mt plictlbkmonetary policy, central banks, and money...

M t P li C t l B kMonetary Policy, Central Banks,and Money Markets

Topic 5Topic 5

1 Macroeconomics 302 - Lecture 5

Goals of Topic 5Goals of the Lecture

Introduction to the Money Market.

Money Supply: Central Bank and the Banking sector.

Role of the Banking System and Monetary Policy.

Money Demand: Portfolio Decision (how to allocate wealth across assetMoney Demand: Portfolio Decision (how to allocate wealth across asset markets).

Derive the Equilibrium on the Asset market - derive LM curve Equilibrium in Derive the Equilibrium on the Asset market - derive LM curve. Equilibrium in the money MKT. (It is going to help us pin down the price level in the economy – when we put everything together in Topic 6).

Macroeconomics 302 - Lecture 52

Definition of Money

We define Money as the Asset Used To Make Payments.

Money is a medium of exchange. (Legal tender in many countries – by law it cannot be refused in honoring a payment). Facilitates transactions (think of difficulties with barter)difficulties with barter).

Money is a unit of account. (Allows to compare heterogeneous goods and services)services).

Money is a store of value. (Allows intertemporal transfers of resources).


Monetary Aggregates

We measure Money in the economy through Monetary Aggregates.

They are the official measure of the money stock.

M1 = the most liquid aggregate. Includes Cash and Checking Accounts.

M2 = the second most liquid aggregate Includes M1 and other less liquid assets M2 = the second most liquid aggregate. Includes M1 and other less liquid assets like Money Market Instruments and some types of Saving Deposits.

G ll h t lk b t M ill M1 Generally when we talk about Money we will mean M1.


US M1 Money Stock


Money Supply: Basics

The amount of money available in the economy is determined by the Central Bank (CB). The CB is the administrative unit of government in charge of monetary policy (setting the Money Supply).

The intuition of how the supply of money is directly affected by the CB: pp y y y y

To increase the money supply the central bank acquires certain goods or titles (e g government bonds) from a market to which the public has access (hence an(e.g. government bonds) from a market to which the public has access (hence an OPEN MARKET) in exchange of currency (think of printing money for now). This increases the amount of M available in the economy.

To decrease the money supply the central bank sells certain assets (e.g. government bonds) in a market to which the public has access (hence an OPEN MARKET) in exchange of currency (taking back money) This decreases the


MARKET) in exchange of currency (taking back money). This decreases the amount of M available in the economy.

Money Supply: Basics (Cont.)

The CB also exerts influence by being the monopoly supplier of the reserves that back the supply of bank money.

Bank Reserves are liquid assets held by banks at the CB to meet the demand for withdrawals by depositors or to pay out checks.

By reducing the supply of reserves, it can cause the supply of bank money to fall—and market interest rates to rise.

Next slide on how this works.

Reading on the Economist (“Who needs money?”) about the plausibility of a decrease in importance of bank money and the role of Central Banks when non-bank money (credit cards pension funds insurers and mutual funds) enters the


bank money (credit cards, pension funds, insurers, and mutual funds) enters the picture. Ben Friedman at Harvard thinks so.

The Banking System: An Introduction

Central Bank Assets and Liabilities: Assets: Treasuries + Financial Assets Liabilities: TC + Reserves (TR).

Private Bank Assets and Liabilities:Private Bank Assets and Liabilities: Assets: Loans (TL) + Reserves (TR) + Treasuries + Financial Assets Liabilities: Deposits (TD).

E it A t Li biliti Equity = Assets-Liabilities

How do banks make money? They Lend. How much do they lend? Must keep reserves (required by law). Assume banks lend all they can: TR = m TD,

where m = required reserve ratio


where m required reserve ratio Fractional reserve banking (m < 1).

The Banking System: An Introduction

Some Important Equations:

TD = TL + TR (money held within the banking system)

ΔTD = ΔTL + ΔTRΔTD ΔTL + ΔTR

Ms = TC + TD Ms = Money SupplyTC = Total Currency in CirculationTC Total Currency in Circulation

(outside banking system)

Δ M = ΔTC + ΔTD Δ Ms = ΔTC + ΔTD

Δ Ms = ΔTC + ΔTR + ΔTL


The Banking System: An Example

Suppose I put $500 in the bank (removing it from under my mattress).

