A loan of $100,000$ is to be repaid with level payments that are made at the end of year for $10$ years, based on an annual effective

interest rate of $4\%.$

Immediately after the second payment, the interest rate increases to $6\%.$ The level payment amount remains unchanged, but the tenth

payment becomes a balloon payment.

Calculate the amount of the balloon payment.

$21,326$

$22,605$

$23,326$

$24,658$

$24,895$