You are considering buying a new car worth $15,000. You can finance the car either by withdrawing cash from your savings account, which earns 8% interest compounded monthly, or by borrowing $15,000 from your dealer for four years at 11% interest compounded monthly. You could earn $5,635 in interest from your savings account in four years if you leave the money in the account. If you borrow $15,000 from your dealer, you pay only $3,609 in interest over four years, so it makes sense to borrow for your new car and keep your cash in your savings account. Do you agree or disagree with the foregoing statement? Justify your reasoning with a numerical calculation.