Final answer:
To reassure a bank about loan repayment, a borrower can offer a down payment or collateral, provide financial statements and credit history, or secure a co-signer.
Step-by-step explanation:
When a borrower is looking for a loan and wants to reassure the bank amidst imperfect information about loan repayment capabilities, several strategies can be employed. First, the borrower can offer a down payment or collateral, which reduces the risk for the bank by providing something of value that can be claimed in case of default. Another approach is to provide financial statements and credit history, proving their creditworthiness and demonstrating a reliable payment history. Finally, securing a co-signer who agrees to pay back the loan if the borrower cannot, substantially decreases the risk for the bank.