A mortgage contract for $$48,400$ written $10$ years ago is just at the end of its second five$-$year term. The interest rates were $8\%$

compounded semiannually for the first term and $7\%$ compounded semiannually for the second term. If monthly payments throughout

have been based on the original $25-$year amortization, calculate the principal balance at the end of the second term assuming the

amortization period of $20$ years on renewal after the first five years. $($Round your answer to the nearest cent.$)$