We call the $500 that starts the process the ‘Initial Deposit’ (ID)We call the $500 that starts the process the Initial Deposit (ID)*** Suppose that nobody else in the economy holds cash (TC = 0).*** Suppose banks lend to their limit.

Suppose that m = 0 1 Suppose that m = 0.1.

What happens in the banking system:Step 1: Deposits increase by $500 Bank has to only commitStep 1: Deposits increase by $500. Bank has to only commit

$50 to reserves. It can lend the rest!Step 2: Then, Deposits increase by another $450.Step 3: Then Deposits increase by another $405Step 3: Then, Deposits increase by another $405.Step 4: ………….(keep increasing)Step infinity: ………… (keep increasing)


Why do deposits keep increasing? LOANS!!!!


Step 1: Liabilities = 500 (TD) A t 450 (TL) + 50 (TR)Assets = 450 (TL) + 50 (TR)

S 2 Step 2: Liabilities = 500 + 450 (TD)Assets = (450 + 405) (TL) + (50 + 45) (TR)

Step 3:Liabilities = 500 + 450 + 405 (TD)Assets (450 + 405 +364.5) (TL) + (50 + 45 + 40.5) (TR) ….


How much do deposits increase by eventually? 5000 (= 500/0.1)


Step 1: Liabilities = 500 (TD) A t 450 (TL) + 50 (TR)

Initial increase ID

h b k l d Assets = 450 (TL) + 50 (TR)

S 2

The banks lend out all the assets

in excess of reserve

requirements Step 2: Liabilities = 500 + 450 (TD)Assets = (450 + 405) (TL) + (50 + 45) (TR)

requirements. Such assets are immediately re-

deposited.

Step 3:Liabilities = 500 + 450 + 405 (TD)Assets (450 + 405 +364.5) (TL) + (50 + 45 + 40.5) (TR) ….


How much do deposits increase by eventually? 5000 (= 500/0.1)

The Money Multiplier

Total Change in Deposits:

Change in Deposits = ID + ID (1-m) + ID(1-m)2 + …...= ID (1 + (1-m) + (1-m)2 + ….. )= ID (1/m) ID (1/m)

Money Multiplier (μm) = 1/m

Some caveats on the money multiplier:The holding of currency out of the banking system (TC > 0)Banks hold no excess reservesBanks hold no excess reservesDay to Day transactions don’t cause money supply to change significantly.Bank Runs can be important


Bank Runs can be important.

The CB in the Banking System

Who controls reserves? The Central Bank. What is the Federal Reserve (Fed)? U.S. Central Bank. ( ) What is the Bank of Canada? Canada’s Central Bank.

See Textbook Chapter 14 for details.See Textbook Chapter 14 for details.

How Can CB Affect Money Supply/Interest Rates? By creating reservesBy creating reserves.

How?a) Open Market Operations (Overnight/Fed Funds Rate used often)a) Open Market Operations (Overnight/Fed Funds Rate – used often)b) Reserve Ratio (not used very much)c) Discount Rate (not used very much)


Notes on Central Banks

The Central Bank is The Banks’ Bank. The Central Bank operates a clearinghouse for bank checks. Each member bank has an account with the Central Bank. In the U S th d it th t b k h ith th F d ll d f d l f d A l lU.S. the deposits that banks have with the Fed are called federal funds. A closely related term, which is not specific to the U.S., is bank reserves (which consist of deposits with the Central Bank plus “vault cash”, or currency in the bank’s cash machines teller drawers and vault) A check written against private bank A andmachines, teller drawers, and vault). A check written against private bank A and deposited with private bank B reduces bank A’s federal funds and increases bank B’s federal funds. Thus banks want federal funds so they can honor check withdrawals. They want vault cash to honor cash withdrawals. Upshot: banks needwithdrawals. They want vault cash to honor cash withdrawals. Upshot: banks need reserves to honor withdrawals.

Neither the Fed nor other major Central Banks (including BofC) target growth rates Neither the Fed nor other major Central Banks (including BofC) target growth rates of the money supply (which consists of currency plus various measures of liquid assets like deposits). (This concept is very Friedman-esque)


The BofC targets the overnight rate. Fed targets the federal funds rate.

