Bear Stearns Asset Backed Securities I Trust Asset-Backed Certificates Series 2005-HE6

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1 Monthly Report for Distribution dated Jul 25, 2017 Global Corporate Trust Services

2 DISTRIBUTION PACKAGE TABLE OF CONTENTS Statement to Certificateholders Page 1 Remittance Summary Group Page 5 Delinquency Summary - Lien and Rate Type Page 6 Prepayment & Liquidation Loan Detail Report Page 7 First Distribution Date: Settlement Date: Cutoff Date: DATES July 25, 2005 June 30, 2005 June 01, 2005 PARTIES TO THE TRANSACTION Servicer(s): JPMorgan Chase Bank, N.A. Certificate Insurer(s): Underwriter(s): Bear, Stearns & Co. ADMINISTRATOR Name: Title: Phone: Fax: Address: Edward Przybycien Account Administrator Edward.Przybycien@usbank.com 190 S. LaSalle St. 7th Fl., Chicago, IL Website: The Trustee, at the direction of the Depositor, and based upon information provided in the Mortgage Loan Schedule or by the Servicer, is furnishing this information to each Certificateholder. The Depositor and/or the Servicer may discontinue the furnishing of this Supplemental Report (other than the Payment Date Statement), or may change its format, at any time and without notice to any Certificateholder. While the above parties have undertaken efforts to ensure the reasonable accuracy of this information, this information has not been audited and the parties make no representation as to the accuracy or completeness of the information.

3 Asset-Backed Asset-Backed Certificates Certificates Series Series 2005-HE HE6 STATEMENT TO CERTIFICATEHOLDERS STATEMENT Distribution TO CERTIFICATEHOLDERS Date: Jul 25, 2017 Determination Date Jul 14, 2017 Accrual Periods: Begin End Record Date - CE, P, R-1, R-2, R-3, RX Jun 30, 2017 Libor Certificates Jun 26, 2017 Jul 24, 2017 Record Date - others Jul 24, 2017 Others Jun 01, 2017 Jun 30, 2017 Payment Detail: Pass Applied Loss Applied Through Original Beginning Principal Interest Total Amounts Loss Ending Class Rate (1) Balance Balance Paid Paid Paid Recovered Amount Balance A % 238,413,00 A % 93,000,00 A % 28,336,00 M % 36,922,00 M % 28,165,00 20,100, , , , ,682, M % 8,284,00 8,284,00 15, , ,284,00 M % 7,337,00 3,287, , , ,287, M % 6,627,00 M % 5,207,00 M % 4,733,00 M-8A % 2,367,00 M-8B % 2,366,00 CE 000% 473,354, ,896, ,405, P 000% 10 R-I 000% R-II 000% R-III 000% RX 000% Totals: 461,757,10 31,672, , , , ,254, (1) Reflects the application of Net Funds Cap Amounts Per 1,000: Applied Beginning Principal Interest Loss Ending Class Cusip Balance Paid Paid Amount Balance Index Value A XV LIBOR % A XW Swap Libor N/A A XX M XY M XZ M YA0 1, , M YB M YC M YD M YE M-8A YF M-8B ZV CE YV P YU R-I YW R-II YX R-III YY RX YZ Page 1 of 7

4 Asset-Backed Asset-Backed Certificates Certificates Series Series 2005-HE HE6 STATEMENT TO CERTIFICATEHOLDERS STATEMENT Distribution TO CERTIFICATEHOLDERS Date: Jul 25, 2017 Interest Detail: Index + Interest Allocation of Applied Realized Total Outstanding Margin or Net PPIS & Basis Risk Basis Risk Basis Risk Loss Amount Interest Carryforward Class Fix Rate PT Rate (1) Relief Act Paid Unpaid Paid Paid (2) Interest A % A % A % M % M % 92, , , M % 34, , , M % 29, , , M % 8, , M % 8, , M % M-8A % M-8B % CE 000% P 000% R-I 000% R-II 000% R-III 000% RX 000% (1) Includes interest shortfalls from previous payments dates plus interest thereon (2) Includes Applied Realized Loss Amount Paid Applied Loss Detail: Begin Loss Loss Current Cumulative Loss Amounts Amount Applied Loss Loss Class Amount Recovered Paid Amount Amount A-1 A-2 A-3 M-1 M-2 M-3 M-4 4,049, ,049, M-5 6,627, ,627, M-6 5,207,00 5,207,00 M-7 4,732, ,732, M-8A 2,367,00 2,367,00 M-8B 2,366,00 2,366,00 Page 2 of 7

