**Exhibit      31**

**Certification**

| 1.     | I                have reviewed this annual report on Form 10-K, and all reports on                Form 8-K                containing distribution or servicing reports filed in respect of                periods                included in the year covered by this annual report, of Caterpillar                Financial Asset Trust 2005-A;                                                                                                                                                                                                                   |
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| 2.     | Based                on my knowledge, the information in these reports, taken as a whole,                does                not contain any untrue statement of a material fact or omit to state                a                material fact necessary to make the statements made, in light of                the                circumstances under which such statements were made, not misleading                as of                the last day of the period covered by this annual                report;                                              |
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| 3.     | Based                on my knowledge, the distribution or servicing information required                to be                provided to the trustee by the servicer under the pooling and servicing,                or similar, agreement, for inclusion in these reports is included                in these                reports;                                                                                                                                                                                                                             |
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| 4.     | I                am responsible for reviewing the activities performed by the servicer                under the pooling and servicing, or similar, agreement and based                upon my                knowledge and the annual compliance review required under that agreement,                and except as disclosed in the reports, the servicer has fulfilled                its                obligations under that agreement; and                                                                                                                   |
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| 5.     | The                reports disclose all significant deficiencies relating to the servicer’s                compliance with the minimum servicing standards based upon the report                provided by an independent public accountant, after conducting a                review in                compliance with the Uniform Single Attestation Program for Mortgage                Bankers or similar procedure, as set forth in the pooling and servicing,                or similar, agreement, that is included in these                reports. |

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|--------|-------------------------------|--------|-----------------------------------------------------------------------|
|   |                          |   |                                                                  |
|   |                          |   | Caterpillar                Financial Asset Trust 2005-A               |
|   |                          | By:    | Caterpillar                Financial Funding Corporation (Registrant) |
|   |                          |   |                                                                  |
|   |                          |   |                                                                  |
|   |                          | By:    | */s/                Steven R. Elsesser*                               |
|   |                          |   | Steven                R. Elsesser                                     |
| Dated: | March                29, 2006 |   | Chief                Financial Officer                                |
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