LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance of the Class II-LT2 Regular Interest after distributions on the prior Distribution Date. Y3 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 = Y4). ΔY1 = the combined Class II-LT1, II-LTY1 and II-LTY2 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 = the Class II-LT2 Principal Reduction Amount. ΔY3 = the Class II-LT3 Principal Reduction Amount. ΔY4 = the Class II-LT4 Principal Reduction Amount. P0 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP = P0 - P1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Principal Reduction Amounts, which = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such Certificates on such Distribution Date. R0 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α = (Y2 + Y3)/P0. The initial value of α on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2X-PPP Accrued Interest for such Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R0*P0. γ1 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2X-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R1*P1. Then, based on the foregoing definitions: ΔY1 = ΔP - ΔY2 - ΔY3 - ΔY4 - ΔY6 - ΔY7 - ΔY8; ΔY2 = (α/2){( γ0R1 - γ1R0)/R0R1}; ΔY3 = αΔP - ΔY2; and ΔY4 = ΔY3. if both ΔY2 and ΔY3, as so determined, are non-negative numbers. Otherwise:
Appears in 6 contracts
Samples: Pooling and Servicing Agreement (WaMu Mortgage Pass-Through Certificates, Series 2007-Oa4), Pooling and Servicing Agreement (WaMu Mortgage Pass-Through Certificates, Series 2006-Ar19), Pooling and Servicing Agreement (WaMu Mortgage Pass-Through Certificates, Series 2007-Oa6)
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class IIIII-LT1, II-LT2III‑LT2, II-LT3III‑LT3, II-LT4III‑LT4, II-LT6III‑LTY1, II-LT7III‑LTY2, II-LT8, II-LTY1 III‑LTY3 and II-LTY2 III‑LTY4 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance principal balance of the Class IIIII-LT1, II-LTY1 III‑LTY1, III‑LTY2, III‑LTY3 and II-LTY2 III‑LTY4 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance principal balance of the Class IIIII-LT2 Regular Interest after distributions on the prior Distribution Date. Y3 = the Class Principal Balance principal balance of the Class IIIII-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 = the Class Principal Balance principal balance of the Class IIIII-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 = Y4). ΔY1 = the combined Class IIIII-LT1, II-LTY1 III‑LTY1, III‑LTY2, III‑LTY3 and II-LTY2 III‑LTY4 Principal Reduction Amount. Such amount shall be allocated first to the Class IIIII-LTY LTY1, III‑LTY2, III‑LTY3 and II-LTY2 III‑LTY4 Regular Interests up to the Class Y-1 Principal Reduction Amount and Amount, Class Y-2 Principal Reduction Amount, respectivelyClass Y-3 Principal Reduction Amount and Class Y-4 Principal Reduction Amount, respectively and thereafter the remainder shall be allocated to the Class IIIII-LT1 Regular Interest. ΔY2 = the Class IIIII-LT2 Principal Reduction Amount. ΔY3 = the Class IIIII-LT3 Principal Reduction Amount. ΔY4 = the Class IIIII-LT4 Principal Reduction Amount. P0 = the aggregate principal balance of the Class IIIII-LT1, II-LT2III‑LT2, II-LT3III‑LT3, II-LT4III‑LT4, II-LT6III‑LTY1, II-LT7III‑LTY2, II-LT8, II-LTY1 III‑LTY3 and II-LTY2 III‑LTY4 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class IIIII-LT1, II-LT2III‑LT2, II-LT3III‑LT3, II-LT4III‑LT4, II-LT6III‑LTY1, II-LT7III‑LTY2, II-LT8, II-LTY1 III‑LTY3 and II-LTY2 III‑LTY4 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP = P0 - P1 = the aggregate of the Class IIIII-LT1, II-LT2III‑LT2, II-LT3III‑LT3, II-LT4III‑LT4, II-LT6III‑LTY1, II-LT7III‑LTY2, II-LT8, II-LTY1 III‑LTY3 and II-LTY2 III‑LTY4 Principal Reduction Amounts, which = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such the Certificates on such Distribution Date. R0 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α = (Y2 + Y3)/P0. The initial value of α on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 = the lesser of (A) the sum of (1) sum, for all Classes of Certificates related to Loan Groups 1 and 2Certificates, other than the Class 1XDX-PPP and Class 2X-PPP CertificatesPPP, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2X-PPP Accrued Interest for such Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R0*P0. γ1 = the lesser of (A) the sum of (1) sum, for all Classes of Certificates related relating to Loan