Discrete-time Insurance Model with Capital Injections and Reinsurance

Verfasser / Beitragende:
[Ekaterina Bulinskaya, Julia Gusak, Anastasia Muromskaya]
Ort, Verlag, Jahr:
2015
Enthalten in:
Methodology and Computing in Applied Probability, 17/4(2015-12-01), 899-914
Format:
Artikel (online)
ID: 605519870
LEADER caa a22 4500
001 605519870
003 CHVBK
005 20210128100732.0
007 cr unu---uuuuu
008 210128e20151201xx s 000 0 eng
024 7 0 |a 10.1007/s11009-014-9418-3  |2 doi 
035 |a (NATIONALLICENCE)springer-10.1007/s11009-014-9418-3 
245 0 0 |a Discrete-time Insurance Model with Capital Injections and Reinsurance  |h [Elektronische Daten]  |c [Ekaterina Bulinskaya, Julia Gusak, Anastasia Muromskaya] 
520 3 |a A periodic-review insurance model is considered under the following assumptions. In order to avoid ruin the insurer maintains the company surplus above a chosen level a by capital injections at the end of each period. One-period insurance claims form a sequence of independent identically distributed nonnegative random variables with finite mean. A nonproportional reinsurance is applied for minimization of total expected discounted injections during a given planning horizon of n periods. Insurance and reinsurance premiums are calculated using the expected value principle. Optimal reinsurance strategy is established. Numerical results illustrating the theoretical ones are provided for three claims distributions. 
540 |a Springer Science+Business Media New York, 2014 
690 7 |a Discrete-time insurance model  |2 nationallicence 
690 7 |a Capital injection  |2 nationallicence 
690 7 |a Nonproportional reinsurance  |2 nationallicence 
690 7 |a Optimal strategy  |2 nationallicence 
700 1 |a Bulinskaya  |D Ekaterina  |u Department of Mathematics and Mechanics, Lomonosov Moscow State University, 119991, Moscow, Russia  |4 aut 
700 1 |a Gusak  |D Julia  |u Department of Mathematics and Mechanics, Lomonosov Moscow State University, 119991, Moscow, Russia  |4 aut 
700 1 |a Muromskaya  |D Anastasia  |u Department of Mathematics and Mechanics, Lomonosov Moscow State University, 119991, Moscow, Russia  |4 aut 
773 0 |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/4(2015-12-01), 899-914  |x 1387-5841  |q 17:4<899  |1 2015  |2 17  |o 11009 
856 4 0 |u https://doi.org/10.1007/s11009-014-9418-3  |q text/html  |z Onlinezugriff via DOI 
898 |a BK010053  |b XK010053  |c XK010000 
900 7 |a Metadata rights reserved  |b Springer special CC-BY-NC licence  |2 nationallicence 
908 |D 1  |a research-article  |2 jats 
949 |B NATIONALLICENCE  |F NATIONALLICENCE  |b NL-springer 
950 |B NATIONALLICENCE  |P 856  |E 40  |u https://doi.org/10.1007/s11009-014-9418-3  |q text/html  |z Onlinezugriff via DOI 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Bulinskaya  |D Ekaterina  |u Department of Mathematics and Mechanics, Lomonosov Moscow State University, 119991, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Gusak  |D Julia  |u Department of Mathematics and Mechanics, Lomonosov Moscow State University, 119991, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 700  |E 1-  |a Muromskaya  |D Anastasia  |u Department of Mathematics and Mechanics, Lomonosov Moscow State University, 119991, Moscow, Russia  |4 aut 
950 |B NATIONALLICENCE  |P 773  |E 0-  |t Methodology and Computing in Applied Probability  |d Springer US; http://www.springer-ny.com  |g 17/4(2015-12-01), 899-914  |x 1387-5841  |q 17:4<899  |1 2015  |2 17  |o 11009