A $1,000$ square foot office space is leased at $$15\mathrm{.}00$ per square foot during the first year with $$2\mathrm{.}00$ step$-$up provisions each of the following years. The lease is gross with an expense stop set at $$6\mathrm{.}65$ per square foot, and yearly expenses per square foot are as follows: $$6\mathrm{.}00,$ $$6\mathrm{.}65,$ and $$7\mathrm{.}05.$ The lease provides for two months of free rent at the end of the lease term. If the lease term is three years and the discount rate is $10\%,$ what is the effective rent per square foot?

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