Groups 1 and 1, 2, 3 or 4, other than the Class 1X-PPP and Class 2XDX-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2X-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R1*P1. Then, based on the foregoing definitions: ΔY1 = ΔP - ΔY2 - ΔY3 - ΔY4 - ΔY6 - ΔY7 - ΔY8ΔY4; ΔY2 = (α/2){( γ0R1 - γ1R0)/R0R1}; ΔY3 = αΔP - ΔY2; and ΔY4 = ΔY3. if both ΔY2 and ΔY3, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance of the Class II-LT2 Regular Interest after distributions on the prior Distribution Date. Y3 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 = Y4). ΔY1 = the combined Class II-LT1, II-LTY1 and II-LTY2 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 = the Class II-LT2 Principal Reduction Amount. ΔY3 = the Class II-LT3 Principal Reduction Amount. ΔY4 = the Class II-LT4 Principal Reduction Amount. P0 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP = P0 - P1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Principal Reduction Amounts, which = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such Certificates on such Distribution Date. R0 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α = (Y2 + Y3)/P0. The initial value of α on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP 2X-1 and Class 2XCX-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Net Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2XCX-PPP Loan Group 2 IO Component Accrued Interest for such Distribution Date (as limited by the Maximum Class X CX Interest Amount, if applicable) and (B) R0*P0. γ1 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP 2X-1 and Class 2XCX-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Net Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2XCX-PPP Loan Group 2 IO Component Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X CX Interest Amount, if applicable) and (B) R1*P1. Then, based on the foregoing definitions: ΔY1 = ΔP - ΔY2 - ΔY3 - ΔY4 - ΔY6 - ΔY7 - ΔY8; ΔY2 = (α/2){( γ0R1 - γ1R0)/R0R1}; ΔY3 = αΔP - ΔY2; and ΔY4 = ΔY3. if both ΔY2 and ΔY3, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
Samples: Pooling and Servicing Agreement (WaMu Mortgage Pass-Through Certificates, Series 2007-Oa3)
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 Y9 = the Class Principal Balance of the Class II-LT2 II‑LT1 Regular Interest after distributions on the prior Distribution Date. Y3 Y10 = the Class Principal Balance of the Class II‑LT2 Regular Interest after distributions on the prior Distribution Date. Y11 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 Y12 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 Y11 = Y4Y12). ΔY1 ΔY9 = the combined Class II-LT1, II-LTY1 and II-LTY2 II‑LT1 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 ΔY10 = the Class II-LT2 II‑LT2 Principal Reduction Amount. ΔY3 ΔY11 = the Class II-LT3 II‑LT3 Principal Reduction Amount. ΔY4 ΔY12 = the Class II-LT4 II‑LT4 Principal Reduction Amount. P0 Q0 = the aggregate principal balance Class Principal Balance of the Class II-LT1II-LT1, II-LT2II‑LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 II‑LT3 and II-LTY2 LT4 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 Q1 = the aggregate principal balance Class Principal Balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 LT3 and II-LTY2 LT4 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP ΔQ = P0 Q0 - P1 Q1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 LT3 and II-LTY2 LT4 Principal Reduction Amounts, which . = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Group 3 Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X 3X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization Amounts allocated to such Certificates on such Distribution Date. R0 S0 = the Aggregate Loan Group 3 Net Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 S1 = the Aggregate Loan Group 3 Net Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α β = (Y2 Y10 + Y3)/P0Y11)/Q0. The initial value of α β on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 Γ0 = the lesser of (A) the sum of (1) sum, for all Classes of Certificates related to Loan Groups 1 and 2, Group 3 (other than the Class 1X-PPP and Class 2X-PPP 3X Certificates), of the product for each Class of (i) the monthly interest rate Certificate Interest Rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B 3 Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2X-PPP Accrued Interest