5 Asset-Backed Asset-Backed Certificates Certificates Series Series 2005-HE HE6 STATEMENT TO CERTIFICATEHOLDERS STATEMENT Distribution TO CERTIFICATEHOLDERS Date: Jul 25, 2017 ACCOUNT ACTIVITY Reserve Fund Account: Miscellaneous: Advances: Beginning Balance Current Advances Not Provided by Servicer Deposit : required deposit from waterfall Outstanding Advances 1,925, Withdrawal: for Basis Risk shortfalls Withdrawal: to Supplemental Interest Trust, any excess Stated Principal Balance of: Ending Balance Aggregate 31,405, FIX 10,470, Supplemental Interest Trust: ARM 20,935, Swap Notional Balance Prepayment Charges: Beginning Balance Current Amount of Prepayment Charges Deposit: Investment Income Deposit: excess funds from Basis Risk Reserve Funds Interest Remittance Amount 110, Deposit: Net Counterparty Payment to Trust Principal Remittance Amount 366, Deposit: Counterparty Termination Payment Principal Distribution Amount 417, Deposit / Withdrawal : Net Trust Payment to Counterparty HAMP investor incentive, cost share, and depreciation funds 2, Deposit / Withdrawal : Trust Termination Payment to Counterparty Withdrawal : to pay interest on certificates Reconciliation: Withdrawal : to Pay Available Basis Risk Amount Available funds (A): Withdrawal : to Maintian Target OC, principal Servicer remittance 477, Withdrawal : to pay Basis Risk Shortfalls Net Counterparty Payment to Trust Withdrawal : to pay Deferred Amounts 477, Withdrawal : to replacement SWAP Withdrawal : to CE, remaining amounts Distributions (B): Ending Balance Net Trust Payment to Counterparty Total interest distributed 59, Swap Payment made by the trust to the swap provider Total principal distributed 417, Swap Payment made by the swap provider to the trust Misc. Fees Trustee Fees Trust Expenses Accrued and Unpaid Trust Expenses 477, (A) - (B): Page 3 of 7

6 Asset-Backed Asset-Backed Certificates Certificates Series Series 2005-HE HE6 STATEMENT TO CERTIFICATEHOLDERS STATEMENT Distribution TO CERTIFICATEHOLDERS Date: Jul 25, 2017 CREDIT ENHANCEMENT AND TRIGGERS Trigger Event: Overcollateralization: Relevant information: Ending Overcollateralization Amount 151, A) Current Bal of Loans 60+ days delinq, Bankruptcies, Foreclosures and REOs 10,582, Target Overcollateralization Amount 11,597, B) Ending Collateral Balance 31,405, Ending Overcollateralization deficiency amount 11,446, C) Current Delinquency Rate (A/B) % Overcollateralization release amount D) Rolling Three Month Delinquency Rate % E) Current Specified Enhancement % % F) Delinquency Event Threshold % % Excess interest distributions: G) Delinq Event Threshold% multiplied by Current Specified Enhancement%(F*E) % Excess available interest (includes OC release): (A): 50, H) Cumulative Realized Losses 67,084, I) Original Collateral Balance 473,354, ) as additional principal to certificates 50, J) Cumulative Loss % (H/I) % 2) Interest Carry Forward and Realized Loss Reimbursement K) Applicable Cumulative Loss Limit % % 3) Required Basis Risk Reserve Deposit to BRRF 4) Relief Act Shortfalls and Prepayment Interest Shortfalls 5) to Swap Account A Trigger Event will occur if either (1) or (2) is True: 6) Class CE Distribution Amount 1) Rolling 3-Month Delinq % > = the applicable % of the Senior Enhance % (D>=G): 7) Remaining amounts to Class R-III 2) Cumulative Loss % exceeds applicable limit (J>K) (B): 50, (A)-(B): Delinquency Levels: 3-Month Rolling Average Delinquency Percent Aggregate % First Lien % Stepdown Date: ARM % Relevant information: Senior Enhancement Percentage % Senior Enhancement Percentage for purposes of Stepdown % Optional Termination Date The later to occur of: (a) the Distrib Date in July 2008 (b) first Distrib Date when Current Specified Enhancement%>= 48% Page 4 of 7

