Silverstone Co$.$ is considering two options for acquiring a new company car. Details on the two options are:

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$$ Option $1.$ Lease the car for $4$ years at an annual payment of $$14,000$ to be made at the end of each year; an additional $$24,000$ payment would be required at the end of the lease. The interest rate on this option is $11\%.$

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$$ Option $2.$ Purchase the car on a $4$ year note at an annual payment of $$18,000$ to be made at the end of each year. The interest rate on this option is $11\%.$