for such Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R0*P0S0*Q0. γ1 Γ1 = the lesser of (A) the sum of (1) sum, for all Classes of Certificates related to Loan Groups 1 and 2, Group 3 (other than the Class 1X-PPP and Class 2X-PPP 3X Certificates), of the product for each Class of (i) the monthly interest rate Certificate Interest Rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B 3 Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2X-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R1*P1S1*Q1. Then, based on the foregoing definitions: ΔY1 ΔY9 = ΔP ΔQ - ΔY2 ΔY10 - ΔY3 ΔY11 - ΔY4 - ΔY6 - ΔY7 - ΔY8ΔY12; ΔY2 ΔY10 = (α/2){( γ0R1 β/2){(Γ0S1 - γ1R0)/R0R1Γ1S0)/S0S1}; ΔY3 ΔY11 = αΔP βΔQ - ΔY2ΔY10; and ΔY4 ΔY12 = ΔY3ΔY11. if both ΔY2 ΔY10 and ΔY3ΔY11, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance of the Class II-LT2 Regular Interest after distributions on the prior Distribution Date. Y3 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 = Y4). ΔY1 = the combined Class II-LT1, II-LTY1 and II-LTY2 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 = the Class II-LT2 Principal Reduction Amount. ΔY3 = the Class II-LT3 Principal Reduction Amount. ΔY4 = the Class II-LT4 Principal Reduction Amount. P0 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP = P0 - P1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Principal Reduction Amounts, which = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such Certificates on such Distribution Date. R0 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α = (Y2 + Y3)/P0. The initial value of α on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP X Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class Group B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2XCX-2-PPP Accrued Interest for such Distribution Date (as limited by the Aggregate Maximum Class X CX Interest Amount, if applicable) and (B) R0*P0. γ1 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP X Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class Group B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2XCX-2-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Aggregate Maximum Class X CX Interest Amount, if applicable) and (B) R1*P1. Then, based on the foregoing definitions: ΔY1 = ΔP - ΔY2 - ΔY3 - ΔY4 - ΔY6 - ΔY7 - ΔY8; ΔY2 = (α/2){( γ0R1 - γ1R0)/R0R1}; ΔY3 = αΔP - ΔY2; and ΔY4 = ΔY3. if both ΔY2 and ΔY3, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 Y9 = the Class Principal Balance of the Class II-LT2 II‑LT1 Regular Interest after distributions on the prior Distribution Date. Y3 Y10 = the Class Principal Balance of the Class II‑LT2 Regular Interest after distributions on the prior Distribution Date. Y11 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 Y12 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 Y11 = Y4Y12). ΔY1 ΔY9 = the combined Class II-LT1, II-LTY1 and II-LTY2 II‑LT1 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 ΔY10 = the Class II-LT2 II‑LT2 Principal Reduction Amount. ΔY3 ΔY11 = the Class II-LT3 II‑LT3 Principal Reduction Amount. ΔY4 ΔY12 = the Class II-LT4 II‑LT4 Principal Reduction Amount. P0 Q0 = the aggregate principal balance Class Principal Balance of the Class II-LT1II-LT1, II-LT2II‑LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 II‑LT3 and II-LTY2 LT4 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 Q1 = the aggregate principal balance Class Principal Balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 LT3 and II-LTY2 LT4 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP ΔQ = P0 Q0 - P1 Q1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 LT3 and II-LTY2 LT4 Principal Reduction Amounts, which . = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Group 3 Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X 3X-PPP Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization Amounts allocated to such Certificates on such Distribution Date. R0 S0 = the Aggregate Loan Group 3 Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 S1 = the Aggregate Loan Group 3 Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α β = (Y2 Y10 + Y3)/P0Y11)/Q0. The initial value of α β on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 Γ0 = the lesser of (A) the sum of (1) sum, for all Classes of Certificates related to Loan Groups 1 and 2, Group 3 (other than the Class 1X-PPP and Class 2X3X-PPP Certificates), of