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Assume that the Fed purchases a security for $12,500 from FirstBank. Also assume

ID: 1176558 • Letter: A

Question

Assume that the Fed purchases a security for $12,500 from FirstBank. Also assume that the reserve ratio is 0.2 (20%). FirstBank lends its excess reserves to Betty, who does her banking at SecondBank. SecondBank lends its excess reserves to Charlie, who does his banking at ThirdBank. ThirdBank lends its excess reserves to Donna, who does her banking at FourthBank. Assume a simple money creation model, with no cash drain, no time deposits, and banks desire to hold no excess reserves. How does the open market purchase affect the T-accounts for FirstBank, SecondBank and ThirdBank? What is the total increase in deposits that results from the initial change in reserves?

Explanation / Answer

Fed purchase $12,500 from FirstBank

FirstBank T-account

A                                        L

Sec -12500                      Deposits 12,500

Reserves 2,500

Loans 10,000

SecondBank T-account

A                                          L

Sec. 10,000                      Deposits 10,000

Reserves 2,000

Loans 8,000

ThirdBank T-Account

A                                         L

Sec. 8,000                        Deposits 8,000

Reserves 1,600

Loans 6,400

FourthBank T-account

A                                          L

Sec. 6,400                          Deposits 6,400

Reserves 1,280

Loans 5,120

Therefore total increase in deposits = 12,500 + 10,000+ 8,000+ 6,400=$36,900