Notes on Central Banks

Certain central banks are driven in their monetary policy decisions both by the goal of business cycle stabilization and stable price growth.

The Fed is one of these (Federal Reserve Act of 1913 requires this dual mandate.)( q )

The Bank of Canada, on the other hand, cares only about inflation stabilization.

According to bankofcanada.ca “Inflation-control targeting has been a cornerstone of monetary policy in Canada since its introduction in 1991. At present the target range is 1 to 3 per cent with the Bank's monetary policy aimed at keepingrange is 1 to 3 per cent, with the Bank s monetary policy aimed at keeping inflation at the 2 per cent target midpoint. […] One of the most important benefits of a clear inflation target is its role in anchoring expectations of future inflation.”


European Central Bank behaves more similarly to BofC.

What is the overnight rate?

Reserves are the deposits of private banks with the CB.

The reserves market consists of private banks borrowing and lending their excess reserves amongst each other overnight.

The effective overnight rate is the interest rate on these overnight loans. It is set by supply and demand, not the CB.y pp y ,

The CB can change the supply of reserves through open market operations exerting a powerful indirect effect on the overnightoperations, exerting a powerful indirect effect on the overnight rate.


The Bank of Canada Overnight rate: Target (Left) and Effective (Right)

Overnight rate target July 1996 present Overnight rate effective July 1996 present

(Right)

Overnight rate target, July 1996-present Overnight rate effective, July 1996-present

Note: They basically coincide. Central Banks have close to full control of short-term rates


term rates.

The US federal funds rate: Target (Blue) and Effective (Red)


The Overnight/Federal funds rate vs. the Discount rate

The discount rate is the interest rate on directThe discount rate is the interest rate on direct

loans from the CB to private banks. The CB sets

the discount rate Discount window loans play athe discount rate. Discount window loans play a

minor role in CB policy.

The CoB targets the overnight rate. The Fed

targets the federal funds rate. This target changes

over time. The CB carries out open market

operations to keep the actual rate near the target

Thi i h h f li


rate. This is the heart of monetary policy.

US FF and Discount rate (split into primary and secondary in 2003)


What are Open Market Operations?

Open market operations = Central Bank purchases and sales of government securities on the open market.

Open market purchase = A Central Bank purchase of government securities. The seller bank receives reserves payment in exchange.

Reserves

Central Bank Private Banks

=

Reserves =

Loans i


Government Bonds Fed Funds (US)

A CB Purchase of Government Securities …

Raises the supply of reserves. More reserves mean they are cheaper to borrow, so a lower overnight rate ensues. (An increase in the supply of federal funds lowers their “price”, the federal funds rate).

Drives up the price of those securities, which lowers their yield. ADrives up the price of those securities, which lowers their yield. A lower yield means a lower interest rate on government securities.

L b k fl h ith B k fi d it fit bl t t Leaves banks flush with reserves. Banks find it profitable to convert some of their new zero-interest-earning reserves into loans (which in turn creates more deposits, raising the money supply). To get

l / i b ( k h l h i )people/firms to borrow more (take the new loans they are offering), banks lower the interest rate on the loans.

Bottom Line: CB purchases of government securities increase


reserves and lower i.

The Federal funds rate and Prime rate


Canadian Primary Dealers of Government Securities …

Government Securities Distributors

Bank of MontrealBank of Montreal (treasury bills only)

Beacon Securities LimitedBMO Nesbitt Burns Inc. (marketable bonds only)

Canaccord Genuity Corp.Canadian Imperial Bank of Commerce

( i )(treasury bills only)Casgrain & Company Limited

CIBC World Markets Inc. (marketable bonds only)

CTI Capital Securities Inc.Desjardins Securities Inc.

Deutsche Bank Securities LimitedDeutsche Bank Securities LimitedHSBC Bank Canada(treasury bills only)

HSBC Securities (Canada) Inc.(marketable bonds only)

Laurentian Bank Securities Inc.Merrill Lynch Canada Inc.

National Bank Financial IncNational Bank Financial Inc.Ocean Securities Inc.

