\\( > \\) Reverse mortgages have also become important to the home-owning population as they approach retirement and seek ways to supplement their retirement income. \\( > \\) For example, assume that a household owns a residential property worth \\( \\$ 500,000 \\) today. They would like to use the value of the property to supplement their retirement income with a reverse mortgage. A lender agrees to make a loan in an amount not to exceed \\( \\$ 250,000 \\) for a period of 10 years. However, instead of giving the borrower cash in the amount of \\( \\$ 250,000 \\), the lender agrees to let the borrower take down the loan in monthly installments over the life of the mortgage. The lender will charge an interest rate of 6 percent on the loan. What will be the maximum monthly payments that the lender will make to the borrower
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