As compensation for legal services, I agree to pay said attorney a contingency fee computed as follows:
(a) 33 1/3% of any recovery up to $1,000,000.00 through the time of filing an answer or the demand for appointment of arbitrators;
(b) 40% of any recovery up to $1,000,000.00 through the trial of the case;
(c) 30% of any recovery between $1,000,000.00 and $2,000,000.00;
(d) 20% of any recovery in excess of $2,000,000.00;