Odlum Brown LimitedPI Financial Corp.

RBC Dominion Securities Inc. Scotia Capital Inc.

The Toronto-Dominion Bank


What if the CB pays interest rate on Reserves?

Suppose banks are flush with reserves. Banks find it profitable to convert reserves into loans because they make money out of issuing loans (they transform low-yield into high-yield assets) .

However, for given amount of outstanding reserves (Fed Funds), if the Central Bank increases the interest rate on reserves, the incentive to issue new loans are loweredincentive to issue new loans are lowered.

So the CB can control how many new loans private banks issue by decreasing their opportunity cost.

Part of the 2010 US monetary exit strategy to absorb excess liquidity


Part of the 2010 US monetary exit strategy to absorb excess liquidity pumped in during the crisis.

What is Quantitative Easing?

Conventional Open Market operation: CB buys short-term Govmn’tBonds in exchange of reserves to increase money supply. This lowers short term rates because it affects the cost of reserves (fed funds overnight rate) and affects the yield of the short-term Treasuries (because their price increases due to CB’s demand).

QE: Unconventional monetary policy, CB buys (longer maturity) Financial Assets in exchange of reserves to increase money supplyFinancial Assets in exchange of reserves to increase money supply by a predetermined quantity of money. This lowers long-term rates because it affects the yield of the long-term assets purchased (because their price increases due to CB’s demand)(because their price increases due to CB’s demand).

QE aims at moving the long end of the Yield curve. It works even


when the short end is near zero.

Notes on FOMC directives

The Federal Reserve Open Market Committee (FOMC) meets every 6 weeks and issues a directive to the trading desk of the Federal Reserveweeks and issues a directive to the trading desk of the Federal Reserve Bank of New York.

Fed Time: the Desk carries out open market operations between 11:30 and 11:45 ET each trading day to keep the actual fed funds rate near the target.

The FOMC directive is also asymmetric or symmetric:• Symmetric:• No bias. Neutral stance (balance). Just as likely to raise as to

lower the target next.• Asymmetric:• A bias toward easing (more likely to lower than raise the target

next) or a bias toward tightening (more likely to raise than lower the target next)


the target next).

Typical FOMC Policy Decision

Federal Reserve: FOMC Press Release Release Date: April 30, 2008

“For immediate releaseThe Federal Open Market Committee decided today to lower its target for the federal funds rate 25 basis

points to 2 percent.

Recent information indicates that economic activity remains weak. Household and business spending has been subdued and labor markets have softened further. Financial markets remain under considerable stress, and tight credit conditions and the deepening housing contraction are likely to weigh on economic growth over the next few quarters.

Although readings on core inflation have improved somewhat, energy and other commodity prices have increased, and some indicators of inflation expectations have risen in recent months. The Committee expects inflation to moderate in coming quarters, reflecting a projected leveling-out of energy and other commodity prices and an easing of pressures on resource utilization. Still, uncertainty about the inflation outlook remains high It will be necessary to continue to monitor inflation developments carefullyoutlook remains high. It will be necessary to continue to monitor inflation developments carefully.

The substantial easing of monetary policy to date, combined with ongoing measures to foster market liquidity, should help to promote moderate growth over time and to mitigate risks to economic activity. The Committee will continue to monitor economic and financial developments and will act as needed to promote sustainable economic growth and price stability.


Recent FOMC Policy Decisions


Notes on FOMC directives (Cont.)

The Federal Reserve Open Market Committee (FOMC)

The minutes of the FOMC meetings are not public until over 6 weeks after each meeting.

Look at the federal funds rate futures in the WSJ to see what the market thinks.

If interested, read the book Maestro by Bob Woodward (book is a biography of Alan Greenspan’s Fed - goes into the workings of the Fed in gory detail).


The CB’s Balance Sheet

The CB receives interest on its assets (government securities, like treasuries).

The CB pays no interest on its liabilities (currency and reserves).

1997: Fed assets = $522 billion, on which it earned 5%, yielding $26 billion in interest income (called seignorage). Netting off the Fed’s $5 billion in e penses the Fed made $21 billionFed’s $5 billion in expenses, the Fed made $21 billion.

