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Chapter 16 The Money Supply Process Copyright 2011 Pearson Canada Inc. 16 - 1 Chapter 16 The Money Supply Process Copyright 2011 Pearson Canada Inc. 16 - 1

Players in the Money Supply Process • Central bank (Bank of Canada) • Banks Players in the Money Supply Process • Central bank (Bank of Canada) • Banks (depository institutions; financial intermediaries) • Depositors (individuals and institutions) Copyright 2011 Pearson Canada Inc. 16 - 2

Bank of Canada’s Balance Sheet I Bank of Canada Assets Liabilities Government securities Notes Bank of Canada’s Balance Sheet I Bank of Canada Assets Liabilities Government securities Notes in circulation Advances to banks Reserves • Monetary Liabilities – Notes in circulation—in the hands of the public – Reserves - bank deposits at Bank of Canada and vault cash • Assets – Government securities - holdings by the Bank of Canada that affect money supply and earn interest – Advances to banks - provide reserves to banks and earn the discount rate Copyright 2011 Pearson Canada Inc. 16 - 3

Bank of Canada’s Balance Sheet II • Monetary liabilities of the Bank = Notes Bank of Canada’s Balance Sheet II • Monetary liabilities of the Bank = Notes in circulation + Settlement balances • Monetary base = Bank of Canada’s monetary liabilities + Royal Canadian Mint’s monetary liabilities (coins in circulation) Copyright 2011 Pearson Canada Inc. 16 - 4

Bank of Canada’s Balance Sheet III • Define: – Currency = Notes + Coins Bank of Canada’s Balance Sheet III • Define: – Currency = Notes + Coins – Reserves = Vault cash + Settlement balances • Banks hold desired reserves to manage their short term liquidity requirements and respond to clearing drains and currency drains • Reserves above that desired are known as excess reserves Copyright 2011 Pearson Canada Inc. 16 - 5

Monetary Base • MB = C + R – MB: monetary base (high-powered money) Monetary Base • MB = C + R – MB: monetary base (high-powered money) – C: currency in circulation (notes and coins held by the public outside banks) – R: total reserves in the banking system (vault cash + settlement balances) • The Bank of Canada controls the monetary base through open market operations and advances to banks Copyright 2011 Pearson Canada Inc. 16 - 6

Open Market Purchase from a Bank of Canada purchases $100 of bonds from a Open Market Purchase from a Bank of Canada purchases $100 of bonds from a bank and pays them with a $100 cheque Banking System Assets Bank of Canada Liabilities Securities -$100 Reserves Assets Securities Liabilities +$100 Reserves +$100 • Net result is that reserves have increased by $100 • No change in currency • Monetary base has risen by $100 Copyright 2011 Pearson Canada Inc. 16 - 7

Open Market Purchase from Nonbank Public I Non bank public sells $100 of bonds Open Market Purchase from Nonbank Public I Non bank public sells $100 of bonds to the Bank of Canada and deposits the Bank’s cheque in the local bank Banking System Assets Reserves Bank of Canada Liabilities +$100 Chequable deposits +$100 Assets Securities Liabilities +$100 Reserves +$100 • Person selling bonds to the Bank of Canada deposits the Bank’s cheque in the bank • Identical results as the purchase from a bank Copyright 2011 Pearson Canada Inc. 16 - 8

Open Market Purchase from Nonbank Public II The person selling the bonds cashes the Open Market Purchase from Nonbank Public II The person selling the bonds cashes the Bank’s cheque Nonbank Public Assets Bank of Canada Liabilities Securities -$100 Currency Assets Securities Liabilities +$100 Currency in circulation +$100 • Reserves are unchanged • Currency in circulation increases by the amount of the open market purchase • Monetary base increases by the amount of the open market purchase Copyright 2011 Pearson Canada Inc. 16 - 9

Open Market Purchase: Summary • The effect of an open market purchase on reserves Open Market Purchase: Summary • The effect of an open market purchase on reserves depends on whether the seller of the bonds keeps the proceeds from the sale in currency or in deposits • The effect of an open market purchase on the monetary base (MB) always increases the base by the amount of the purchase Copyright 2011 Pearson Canada Inc. 16 - 10