the product for each Class of (i) the monthly interest rate Certificate Interest Rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B 3 Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2X-PPP Accrued Interest for such Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R0*P0S0*Q0. γ1 Γ1 = the lesser of (A) the sum of (1) sum, for all Classes of Certificates related to Loan Groups 1 and 2, Group 3 (other than the Class 1X-PPP and Class 2X3X-PPP Certificates), of the product for each Class of (i) the monthly interest rate Certificate Interest Rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B 3 Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2X-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R1*P1S1*Q1. Then, based on the foregoing definitions: ΔY1 ΔY9 = ΔP ΔQ - ΔY2 ΔY10 - ΔY3 ΔY11 - ΔY4 - ΔY6 - ΔY7 - ΔY8ΔY12; ΔY2 ΔY10 = (α/2){( γ0R1 β/2){(Γ0S1 - γ1R0)/R0R1Γ1S0)/S0S1}; ΔY3 ΔY11 = αΔP βΔQ - ΔY2ΔY10; and ΔY4 ΔY12 = ΔY3ΔY11. if both ΔY2 ΔY10 and ΔY3ΔY11, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
Samples: Pooling and Servicing Agreement (WaMu Mortgage Pass-Through Certificates, Series 2006-Ar11)
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance of the Class II-LT2 Regular Interest after distributions on the prior Distribution Date. Y3 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 = Y4). ΔY1 = the combined Class II-LT1, II-LTY1 and II-LTY2 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 = the Class II-LT2 Principal Reduction Amount. ΔY3 = the Class II-LT3 Principal Reduction Amount. ΔY4 = the Class II-LT4 Principal Reduction Amount. P0 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP = P0 - P1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Principal Reduction Amounts, which = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such Certificates on such Distribution Date. R0 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α = (Y2 + Y3)/P0. The initial value of α on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP X Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class Group B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2XCX-1 Accrued Interest and the Class CX-2-PPP Accrued Interest for such Distribution Date (as limited by the Maximum Class X CX Interest Amount, if applicable) and (B) R0*P0. γ1 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP X Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class Group B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2XCX-1 Accrued Interest and the Class CX-2-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X CX Interest Amount, if applicable) and (B) R1*P1. Then, based on the foregoing definitions: ΔY1 = ΔP - ΔY2 - ΔY3 - ΔY4 - ΔY6 - ΔY7 - ΔY8; ΔY2 = (α/2){( γ0R1 - γ1R0)/R0R1}; ΔY3 = αΔP - ΔY2; and ΔY4 = ΔY3. if both ΔY2 and ΔY3, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance of the Class II-LT2 Regular Interest after distributions on the prior Distribution Date. Y3 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 = Y4). ΔY1 = the combined Class II-LT1, II-LTY1 and II-LTY2 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 = the Class II-LT2 Principal Reduction Amount. ΔY3 = the Class II-LT3 Principal Reduction Amount. ΔY4 = the Class II-LT4 Principal Reduction Amount. P0 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP = P0 - P1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Principal Reduction Amounts, which = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such Certificates on such Distribution Date. R0 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α = (Y2 + Y3)/P0. The initial value of α on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP X Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class Group B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2XCX-2-PPP Accrued Interest for such Distribution Date (as limited by the Aggregate Maximum Class X CX Interest Amount, if applicable) and (B) R0*P0. γ1 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP X Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class Group B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2XCX-2-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Aggregate Maximum Class X CX Interest Amount, if applicable) and (B) R1*P1. Then, based on the foregoing definitions: ΔY1 = ΔP - ΔY2 - ΔY3 - ΔY4 - ΔY6 - ΔY7 - ΔY8; ΔY2 = (α/2){( γ0R1 - γ1R0)/R0R1}; ΔY3 = αΔP - ΔY2; and