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dc.contributor.advisor Eckley, Douglas Fehr, Ashley
dc.creator Fehr, Ashley 2015-12-06 2016-06-30T17:49:25Z 2016-06-30T17:49:25Z
dc.description.abstract Classical ruin theory was developed by Lundberg in 1907 and refined by Cramer in 1930. This theory describes the evolution of the surplus of an insurance company over time. It assumes that an insurance company begins with an initial surplus and then receives premiums continuously at a constant rate. It also assumes that claims of random and independent size are paid at random and independent times. Ruin occurs when the surplus becomes negative meaning that the average inflow of money (premiums) is smaller than the average outflow of money (claims). Cramer expanded on this theory to show that probability of ruin decays exponentially fast as the initial surplus grows larger. This paper will synthesize some of the key results from Ruin Theory. These results will not be proven via formula but will be conclusively demonstrated using simulation.
dc.language.iso en en_US
dc.subject Ruin Theory en_US
dc.subject Compound Poisson en_US
dc.subject adjustment coefficient en_US
dc.subject Monte Carlo en_US
dc.title Ruin Theory en_US
dc.type Thesis en Master of Science in Mathmatics en_US Master's en Mathematics en George Mason University en

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