Solution
8. In Westlandia, the public holds 50% of M1 in the form of currency, and the required
reserve ratio is 20%. Estimate how much the money supply will increase in response
to a new cash deposit of $500 by completing the accompanying table. (Hint: The first
row shows that the bank must hold $100 in minimum reserves—20% of the $500
8. As shown in the accompanying table, after 10 rounds, loans can expand by $666.60;
this is also the increase in the money supply at this point. (Although deposits increase
by $833.25, currency held by the public falls by $166.70—it initially fell by $500 and
eventually rose again by $333.30.) If the total amount of each loan is deposited in the
banking system (that is, the public does not hold any of the loans in currency), the
money supply would increase by ($500/0.2) − $500 = $2,000; deposits would increase
by $2,500. The money multiplier decreases in size as the public holds a greater per-
centage of loans in currency.
Required Excess Held as
Round Deposits reserves reserves Loans currency
1 $500.00 $100.00 $400.00 $400.00 $200.00
2 200.00 40.00 160.00 160.00 80.00
Required Excess Held as
Round Deposits reserves reserves Loans currency
1 $500.00 $100.00 $400.00 $400.00 $200.00
2 200.00 ? ? ? ?
3 ? ? ? ? ?
4 ? ? ? ? ?
10 rounds ? ? ? ? ?
S-200 CHAPTER 14 MONEY, BANKING, AND THE FEDERAL RESERVE SYSTEM
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