Suppose that you have the option to lease a new Mitsubishi Eclipse, which you otherwise intend to buy. You must put $$2000$ down, and will make payments of $$307$ per month for $48$ months, at the beginning of each month. Upon termination, you can purchase the car for an additional payment of $$7000$ at lease expiration. Alternatively, the dealer has offered to finance the purchase at $6\mathrm{.}7\%$ APR for $48$ months, with nothing down, yielding payments of $$467$ per month at the end of each month. If you choose to purchase the car using dealer financing, rather than choosing the lease$-$purchase option, how much have you saved $(+)$ or lost $(-)$ on the effective purchase price of the car in dollars and cents. $($make your answer positive when you save, negative when you are paying more.$)$ Please answer in $4$decimal form