ΔY4 = ΔY3. if both ΔY2 and ΔY3, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 Y5 = the aggregate Class Principal Balance principal balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance of the Class II-LT2 II‑LT1 Regular Interest after distributions on the prior Distribution Date. Y3 Y6 = the principal balance of the Class Principal Balance II‑LT2 Regular Interest after distributions on the prior Distribution Date. Y7 = the principal balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 Y8 = the Class Principal Balance principal balance of the Class II-LT4 LT 4 Regular Interest after distributions on the prior Distribution Date (note: Y3 Y7 = Y4Y8). ΔY1 ΔY5 = the combined Class II-LT1, II-LTY1 and II-LTY2 II‑LT1 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 ΔY6 = the Class II-LT2 II‑LT2 Principal Reduction Amount. ΔY3 ΔY7 = the Class II-LT3 II‑LT3 Principal Reduction Amount. ΔY4 ΔY8 = the Class II-LT4 II‑LT4 Principal Reduction Amount. P0 Q0 = the aggregate principal balance of the Class IILT1, II‑LT2, II‑LT3 and II-LT4 Regular Interests after distributions and the allocation of Realized Losses on the prior Distribution Date. Q1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 LT3 and II-LTY2 LT4 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP ΔQ = P0 Q0 - P1 Q1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 LT3 and II-LTY2 LT4 Principal Reduction Amounts, which . = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Group 5 Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X 5X-PPP Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such Certificates on such Distribution Date). R0 S0 = the Aggregate Loan Group 5 Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 S1 = the Aggregate Loan Group 5 Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α β = (Y2 Y6 + Y3)/P0Y7)/Q0. The initial value of α β on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 Γ0 = the lesser of (A) the sum of (1) sum, for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP CertificatesGroup 5, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B 5 Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2X-PPP Accrued Interest for such Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R0*P0S0*Q0. γ1 Γ1 = the lesser of (A) the sum of (1) sum, for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP CertificatesGroup 5, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2X-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R1*P1S1*Q1. Then, based on the foregoing definitions: ΔY1 ΔY5 = ΔP - ΔY2 - ΔY3 - ΔY4 ΔQ - ΔY6 - ΔY7 - ΔY8; ΔY2 ΔY6 = (α/2){( γ0R1 β/2){(Γ0S1 - γ1R0)/R0R1Γ1S0)/S0S1}; ΔY3 ΔY7 = αΔP βΔQ - ΔY2ΔY6; and ΔY4 ΔY8 = ΔY3ΔY7. if both ΔY2 ΔY6 and ΔY3ΔY7, as so determined, are non-negative numbers. Otherwise:
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LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance of the Class II-LT2 Regular Interest after distributions on the prior Distribution Date. Y3 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 = Y4). ΔY1 = the combined Class II-LT1, II-LTY1 and II-LTY2 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 = the Class II-LT2 Principal Reduction Amount. ΔY3 = the Class II-LT3 Principal Reduction Amount. ΔY4 = the Class II-LT4 Principal Reduction Amount. P0 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP = P0 - P1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and LTY1and II-LTY2 Principal Reduction Amounts, which = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such Certificates on such Distribution Date. R0 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α = (Y2 + Y3)/P0. The initial value of α on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class Group L-B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2X-PPP Accrued Interest for such Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R0*P0. γ1 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP and Class 2X-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class Group L-B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2X-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R1*P1. Then, based on the foregoing definitions: ΔY1 = ΔP - ΔY2 - ΔY3 - ΔY4 - ΔY6 - ΔY7 - ΔY8; ΔY2 = (α/2){( γ0R1 - γ1R0)/R0R1}; ΔY3 = αΔP - ΔY2; and ΔY4 = ΔY3. if both ΔY2 and ΔY3, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
