<div>This paper presents a formula for calculating a reinsurance premium
which has been
<br>determined by incorporating a lognormal-burr model into a risk-adjusted
premium calculating
<br>principle called the PH-transform principle. The lognormal-burr model
has been selected and
<br>validated as the best fitting model for the used insurance data among
the eight candidates of
<br>composite lognormal models. The formula has then been applied in
calculating reinsurance
<br>premiums for an automobile insurance branch under an excess of loss
non-proportional
<br>reinsurance treaty.
<br>
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