Response to the following problem:
An elderly lady owns a home for which she had completely paid. She arranges a reverse mortgage for $100,000 whereby she will receive monthly payments for the home form a bank. She will be allowed to live in the house until her death, whereupon her estate will receive the equivalent of the remaining payments in a lump sum. The bank then owns the home. One month after she turns 70, she begins receiving monthly payments on a 30-year reverse mortgage at 7% interest compounded monthly.