Let M subscript t denote the initial money supply. A friend of yours does not trust banks and keeps all his money in cash. He buys an old car for $20,000. The seller deposits the money in her checking account in Citibank. The bank keeps 10% of the deposit in reserve and lends the rest to Jack. Jack keeps $1,000 in cash and spends the remainder on NVIDIA stock. The seller of the stock, Jane, transfers the whole amount to her checking account in Wells Fargo. Wells Fargo keeps 20% of the amount in reserve and lends to rest to Joshua. Joshua keeps $1,600 in cash and spends the rest on treasury securities. The seller of the securities happens to be the Fed. A fire in Joshua's uninsured house destroys $600 of his cash. Let M subscript t plus 1 end subscript denote the resulting money supply. Calculate the change in the money supply, M subscript t plus 1 end subscript minus M subscript t.
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