Example $21$ Dark Co$.$ purchases land and constructs a service station and car wash for a total of $\backslash (\backslash$$ $675,000\backslash ).$ At January $2,20$X$1,$ when construction is completed, the facility and land on which it was constructed are sold to a major oil company for $\backslash (\backslash$$ $750,000\backslash )$ and immediately leased from the oil company by Dark. Fair value of the land at time of the sale was $\backslash (\backslash$$ $750,000\backslash ).$ The lease is a $10-$year, noncancelable lease. Dark uses straight$-$line depreciation and amortization for its other various business holdings. The economic life of the facility is $15$ years with zero salvage value. Title to the facility and land will pass to Dark at termination of the lease. A partial amortization schedule for this lease is as follows: a$.$ What is the discount rate implicit in the amortization schedule presented above? $($Hint Answer: $10\backslash \%)$ b$.$ What is the amount of the lessee's liability to the lessor after the December $31,20$X$3$ payment? $($Rounded to the nearest dollar.$)($Hint Answer: $594,235)$