Determine the capital value $($i$.$e$.,$ purchase price$)$ of an investment in mining that is expected to provide a net annual income of $$133,000$ for $13$ years and the have no income or residual value. This investment is expected to yield $14\%$ compounded annually, and a depletion reserve earning $10\mathrm{.}5\%$ annually can be set up$.(6$ marks$)$ Income $=$$$133,000$

If the mine described in Problem $8$ could be sold for $$6,000$ when it was exhausted, what would be the capital value of the mine then? $(6$ marks$)$