Bob and Carol are divorcing. Among other assets which must be split up is a forty-year annuityimmediate which they purchased ten years ago with level payments of $1,000 per month. Bob would like a lump sum payment while Carol would prefer to continue to receive monthly payments for the thirty years remaining on the annuity. If the prevailing interest rate is a nominal 11% annually compounded monthly, what lump sum payment to Bob would be fair? What will Carol's new payments be