Open Market Sale Bank of Canada sells $100 of bonds to a bank or Open Market Sale Bank of Canada sells $100 of bonds to a bank or the nonbank public Nonbank Public Assets Bank of Canada Liabilities Securities +$100 Currency Assets Securities Liabilities -$100 Currency in circulation -$100 • Reduces the monetary base by the amount of the sale • Reserves remain unchanged • The effect of open market operations on the monetary base is much more certain than the effect on reserves Copyright 2011 Pearson Canada Inc. 16 - 11

Shifts from Deposits into Currency Nonbank Public Assets Banking System Liabilities Chequable deposits +$100 Shifts from Deposits into Currency Nonbank Public Assets Banking System Liabilities Chequable deposits +$100 Currency Assets Reserves Liabilities -$100 Bank of Canada Assets Liabilities Currency in circulation +$100 Reserves -$100 +$100 Cheqeable deposits -$100 • Net effect of monetary liabilities is zero. • Reserves are changed by random fluctuations. • Monetary base is more stable Copyright 2011 Pearson Canada Inc. 16 - 12

Bank of Canada Advances When the Bank makes a $100 loan to the First Bank of Canada Advances When the Bank makes a $100 loan to the First Bank, the bank is credited with $100 of reserves (settlement balances) from the proceeds of the loan Banking System Assets Reserves Bank of Canada Liabilities +$100 Advances +$100 Assets Advances Liabilities +$100 Reserves +$100 • Monetary liabilities of the Bank of Canada have increased by $100 • Monetary base also increases by this amount Copyright 2011 Pearson Canada Inc. 16 - 13

Paying Off a Loan from the Bank of Canada A loan is from the Paying Off a Loan from the Bank of Canada A loan is from the Bank of Canada is paid off by a bank Banking System Assets Reserves Bank of Canada Liabilities -$100 Advances -$100 Assets Advances Liabilities -$100 Reserves -$100 • Net effect on monetary base is a reduction • Monetary base changes one-for-one with a change in the borrowings from the Bank of Canada Copyright 2011 Pearson Canada Inc. 16 - 14

Other Factors Affecting the Monetary Base 1. Float 2. Government deposits at the Bank Other Factors Affecting the Monetary Base 1. Float 2. Government deposits at the Bank of Canada • Although technical and external factors complicate control of the monetary base, they do not prevent the Bank of Canada from accurately controlling it Copyright 2011 Pearson Canada Inc. 16 - 15

Deposit Creation: Single Bank First Bank Assets First Bank Liabilities Assets Liabilities Securities -$100 Deposit Creation: Single Bank First Bank Assets First Bank Liabilities Assets Liabilities Securities -$100 Chequable deposits Reserves +$100 Loans +$100 Excess reserves increase First Bank Assets Liabilities Securities -$100 Loans +$100 Bank loans out the excess reserves Creates a chequing account Borrower make purchases The money supply has increased Copyright 2011 Pearson Canada Inc. 16 - 16

Deposit Creation: The Banking System $100 of deposits created by First Bank’s loan is Deposit Creation: The Banking System $100 of deposits created by First Bank’s loan is deposited at Bank A. This bank and all other banks hold no excess reserves Bank A Assets Reserves Bank A Liabilities +$100 Chequable deposits Assets +$100 Reserves Loans Reserves +$100 Bank B Liabilities +$90 Chequable deposits Assets +$90 Reserves Loans Copyright 2011 Pearson Canada Inc. +$10 Chequable deposits +$90 Bank B Assets Liabilities +$9 Chequable deposits +$90 +$81 16 - 17

Creation of Deposits Copyright 2011 Pearson Canada Inc. 16 - 18 Creation of Deposits Copyright 2011 Pearson Canada Inc. 16 - 18

The Formula for Multiple Deposit Creation Copyright 2011 Pearson Canada Inc. 16 - 19 The Formula for Multiple Deposit Creation Copyright 2011 Pearson Canada Inc. 16 - 19

Simple Deposit Multiplier Copyright 2011 Pearson Canada Inc. 16 - 20 Simple Deposit Multiplier Copyright 2011 Pearson Canada Inc. 16 - 20

