One estimate is that two-thirds of Americans are credit-constrained.
An inheritance of $10,000 doubles the average British youth's
likelihood of starting their own business. (Additionally, a 10%
increase in UK house prices led to a 5% increase in startups.) And, of
course, the credit-constrained are typically the poor and young and
disadvantaged.
How can we model this? Imagine you're buying a machine that can be run
at various speeds. The faster you run it, the more it produces but the
more likely it is to break. (Why this machine is almost like a bet...)
If you're spending your own money on the machine, you'll try to
maximize the average amount it produces, so you'll run it at
half-speed. If you're borrowing money to buy the machine, the borrower
will charge you more in interest based on how fast you run the
machine, so again you'll run it at half-speed.
Now imagine that the lender can't tell you how fast to run the
machine. You run it at 3/4 speed, since you get the additional money
if it doesn't break and the lender eats the loss if it does. In this
case you're actually skimming money off the lender. Perhaps this could
be used as the basis for contingent renewal -- continuing to extend
loans as long as the machine doesn't break. This improves things, but
not completely: you now run the machine at 2/3.
Why would you invest your own money instead of taking out a loan? You
could be trying to prove to the lender that you really believe it's a
good investment, or you could be trying to lower this discrepancy
between lender and borrower (you won't run the machine as fast when
it's your own money on the line). As the wealth you risk increases,
the speed you run the machine at moves from 3/4 to 1/2.
In a perfectly competitive market, lenders will receive the risk free
interest rate from any investments they make. (That's kind of what it
means to be perfectly competitive.) Since the amount of wealth someone
can invest in their machine determines how fast they run it and thus
how much it makes, you need a minimum level of wealth for people to
lend to you. (If you don't have that much wealth invested, you'll run
the machine too fast and so no one will want to lend to you.)
In a noncompetitive market, lenders and borrowers can bargain anywhere
between the lender getting the risk-free rate of interest and all of
the profits. (This is the situation with "an urban pawn shop or
'payday lender'".) But in a perfectly competitive market, lenders will
offer the interest rate that makes them the risk-free rate of
interest, which means the wealthier you are, the lower your interest
rate is. Wealthier borrowers can also borrow more (because lenders
will require you put up more) and for lower-quality projects (ditto).
This can't be efficient -- rich people will get low-quality projects
funded, while poor people can't even get their high-quality projects
funded. Thus redistributing money from rich to poor is socially
optimal: it improves the overall quality of funded projects. But
here's the _really_ crazy thing: it can also be Pareto improving.
Normally, you'd think redistribution can't make everyone better off --
you have to take the money _from_ someone. But get a load of this
case:
Let's say you have a lot of money. You loan it out and you get the
risk-free rate of interest for it. Now imagine Big Government comes
and takes a chunk of it and gives it to a poor person to buy a
machine. It's now the poor person's own money at stake, so they
operate the machine at its optimum: half-speed. This makes them a
bunch of money, so they're happy. Then the government requires them to
pay the risk-free rate of interest back to you, so you're no worse-off
than before. Incredible: everybody wins! (Why don't you just lend the
poor person the machine for the same amount? Because the loan is
unenforceable; the magic comes from the government forcing the poor
person to pay you the risk-free rate of interest whether the machine
fails or not.)
The problem is that poor people don't like having to pay a bunch of
money to get a risky machine -- it's much less fun to risk your money
when you're poor than when you're rich. As a result, some poor people
may prefer to be employees (getting a guaranteed income) than own
their own machines (getting a higher average income, but with a
greater variance). [Then there's a bit I don't quite understand --
Chris? -- but it seems to argue that in most cases things will be such
that redistribution will be socially-improving, but not
Pareto-improving.]
In conclusion, estate taxes and wealth redistribution are a good thing
-- there is no efficiency-equity tradeoff. Taking a little bit of
money from the rich and giving it to the poor makes it so that the
poor can do new things, while not preventing the rich from doing
anything. The real trouble is that by moving from an economy where
some people are employees to one where everyone's an owner, you reduce
the overall level of risk-taking (since big companies will take more
risks than individual owner-operators).
It's worth thinking about policy responses to deal with these
problems. Options include microfinance, performance pay, and
insurance. [AS: Is there also room for state lending and submarket
rates of interest?] Our pareto-improving example showed that
government intervention can make everyone better off.