Louisa owns a furniture store and decided to help a friend out by allowing him to purchase $$5,000$ of furniture using her

credit at $6\mathrm{.}25\%$ compounded semi$-$annually. The furniture loan is to be repaid in four years. However, after $2(1)/(2)$ years

Louisa can no longer have the loan outstanding and needs the money. Avco Financial has agreed to purchase the maturity

amount of this loan from Louisa using a discount rate of $17\mathrm{.}1\%$ compounded monthly. If Louisa proceeds with selling the

loan contract to Avco Financial, what sum of money can she expect to receive?