The Fed is highly profitable (its profits equal 0.26% of GDP), which fosters its independence. The Fed returns its profits to the Treasury. In this way, the portion of the public debt held by the Central Bank has been monetized (converted into currency and


( yreserves). The Treasury effectively pays no interest on this portion.

Does the CB affect the real economy?

Overnight rates may affect the real economy (Y) through 3 main channels. See reading “A Blunt Tool” in the Economist:

Affects the cost of borrowing in the market which, if reduced, stimulates current consumption by individuals and investment by firms. Interest rates

h l i i l l d i h h i hon short-term loans are positively correlated with the overnight rate. [Strongly dissenting view in Barro’s article.] C, I

Affects the prices of financial assets (equity prices). Lower interest rates lift share prices and this may boost consumer spending as private shareholders feel wealthier (income effect), or spur corporate investment by reducing the cost of capital. C, I

Affects the exchange rate. Looser monetary policy should push down the


dollar, boosting net exports. (US goods are cheaper for other countries). NX

Note: Slow transmission mechanism (up to 2 yrs.).

Percent Changes in the Federal funds rate and S&P 500


European Central Bank (ECB)

Sets Nominal Money Supply (Ms) in Euro Area.

Similar procedure to the Fed. The Rate on the Deposit Facility, which banks may use to make overnight deposits with the y g pEurosystem is the correspondent of fed funds rate. (now at 3%) and Marginal Lending Facility Rate (5%).

Main difference: on paper mainly focused on inflation (explicit inflation target 2%). No statutory concern for economic growth.

Economist’s reading on “Haughty Indifference”. Rates too high in Europe? Chocking investment and exports in a sluggish economy? Slower transmission mechanism than US due to less


economy? Slower transmission mechanism than US due to less developed credit markets?

Websites with more info

Overview of the Bank of Canada: http://www.bankofcanada.ca

The Fed and District Banks (see the Board of Governors website for FOMC minutes and speeches and testimony of FOMC members): p y )http://www.ny.frb.org/links.html

Foreign Central Banks: http://www.bog.frb.fed.us/centralbanks.htmForeign Central Banks: http://www.bog.frb.fed.us/centralbanks.htm

Fed Points (each explains something, e.g. how currency gets into circulation): http://www ny frb org/pihome/fedpoint/circulation): http://www.ny.frb.org/pihome/fedpoint/

Details on how open market operations work: htt // f b / ih / dd b/ ht l


http://www.ny.frb.org/pihome/addpub/omo.html

Recap: Money Supply

Nominal Money Supply (Ms)

Affected by the Central Bankffected by t e Ce t al a

Fed conducts monetary policy to modify Money Supply

- Open Market Operations - Change the Discount Rate - Change the Reserve Ratio


Money Demand

We are going to assume that in our economy there are only two t f t M t A t (M) d N M t A ttypes of assets. Monetary Assets (M) and Non-Monetary Assets (NM).

Monetary Assets (M) do not pay any nominal interest and Non Monetary Assets (M) do not pay any nominal interest and Non-Monetary Assets (NM) pay nominal interest i.

The quantity of Monetary Assets that individuals choose toThe quantity of Monetary Assets that individuals choose to hold is the demand for nominal money balances (i.e. Money Demand).

Individuals decide to allocate their wealth between M and NM assets (it is a portfolio allocation decision). So for given wealth level if an agent decides how much M to hold, she is also d idi NM


deciding NM.

Money Demand: Determinants

We will not derive a Money Demand Schedule but for simplicity we will assume (a realistic) one.

Nominal money demand is determined by:y y

1) the Price Level;

2) Real Income;

3) Interest Rate.


Money Demand: Determinants (Cont.)

Nominal money demand is proportional to the price level. For example, if prices go up by 10% then individuals need 10% more money for transactionsmore money for transactions.

As Y increases, desired consumption increases and so individuals need more money for the increased number of desiredneed more money for the increased number of desired transactions. This is the liquidity demand for money.

As the nominal interest rate on non-money assets (bonds) iAs the nominal interest rate on non money assets (bonds), i, increases the opportunity cost of holding money increases and so the demand for nominal money balances decreases.

