$1.$Suppose Jane has agreed to make $$457$ payments at the end of every year for $7$ years on a loan. How much would she have to pay today, if she decided to pay off the loan in one lump sum? The interest rate on the loan is $10\%.$

$2.$What if Jane is to make the loan payments at the beginning of every year, starting today. How much does she have to pay today to pay off the loan in one lump sum? The interest rate is still $10\%.$