Multiple Deposit Creation: The Banking System Desired reserve ratio = 10%. If reserves increase Multiple Deposit Creation: The Banking System Desired reserve ratio = 10%. If reserves increase by $100, chequable deposits rise to $1000 in order for total desired reserves to also increase by $100 Banking System Assets Liabilities Securities - $100 Deposits + $1000 Reserves + $100 Loans + $1000 Copyright 2011 Pearson Canada Inc. 16 - 21

Critique of the Simple Model • Holding cash stops the process • Banks may Critique of the Simple Model • Holding cash stops the process • Banks may not use all of their excess reserves to buy securities or make loans Copyright 2011 Pearson Canada Inc. 16 - 22

Factors that Determine the Money Supply • Changes in the Non-borrowed monetary base (MBn) Factors that Determine the Money Supply • Changes in the Non-borrowed monetary base (MBn) - the money supply is positively related to the non-borrowed monetary base (MBn) • Changes in advances from the Bank of Canada - the money supply is positively related to the level of borrowed reserves (BR) from the Bank of Canada Copyright 2011 Pearson Canada Inc. 16 - 23

Factors that Determine the Money Supply II • Changes in the Desired Reserve Ratio, Factors that Determine the Money Supply II • Changes in the Desired Reserve Ratio, r – The money supply is negatively related to the desired reserve ratio • Changes in Currency Holdings – The money supply is negatively related to the currency holdings Copyright 2011 Pearson Canada Inc. 16 - 24

The Money Multiplier • Define money as currency plus chequable deposits: M 1 • The Money Multiplier • Define money as currency plus chequable deposits: M 1 • The Bank of Canada can control the monetary base better than it can control reserves • Link the money supply (M) to the monetary base (MB) and let m be the money multiplier M = m x MB Copyright 2011 Pearson Canada Inc. 16 - 25

Deriving the Money Multiplier I • Assume the desired level of currency (C) and Deriving the Money Multiplier I • Assume the desired level of currency (C) and excess reserves (ER) grows proportionately with chequable deposits (D) Then: c = (C/D) = currency ratio e = (ER/D) = excess reserve ratio Copyright 2011 Pearson Canada Inc. 16 - 26

Deriving the Money Multiplier II • The total amount of reserves (R) equals the Deriving the Money Multiplier II • The total amount of reserves (R) equals the sum of desired reserves (DR) and excess reserves (ER) R = DR + ER • The total amount of desired reserves equals the desired reserve ratio times the amount of chequable deposits DR = r x D • Substituting for DR R = (r x D) + ER The banks set r to be less than 1 Copyright 2011 Pearson Canada Inc. 16 - 27

Deriving the Money Multiplier III • The monetary base (MB) equals currency (C) plus Deriving the Money Multiplier III • The monetary base (MB) equals currency (C) plus reserves (R) MB = R + C = (r x D) + ER + C • Shows the monetary base needed to support existing amounts of D, C, ER • An increase in MB going into C is not multiplied, but an increase in MB going into D is multiplied Copyright 2011 Pearson Canada Inc. 16 - 28

The Money Multiplier in Terms of the Currency Ratio • • MB = (C The Money Multiplier in Terms of the Currency Ratio • • MB = (C x D) + (r x D) = (c + r) x D D = 1/(c+r) x MB M=C+D M = (c x D) + D = (1 + C)D M = (1+c)/(1+r) x MB M = (1+c)/(1+r) While there is a multiple expansion of deposits, there is no such expansion for currency Copyright 2011 Pearson Canada Inc. 16 - 29

Money Supply Response to Changes in the Factors Split the monetary base into two Money Supply Response to Changes in the Factors Split the monetary base into two components M = m x (MBn + BR) • The money supply is positively related to both the non-borrowed monetary base MBn and to the level of borrowed reserves, BR, from the Bank of Canada Copyright 2011 Pearson Canada Inc. 16 - 30

Desired Reserve Ratio and Currency Ratio 1929 -1933 Copyright 2011 Pearson Canada Inc. 16 Desired Reserve Ratio and Currency Ratio 1929 -1933 Copyright 2011 Pearson Canada Inc. 16 - 31

M 1 and the Monetary Base, 1929 -1933 Copyright 2011 Pearson Canada Inc. 16 M 1 and the Monetary Base, 1929 -1933 Copyright 2011 Pearson Canada Inc. 16 - 32