Since i = r + πe, we can decompose the effects on an increase in i into real interest rate increases (holding expected inflation fixed) and expected inflation increases (holding the real interest rate fi ed)


fixed).

Money Demand: Determinants (Cont.)

Other determinants of Money Demand that we could also want to hi k bthink about are:

Inflation risk (if agents do not like risk holding money in their k t h th i k f hi h i fl ti i l t d dpockets when the risk of high inflation is elevated may decrease

their demand for money).

Alternative payment technologies If you can more easily do Alternative payment technologies. If you can more easily do without money (electronic payments, direct deposits) money demand decreases.

Liquidity of NM Assets. If interest-bearing assets become more liquid (closer substitute to Money) people will want to hold less money.


Money Demand Model

Our model for the demand for nominal money balances takes the f ll i ffollowing form

Md = P·Ld(Y, i)

where:

d d i l b l (d d )Md = demand for nominal money balances (demand for M1) Ld = demand for liquidity function P = aggregate price level (CPI or GDP deflator) Y = real income (real GDP) i = nominal interest rate on non-money assets


Money Demand Model (Cont.)

The demand for real balances. Since the demand for nominal balances is proportional to the aggregate price level, we can di id b th id f th i l d d ti b Pdivide both sides of the nominal money demand equation by P.

This gives the liquidity demand function or the demand for real balances function:balances function:

Md/P = Ld(Y, r + πe)

Th l ft h d id f th b ti i th d d f The left-hand-side of the above equation is the demand for nominal balances divided by the aggregate price level or the demand for real balances (the real purchasing power of money).

The right-hand side is the liquidity demand function. The demand for real balances is decomposed into a transactions demand for money (captured by Y) and a portfolio demand for money


(captured by r and πe).

Money Demand


Money Demand/Money Supply Interactions

The Money Market is in Equilibrium when

Real Money Demand = Real Money Supply

where Real Money Supply = Ms/PReal Money Demand = Md/P = Ld(Y, r + πe)

Note: The money supply curve does not change with interest rates (it is vertical).

Important questions for tests:What shifts real money supply: M, P


What shifts real money demand: Y, W, liquidity of NM, πe

Money Market Equilibrium

Money Market

Ms/P

0r

M /P= L (Y r+πe)Md/P= Ld(Y, r+πe)

M/P


Money Market Equilibrium

Money Market

Ms/P

0r

r’ 1

M /P = L (Y r+πe)

M’d

rM’s

1

At 1 d d f t t i l th l P l t t h ld t f NM

Md /P = Ld(Y, r+πe)

M/P


At 1 demand for monetary assets is larger than money supply. People want to hold too few NM assets and too many M assets. So prices of NM will go down and interest rates will go up.

Money Demand/Money Supply Interactions (Cont.)

The Money MKT equilibrium produces the equilibrium on the N M t A t MKT llNon-Monetary Asset MKT as well.

Total Wealth = Total Assets in the EconomyTW M + NM M + NMTW = Ms + NMs = Md + NMd

Hence,Md = Ms => NMd = NMs


Interest Rates and Prices of NM Assets

Prices of Non-Monetary Assets and their Yields (i.e. the interest rate they pay) are negatively related.

Consider 2 zero coupon bonds that pay $100 in 1 year, issued by 2 different companies:

1. SuperSafe Inc (a very solid company that’s going to repay for sure);2. SuperJunk Corp (an extremely shaky enterprise that’s probably going to default).

SuperJunk needs to pay a higher interest rate than SuperSafe on the bond in order to compensate investors for the risk of default. So ij > is

How much are you willing to pay for the two bonds today? Pj = 100/(1+ij) and Ps= 100/(1+is).


It follows that since So ij > is., then Pj = 100/(1+ij) < Ps = 100/(1+is).

Money Market Equilibrium – Increasing Y

Money Market

r’Ms/P

0r

M /P = L (Y r+πe)

M’d/P = Ld(Y’, r+πe)

Md/P = Ld(Y, r+πe)

M/P


Suppose Y increases from Y to Y’ (Holding Money Supply fixed!)

