In general, most information including the payment history of your installment loans will stay on your credit report for a maximum of 7 years. This includes everything from foreclosures and short sales to collection accounts, late payments, chapter 13 bankruptcies and judgements.
The exception to this rule is student loans which remain on your credit report indefinitely or 7 years from the last date paid and chapter 7 bankruptcies which remain for 10 years.