The manager is rewarded by the following bonus formula: Bt=p{min{U',max{(E t- L),0})), where L is the lower bound on earnings (Et), U' is the limit on the excess of earnings over the lower bound and p is the payout percentage (E 1 -L), defined in the bonus contract. The manager receives p(E t -L) in bonus if earnings exceed the lower bound and are less than the bonus plan limit (the upper bound) on earnings, U, given by the sum (U' + L). The bonus is fixed at p U' when earnings exceed this upper bound.