Question $2\mathrm{.}3(20$pts$)$ You are considering buying a new car worth $$25\mathrm{.}000.$ You can finance

the car either by withdrawing cash from your saving account, which earns $10\%$ compounded

monthly or by borrowing $$25\mathrm{.}000$ from your dealer for five years at $13\%$ interest compounded

monthly. You can earn $$16\mathrm{.}132,72$ in interest from your savings account in five years if you leave

the money in the account. If you borrow $$25\mathrm{.}000$ from your dealer, you pay only $$9\mathrm{.}030,83$ in

interest over five years, so it makes sense to borrow for your new car and keep your cash in your

saving account. Do you agree or disagree with the foregoing statement? Justify your reasoning

with a numerical calculation.