Consider Lundberg's Model for Poisson process with parameter 1 and exponential claims X - f(x) = ½ e -12 x. Given insurer's loading 15% and reinsurer's loading 30%, the insurer adopts the excess of loss reinsurance with retention level M.

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Consider Lundberg's Model for Poisson process with parameter 1 and exponential claims X
- f(x) = ½ e -12 x. Given insurer's loading 15% and reinsurer's loading 30%, the insurer
adopts the excess of loss reinsurance with retention level M.
(a) Find the minimum retention level required for the insurer
(b) Compute the retention level M that maximizes the adjustment coefficient R
(c) Graph the function R(M) in the appropriate range of M
Transcribed Image Text:Consider Lundberg's Model for Poisson process with parameter 1 and exponential claims X - f(x) = ½ e -12 x. Given insurer's loading 15% and reinsurer's loading 30%, the insurer adopts the excess of loss reinsurance with retention level M. (a) Find the minimum retention level required for the insurer (b) Compute the retention level M that maximizes the adjustment coefficient R (c) Graph the function R(M) in the appropriate range of M
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