Regulation of the FMs Flashcards
3 main purposes of the Diamon-Dybvig Model (1983)?
1) Provides a rigorous model of bank runs
2) Provides a justification for regulation of banks
3) Explains why banks subject to runs may attract deposits
Explain what causes a bank run. Give an example of a bank run.
If someone is worried about the bank they are with -> incentive to withdraw money from the bank. If others see them doing this may copy; if enough people do this in quick succession this is a run on the bank, and the bank will fold because by nature it will not be 100% liquid
eg. Northern Rock 2007
Explain the set up of the DD model?
3 periods (T=0,1,2)
Productive technology R, R>1
Period 0: Agents identical, so all invest in the productive technology
Period 1: Agents find out if they are type 1 or type 2
Type 1 (liquidators) find out in P1 that they need money (ie. value consumption in P1), therefore receive ‘salvage value’ in P1, Type 2 do not need money tf keep money invested and earn R.(units invested) in period 2!
What is the ‘salvage value’? (DD)
Initial investment amount
What is R? (DD)
Productive technology that yields R>1 in P2 for each unit invested in P0 (ie. investment return)
What is it called when investors find out they are type 1? (DD)
Liquidity shock (ie. unexpected demand for money)
What problem is demonstrated by the DD model?
There is uncertainty for investors that is only resolved in P1
3 assumptions on DD model? (not too important)
1) information on type is private (asymmetric info.)
2) agents endowed with 1 unit of ‘good’ and store it costlessly
3) known fraction of agents, t, will be type 1
What is the competitive equilibrium in the DD model, and the payoffs for each type?
Comp. eq. is where all agents invest their endowment in the productive technology:
- Type 1 liquidate in P1: payoff = 1unit
- Type 2 realise investments in P2: payoff = R units
Explain one way the competitive equilibrium in the DD model may be improved upon, but the problem with this?
It is possible for agents to insure themselves against the risk of being a T1 agent BUT this would require publicly observable types in P1 - tf this equilibrium would not be possible!
(private information means the insurance company could not tell if they are withdrawing bc they actually need the money or not!)
Explain another solution to the problem in the DD model?
Bank deposit contract:
Demand deposit contract that gives each agent withdrawing (ie. liquidators) in P1 a fixed claim of r1/unit deposited in P0
The bank then offers a Pro Rate Share(???) of its P2 assets not withdrawing in P1
What does a demand deposit contract satisfy and what does this mean?
Satisfies a sequential service constraint tf when withdrawing money people join a queue of withdrawers - if they get to the front and there’s no money left in the bank that’s tough!
Why will a bank never have enough money to pay everyone if they all withdraw at the same time?
Because they pay interest rate+deposit sum back - this is more than total amount of money put into the bank
With the demand deposit contract described, what are the equilibria? Explain them.
1) ‘Full information optimal risk sharing’ outcome, where T1 withdraw in P1 and T2 withdraw in P2 (ie. people only withdraw money when they actually need it!)
2) Bank run equilibrium (for R>1): all individuals seek to withdraw at time 1, but only a fraction succeed (SSC)! Tf some depositors lose everything!
Given the existence of the bank run equilibrium, why does anyone deposit money in banks?
The bank run equilibrium is inferior to the equilibrium where all agents hold assets and there is not bank. This is because the probability of a bank run is very low, tf agents prefer this to holding all assets as cash (prob. of being burgled is probably higher!)
How do governments reduce the probability of a bank run equilibrium? What may affect the effectiveness of this action?
Providing government deposit insurance schemes, whereby all agents who deposit in a bank have their money insured up to a certain level by the government. This means that the chances of people panicking and creating a bank run is much lower since their money is insured! (US 1934 first used)
This action is only effective if the government is credible!