Noor takes out a loan of $$25\mathrm{.}000$ from the ABC Company. It is due in $5$ years with semi$-$annual compounded interest at $6\%.$ After $18$ months, she sells the loan to the XYZ Company at a price that will earn a rate of return of $5\%$ compounded quarterly. What price does XYZ pay? $$26\mathrm{.}934\mathrm{.}58$ $$27\mathrm{.}318\mathrm{.}18$ $$28,264,75$ $$28,234\mathrm{.}61$