Samples: Pooling and Servicing Agreement (WaMu Mortgage Pass-Through Certificates, Series 2006-Ar13)
LT Principal Reduction Amounts. For any Distribution Date, the amounts by which the principal balances of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests, respectively, will be reduced on such Distribution Date by the allocation of Realized Losses and the distribution of principal, determined as follows: For purposes of the succeeding formulas the following symbols shall have the meanings set forth below: Y1 = the aggregate Class Principal Balance of the Class II-LT1, II-LTY1 and II-LTY2 Regular Interests after distributions on the prior Distribution Date. Y2 = the Class Principal Balance of the Class II-LT2 Regular Interest after distributions on the prior Distribution Date. Y3 = the Class Principal Balance of the Class II-LT3 Regular Interest after distributions on the prior Distribution Date. Y4 = the Class Principal Balance of the Class II-LT4 Regular Interest after distributions on the prior Distribution Date (note: Y3 = Y4). ΔY1 = the combined Class II-LT1, II-LTY1 and II-LTY2 Principal Reduction Amount. Such amount shall be allocated first to the Class II-LTY and II-LTY2 Regular Interests up to the Class Y-1 Principal Reduction Amount and Class Y-2 Principal Reduction Amount, respectively, and thereafter the remainder shall be allocated to the Class II-LT1 Regular Interest. ΔY2 = the Class II-LT2 Principal Reduction Amount. ΔY3 = the Class II-LT3 Principal Reduction Amount. ΔY4 = the Class II-LT4 Principal Reduction Amount. P0 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts on the prior Distribution Date. P1 = the aggregate principal balance of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Regular Interests after distributions and the allocation of Realized Losses and Net Negative Amortization Amounts to be made on such Distribution Date. ΔP = P0 - P1 = the aggregate of the Class II-LT1, II-LT2, II-LT3, II-LT4, II-LT6, II-LT7, II-LT8, II-LTY1 and II-LTY2 Principal Reduction Amounts, which = the aggregate of the principal portions of Realized Losses to be allocated to, and the principal distributions to be made on, the Certificates related to Loan Groups 1 and 2 on such Distribution Date (including distributions of accrued and unpaid interest on the Class X Certificates related to Loan Groups 1 and 2 for prior Distribution Dates) reduced by Net Negative Amortization allocated to such Certificates on such Distribution Date. R0 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts distributed and Realized Losses allocated on the prior Distribution Date. R1 = the Aggregate Weighted Average Pass-Through Rate (stated as a monthly rate) after giving effect to amounts to be distributed and Realized Losses to be allocated on such Distribution Date. α = (Y2 + Y3)/P0. The initial value of α on the Closing Date for use on the first Distribution Date shall be 0.0001. γ0 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP PPP, Class 1X-2 and Class 2X-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on such Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses on the prior Distribution Date and (2) the Class 2X-PPP Accrued Interest for such Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R0*P0. γ1 = the lesser of (A) the sum of (1) for all Classes of Certificates related to Loan Groups 1 and 2, other than the Class 1X-PPP PPP, Class 1X-2 and Class 2X-PPP Certificates, of the product for each Class of (i) the monthly interest rate (as limited by the related Loan Group Weighted Average Pass-Through Rate or Class B Weighted Average Pass-Through Rate, if applicable) for such Class applicable for distributions to be made on the next succeeding Distribution Date and (ii) the aggregate Certificate Principal Balance for such Class after distributions and the allocation of Realized Losses to be made on such Distribution Date and (2) the Class 2X-PPP Accrued Interest for the next succeeding Distribution Date (as limited by the Maximum Class X Interest Amount, if applicable) and (B) R1*P1. Then, based on the foregoing definitions: ΔY1 = ΔP - ΔY2 - ΔY3 - ΔY4 - ΔY6 - ΔY7 - ΔY8; ΔY2 = (α/2){( γ0R1 - γ1R0)/R0R1}; ΔY3 = αΔP - ΔY2; and ΔY4 = ΔY3. if both ΔY2 and ΔY3, as so determined, are non-negative numbers. Otherwise:
Appears in 1 contract
Samples: Pooling and Servicing Agreement (WaMu Mortgage Pass-Through Certificates, Series 2007-Oa2)