Positive Relationship Between Y and r (in Money Market)

LM curve

r’

r

Y Y’ Y


The LM (Liquidity-Money) Curve

LM Curve: (drawn in (Y, r) space) - represents the relationship of Y and r through the money market (specifically - Y’s affect onY and r through the money market (specifically Y s affect on money demand).

For any level of output Y the LM curve shows the value of r y pfor which the assets MKT is in Equilibrium.

The LM Curve relates real interest rates to real changes in output in the money market.

As Y increases - Md shifts upwards - causing real interest rates to rise (increase in transactions demand increases the demand for money).


Interest Rates and Output

This is the second curve expressing a relationship between real interest rates and outputinterest rates and output.

1) The IS curve. Topic 4.

2) The LM curve. The transaction motive for holding money (the monetary feedback mechanism). As Y increases, demand for money increases and r increases.money increases and r increases.Y increasing causes r to increase (positive relationship - the LM curve)


The LM (Liquidity-Money) Curve

What shifts the LM curve?

Money (M): Increasing Money Supply increases M/P causing the LM curve to the right.

Prices (P): Increasing Prices causes real Money Balances to fall shifting LM curve to the left.

π e: Increasing expected inflation causes returns on bonds (assets other than money) to increase making it less attractive to hold cash. Causes LM curve to shift right!

In general anything that increases demand for real balances will produce an increase in the price of real balances (r) and a shift of the LM curve up to the left


the LM curve up to the left.

Example 1: Shift in LM curve - An increase in M

Money Market

/ ’ /Ms/P M’s/P

0r1r’

M /P = L (Y r+πe)

r

Md/P = Ld(Y, r+πe)

M/PAft th i i M t 0 d d f t t i ll th l P l


After the increase in M, at 0 demand for monetary assets is smaller than money supply. People want to hold too many NM assets and too few M assets. So prices of NM will go up and interest rates will go down.

Example 1: LM Curve movement after increase in M

LM curve

M’/P = Ld(Y r+πe)

M/P = Ld(Y, r+πe)

rM /P Ld(Y, r+π )

r’

YFor every Y the corresponding r that clears the assets MKT is going to be lower


For every Y the corresponding r that clears the assets MKT is going to be lower.

Example 1: together - shifting the LM curve

Thought experiment: Suppose M increases. What level of Y is needed to hold r constant.

Or, put another way, what would happen to r if Y was held constant?

Ms/P Ms1/P LM(M0)

r0 r0x x

s/ s / ( 0)LM(M1)

M (Y )/P

zr1 r1 z

Money Market LM curve

Md(Y0)/P

Y0


An increase in the nominal money supply will cause the LM curve to shift to the right.

Example 2: Shifts in LM curve - An increase in πe

Money Market

Ms/P

0r 1

r’

Md /P = Ld(Y, r+πe)

r2

M/P

Md /P = Ld(Y, r+π’e)

W h d i d d At 1 d d f t t i ll th


We have a drop in money demand. At 1 demand for monetary assets is smaller than money supply. People want to hold too many NM assets and too few M assets. So prices of NM will go up and interest rates will go down.

Example 2: LM Curve movement after increase in πe

LM curve

M\P = Ld(Y r+π’e)

M\P = Ld(Y, r+πe)

rM\P Ld(Y, r+π )

r’

YFor every Y the corresponding r that clears the assets MKT is going to be lower


For every Y the corresponding r that clears the assets MKT is going to be lower.

Example 3: Shifts in LM curve - An increase in P

Money Market

r’1

Ms/PMs/P’

0rr’ Notice that it is a movement along the real balances now.

Ld(Y, r+πe)d( )

M/PW h d i l At 0 d d f t t i l th l


We have a drop in money supply. At 0 demand for monetary assets is larger than money supply. People want to hold too few NM assets and too many M assets. So prices of NM will go down and interest rates will go up.

Example 3: LM Curve movement after increase in P

LM curveM\P’ = Ld(Y, r+πe)

r’M\P = Ld(Y, r+πe)

r

YFor every Y the corresponding r that clears the assets MKT is going to be higher


For every Y the corresponding r that clears the assets MKT is going to be higher.

Example 3: LM Curve movement after increase in P

This exercise looks at changes in P. But for given r and Ms, the M M k t t ll d t i th ilib i PMoney Market actually determines the equilibrium P.

