Smith lends $$10,000$ to be repaid over $25$ years in equal installments at the end of every six months. Smith expects a nominal annual rate of return over $25$ years of $10\%$ compounded semiannually. Fifteen years later, just after receiving the installment then due, Smith sells the loan. Smith's nominal annual rate of return is $8\%$ compounded semiannually over the fifteen$-$year period. In which of the following ranges is the amount Smith receives for the sale of the loan?