7 COLLATERAL / REMITTANCE SUMMARY - GROUP POOL BALANCE INFORMATION: Beginning Balance Less: Principal Remittance Plus: Negative Amortization Plus: Draws (If Applicable) Less: Net Realized Losses Ending Balance PRINCIPAL REMITTANCE: Scheduled Principal Prepayments Curtailments Net Liquidation Proceeds Repurchase Principal Total Principal Remittance (A) INTEREST REMITTANCE: Gross Interest Less: Total Retained Fees Less: Deferred Interest Less: Relief Act Interest Shortfall Less: Net Prepayment Interest Shortfall Less: Net Nonrecoverable Advances Less: Interest Loss Net Interest Remittance From Servicer(s) (B) Prepayment Premiums (C) Other Funds (D) REMITTANCE TO TRUST (A+B+C+D): OTHER INFORMATION: Beginning Loan Count Ending Loan Count Ending Pool Factor Weighted Average Coupon Weighted Average Net Coupon Weighted Average Maximum Net Coupon Liquidated Loans - Balance Negative Amortization - Count Negative Amortization - Balance Substitution In Loans Substitution Out Loans Substitution Adjustment - Principal Loans w/ Prepayment Penalties - Balance Loans w/ Prepayment Penalties - Count Repurchase Loans - Count Subsequent Recoveries NON-RETAINED FEES: Excess Servicing Fee RETAINED FEES: Servicing Fee LPMI Special Servicing Fee Additional Master Servicing Fee Backup Servicing Fee Supplemental Insurance Fee Retained Interest 31,896, , , ,405, , , , , , , , , , , , % % % 352, , Page 5 of 7

8 DELINQUENCY SUMMARY REPORT Group 1 Group Current days days days days TOTAL Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) % of Bal* Current ,855, ,855, % Delinquent , , ,636, ,922, % Bankruptcy 1 116, , , ,600, ,908, % Foreclosure ,123, ,123, % REO , , % TOTAL ,971, ,069, , , ,956, ,405, % Lien Type Current days days days days TOTAL Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) % of Bal* First Current ,621, ,621, % Delinquent , , ,636, ,922, % Bankruptcy 1 116, , , ,600, ,887, % Foreclosure ,123, ,123, % REO , , % Second Current 8 233, , % Delinquent % Bankruptcy , , % Foreclosure % REO % TOTAL ,971, ,069, , , ,956, ,405, % Loan Type ** Current days days days days TOTAL Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) Count Balance ($) % of Bal* ARM Current 99 12,345, ,345, % Delinquent , , , ,748, % Bankruptcy 1 116, , ,352, ,559, % Foreclosure ,872, ,872, % REO , , % FIX Current 86 7,510, ,510, % Delinquent , , ,174, % Bankruptcy , , , % Foreclosure ,250, ,250, % REO , , % TOTAL ,971, ,069, , , ,956, ,405, % * Percentages are based on scheduled balance as a percent of total pool scheduled balance. ** Based on modified loan terms, if applicable. Page 6 of 7

9 PREPAYMENT & LIQUIDATION LOAN DETAIL REPORT Original Group Count Balance Prepayment Liquidation Begin Balance 7 879, , , ,896, % 0.26% 99.04% 1 Prepayment 0.70% Liquidation 0.26% Beginning Balance 99.04% Total: 10% Loan Num Original Beginning Scheduled Prepayments Liquidation Loss Add'l Loss Payoff Description Paid Off Add'l Loss Loan Loss Prepay State Lien Balance Balance Principal Incl Curtail Proceeds Date Date Rate Severit Penalty , Liquidation 07/16/2015 0% FL , Liquidation 06/16/2017 0% MI ,40 55, , Liquidation 07/17/ % 100% PA ,90 153, , , Liquidation 07/17/ % % GA ,72 193, , Modification Loss 5.000% 0.050% NH ,00 144, , ,50 Modification Loss 06/27/ % % MI , , , Voluntary PIF 06/02/ % OH 1 Total: 7 879, , , , , Page 7 of 7

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