Derek plans to buy a $$32,702\mathrm{.}00$ car. The dealership offers zero percent financing for $51\mathrm{.}00$ months with the first payment due at signing $($today$).$ Derek would be willing to pay for the car in full today if the dealership offers him $$\_\_\_\_$ cash back. He can borrow money from his bank at an interest rate of $5\mathrm{.}29\%.$

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Answer format: Currency: Round to: $2$ decimal places.