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1a) Interest Rate Risk, Life insurers are more subject to interest rate risk due to its long-tail nature, a drop or an increase in interest rate will greatly affect the investment portfolio and insurer's liability
1b) Cat Loss Risk, P&C insurers will get affected by cat losses more than life insurers (property, auto)
2. Very interesting question, u can price it by collecting data and build a model to consider these factors:
1) Length before it melts
2) Environment temperature of the ice cream
3) Whether the person for the ice cream has ate parts of it already or not
and etc, and build a GLM model
I think the insurer should not develop ice cream insurance, as it is too easy for ice cream to melt (unless u put the ice cream in the refrigerator...), the time it takes for the ice cream to melt, it is simply not enough time for insurer to acquire investment income, unless the policyholder is willing to pay a huge amount of premium..
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