Collection agencies will often accept an offer of partial payment as payment in full because they "buy" debts from the original creditor at a fraction of the dollar amount outstanding. If you have an account in collection, it never hurts to offer to make a partial payment. In this sort of arrangement, however, the entire amount must usually be paid in a lump sum.
1234, Main Street
Boston, MA 02123
04 April, 2005
<Recipient Address Goes Here>
Re: Account No. <account number>
Concerning the outstanding balance on the above-referenced account, I would like to make an offer of partial payment to be accepted as payment in full. I understand the full amount of the debt is currently <full amount $>. I would be willing to make a lump sum payment of <payment offer> to satisfy this delinquent debt.
Please advise if this arrangement is acceptable to you. I look forward to hearing from you.
encl: <List of enclosed items goes here>