A financial engineer designs a new financial instrument that he calls, the Simplex. This instrument gives the holder access to the following cashflows:

For the first $6$ years, the holder receives $$100$ per year starting next year $($a total of $6$ payments$)$

The holder does not receive any cashflows for years $7,8$ and $9.$

Starting at the end of year $10,$ the holder receives $$75$ growing at a rate of $8\%$ per year forever

The holder has to pay a $$service fee$$ of $$10$ every year starting at the end of year $5$; this goes on forever.

The prevailing discount rate throughout is $10\%$

The financial engineer would like to determine a fair market price for this financial instrument, what do you suggest this price to be$?$