2/19/2013

Banking note 2/19

The basic accounting identity:
Things of value = Claims on those things (this is a stock measure)

Balance Sheets:
All resources are owned by someone. Things of value are called assets and claims on those things are called liability.

assets = liability
Subcategories of liability:
1. claims held by outsiders (liability) outsiders' claims are paid first (fixed claim)
(a) long term: paid after long term (junior claims)
(b) short term: paid before long terms. (senior claims) For example, you can withdraw money from checking account whenever u want.
2. claims held by insiders (owners of equity) (residual claim)

Assets
(1) long term assets
(2) short term

Balance sheet of a typical commercial bank
Assets                                            Liabilities
reserves 4%                                   deposits 18% (checking account)
loans 68%                                    time deposits 48% (saving account)
securities 23%                              other liabilities 26%
other assets 5%                             equity 8%

Reserves are what a bank uses to execute payments on its customers' behalf (move money from one account to another)

Reserve ratio= reserves/deposits =4%/18%=22%
Capital ratio= equity/total assets = 8%/100%=8%
What's the point of the bank? To make equity bigger
(1) increase liability
(2) issue stocks

How balance sheet changes
 Scenario 1: A person deposits 10 $
Liability: deposit + 10 $
Assets: reserve + 10 $

Scenario 2: A person withdraw 15$ of cash from the ATM machine
Liability:  deposits - 15$
Assets: reserves - 15$

Scenario 3: A person writes a check of $15 to another one
Liability: deposits - 15$
Assets: reserves - 15$

Scenario 4: The bank makes a new loan of 30$ to its depositor at the same bank
Assets: loan + 30$
Liability: deposits + 30$
Suppose the bank invests the money in a banana factory:
Assets: reserves - 30$
Liability: deposits - 30$
Suppose it turns out that the bank's investment is worth only 5$
Assets: loan - 25$
Liability:  equity - 25%
When the loans go bad, equity holders are worse off
Suppose a customer wants to pay the 75$ for the 30$ loan
Assets: reserves + 75$, loan - 30$
Liability:equity + 45%
Suppose the bank buys 40$ of the subprime mortgage
Assets: reserves - 40$, securities + 40$

Scenario 5: Suppose bank doesn't have money around, they can turn to federal funds market.
Liability: federal funds loan
Assets: reserves

Scenario 6: bank issues new equity by 55$
Assets: reserves + 55$
Liability: equity + 55$
If the value of the equity falls by 20$
Assets: reserves - 20$
Liability: equity - 20$

Three ways to structure the balance sheets:
least leveraged, moderately leveraged, highly leveraged
(1) 100% capitalized firm
Assets                                  Liability
Investment 100$                Liability 0
                                            Equity $100
Appreciation 5%, Investment now becomes 105$, and equity becomes 105$.
A 5% increase of value in securities translates into a 5% return of investment
A 5% decrease of value results in 5% loss of investment
It is unlikely bank will run bankrupt

(2) 50 % capitalized firm
Assets                                  Liability
Investment 100                   Liability 50
                                            Equity 50
Capital ratio = 50%
Leverage= 1:1 , leverage: of all the stuff you owe people what shares are owed to outsiders as compared to insiders.  
Appreciation 5%. Investment 105$, equity 55$
equity increases by 10%
5% loss in market results in 10% loss in firm
A loss of 50% in the value of investment results in firm's bankruptcy

(3) Highly leveraged firm
Assets                                       Liability
investment 100                       liability 97
                                                equity 3
capital ratio= 3%
leverage 97:3

Plain-vanilla housing finance:
Assets                                      Liability
cash reserve 100                          deposit   1000
mortgage 1900                             long term loans   600
                                                     equity             400
capital ratio: 20%
leverage: 4:1
This bank is healthy

When shit happens on asset side or liability side:
Problem on the asset side: solvency shocks
Problem on the liability side: liquidity shocks
Solvency shocks: banks are making bad investments
Liquidity shocks: withdraw rates are high
It is easy that a solvency shock turns into a liquidity shock:
When banks make bad investments, customers may freak out and withdraw the money, causing a liquidity shock.
A healthy system may also be toppled down because of animal spirit.
Suffering from liquidity shock, banks may have to sell healthy assets, driving down the value of the assets. (supply increases and price decreases)

Piggy bank (solvency shock)                                         Piggy bank (liquidity shock)
Assets                      Liability                                         Assets                               Liability
Reserve 1000               Deposit 10000                        Reserve 10000                deposit 10000
Short term asset 2000   Long term loans 5000         Short term 2000                 Long term loans 5000
Long term asset 7000    equity   3000                      Long term 7000                  equity    3000
Bus asset   8000                                                      Bus asset 8000
18000                            18000                                         18000                           18000

Suppose long term asset goes bad, at a loss of 4000$. Equity loses 4000$, at value -1000$, more obligation to pay

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