Deutsche Asset Management [LOGO] A Member of the Deutsche Bank Group Chief Executive Officer Section 906 Certification under Sarbanes Oxley Act I, Richard T. Hale, certify that: 1. I have reviewed this report, filed on behalf of Deutsche Money Market Fund, a series of Scudder Advisor Funds III, on Form N-CSR of the Deutsche Money Market Fund (the "Company"); 2. Based on my knowledge and pursuant to 18 U.S.C. ss. 1350, the periodic report on Form N-CSR (the "Report") fully complies with the requirements of ss. 13 (a) or ss. 15 (d), as applicable, of the Securities Exchange Act of 1934 and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company. February 27, 2004 /s/Richard T. Hale Richard T. Hale Chief Executive Officer Deutsche Money Market Fund, a series of Scudder Advisor Funds III Deutsche Asset Management [LOGO] A Member of the Deutsche Bank Group Chief Financial Officer Section 906 Certification under Sarbanes Oxley Act I, Charles A. Rizzo, certify that: 1. I have reviewed this report, filed on behalf of Deutsche Money Market Fund, a series of Scudder Advisor Funds III, on Form N-CSR of the Deutsche Money Market Fund (the "Company"); 2. Based on my knowledge and pursuant to 18 U.S.C. ss. 1350, the periodic report on Form N-CSR (the "Report") fully complies with the requirements of ss. 13 (a) or ss. 15 (d), as applicable, of the Securities Exchange Act of 1934 and that the information contained in the Report fairly presents, in all material respects, the financial condition and results of operations of the Company. February 27, 2004 /s/Charles A. Rizzo Charles A. Rizzo Chief Financial Officer Deutsche Money Market Fund, a series of Scudder Advisor Funds III