P = Ms/Ld(Y, r + πe)

Note: This also gives a relationship between inflation rate, growth of nominal money supply, and growth of demand of real money balancesmoney balances.

π = ΔP/P = ΔM /M ΔL (Y r + πe)/ L (Y r + πe)ΔMs/Ms - ΔLd(Y, r + πe)/ Ld(Y, r + πe)


Some Monetary Facts: The Quantity Equation

M*V = P*Y

M = money supply, P = the GDP deflator, Y = real GDP.

V = velocity = PY/M We define V in this way V = velocity = PY/M. We define V in this way.

If V is constant and Y is beyond the Central Bank’s LR control then

When the Central Bank doubles M, the result is a doubling of P.

“Inflation is always and everywhere a monetary phenomenon” Inflation is always and everywhere a monetary phenomenon .

This Friedman’s quote is not literally correct because of Y and V t B t LR l ti f 95 it’ l h


movements. But a LR correlation of .95 means it’s close enough.

Money Growth and Inflation


Notes on the Quantity Equation

V is defined so that the Quantity Equation holds (so it’s really an identity). Therefore one cannot argue with P = MV / Y .

Inflation (rising P) is caused by too much money chasing too few goods, i.e. by M rising relative to Y (controlling for how much M we need to transact PY, which is V). [Ref. “Some monetary facts”]

Note inflation could rise despite fixed M because of falling Y or rising V (fewer goods relative to the M we need so that P rises). Across countries, however, most differences in inflation (= P growth) are associated with differences in M growth: the correlation betweeninflation (= P growth) are associated with differences in M growth: the correlation between M growth and inflation is above .95 (and the coefficient is about 1) in the LR.

V is not fixed in reality. V rises with financial innovation and with i (the nominal interest rate). Recall that i = r + π. If, like Y, r is beyond the Central Bank’s LR control, then higher inflation translates one-for-one into higher i. Implication: V rises with the rate of inflation. Thus taking into account that V is not fixed only makes the channel from M growth to P growth stronger: when M growth is high it generates inflation , which raises V, which in turn


raises inflation further. This is a big deal in hyperinflations.

Monetizing Government Debt

The Central Bank buys public debt with reserves.

When public debt is growing faster than GDP, there is political pressure on the Central Bank to monetize some of the government debt b/b/c

• fixed nominal debt is easier to pay off the higher is P.• public debt pays interest, reserves do not.

Large budget deficits are the underlying cause of hyperinflations.The debt and deficit limits in Europe’s European Monetary Union are meant to prevent member countries from pushing for higher inflationmeant to prevent member countries from pushing for higher inflation.

Central Bank independence from fiscal authorities (the Government) can insulate it from pressure to monetize the public debt


can insulate it from pressure to monetize the public debt.

CB Independence & Inflation: More Independence, Less π


Hyperinflations are ...

Sometimes defined as 30% or more inflation in a year.

Usually characterized by accelerating inflation. (wage indexation)

Caused by rapid M growthy p g(the Central Bank creating new reserves at a rapid rate).

Exacerbated by rising velocity (efforts to economize on M) Exacerbated by rising velocity (efforts to economize on M).

Highly disruptive to Y. [But in general inflation rates have zero effect on growth, see reading “Some Monetary Facts”]

1985 Bolivia 10,000%, 1989 Argentina 3100%, 1990 Peru 7500%,


1993 Brazil 2100%, 1993 Ukraine 5000%.

Why Do Governments Grow the Money Supply?

Short Term Political Gains - reduce unemployment (or raise output). If the economy is capacity constrained - prices must rise (however, this usually occurs with a lag!)

Accommodating Supply Shocks - The U.S. in the 70s! (as opposed to breaking the inflation cycle).

Financing Government Deficits by Printing Money!!!

We will deal with this more in future lectures!


Conclusions on the Money Market

Introduction to Money.

Introduction to the role of the Banking Sector. Advanced Class on Money and Banking.

Overview of the basics of Monetary Policy. Advanced Class on Monetary Policy and Central Banks.

LM Curve.


mt plictlbkmonetary policy, central banks, and money...

Documents