability within the company. The present paper proposes mathematical calculation, through which different solution may be given in order to optimize insurance portfolio, determining thus its adequate structure to a certain level of stability planned by the company. The result of elaborated studies and analysis represents an useful instrument for the insured persons, being able to choose the right type of insurance, resting on its comparisons, analysis and conclusions, and for the insurance companies, being meant to improve their subscription and investment activity, as well as the financial stability. The mathematical calculation shown within this paper may be applied in practice and improved.