$1)$ A $$100($principal value$),$ multi$-$borrower $($multi$-$mortgage$)$ CMBS conduit bond securitization is issued. The Rating Agencies assign a subordination level to the BBB$-$ rated bonds of $9\%.$ Only one interest$-$only loan, with a principal balance of $$10,$ has problem over the life of the bond deal. The B Piece buyer$$s modeling, which assessed a $20\%$ P$.$O$.$D$.$ for that loan, and an L$.$G$.$D$.($Loss Severity$)$ for that loan of $15\%,$ proved correct. What was the total principal the B$-$Piece buyer received when the bonds it purchased paid off, at maturity?

a$)$ $$11\mathrm{.}25$

b$)$ $$9\mathrm{.}00$

c$)$ $$8\mathrm{.}70$

d$)30$ cents on the dollar, or $$6\mathrm{.}00,$ whichever is greater.