Ce. Hyde, CROP INSURANCE - THE RELATIONSHIP BETWEEN INDEMNITY PRICE AND EXPECTED OUTPUT PRICE, Journal of agricultural economics, 47(2), 1996, pp. 236-246
Crop insurance contracts typically constrain the choice of price at wh
ich indemnification occurs to less that the expected output price. Thi
s restriction is first analysed assuming only risk-averse farmers, and
yield and price uncertainty. General conditions under which the optim
al price selection is bounded above by the expected output price are f
ound to be difficult to derive. The results of numerical simulations b
ased on a range of different utility functional forms are presented, a
nd a strong tendency is observed for the optimal price selection to be
bounded from below by the expected output price. The effect of increa
sing output price variability on the optimal price selection is also c
onsidered. The simulations results suggest that the optimal price sele
ction is often non-increasing with a mean-preserving spread of the out
put price distribution. Lastly, it is noted that even in the presence
of hidden-action moral hazard, if the incentives for shirking are not
too high, the constraint that price selections be lower than the expec
ted output price may still be binding.