A consul is a bond that pays a fixed rate
of interest based on the sale price forever. For example, a $1000
consul with a 5% interest rate would pay the owner $50 each year
forever.
Market rate of interest for consuls depends on the supply and demand
for consuls. The contract interest rate for a consul does not adjust.
What adjusts is the price of the consul so that the effective
interest rate: roughly payment/price equals the market rate of
interest.
Suppose the government sells a large number of consuls at 5%
interest. The next year the demand for consuls drops and the
government has to raise the interest rate to 10% to attract buyers.
What happens to the price of the consuls issued at 5% interest. To
see what happens suppose a buyer of a 5% consul tried to sell his
consul in a market where buyers could buy 10% consuls. If a buyer
bought a 10% $1000 consul he would receive $100 a year. The price of
the 5% $1000 consul would have to fall to $500 in order for the buyer
to obtain 10% interest. The buyer would be indifferent between
purchasing two of the old 5% $1000 consuls at $500 each or one of the
new 10% $1000 consuls. In either case he would receive $100 a year
for his $1000 investment. The price of consuls adjusts such the
interest payment equals the market rate of interest.
Buy $2000 consul at 10% interest, market interest drops to 5%. Sell
at ______
Buy $2000 consul at 4% interest, market interest rises to 16%. Sell
at ________
Buy $2000 consul at 12% interest, market interest drops to 9%. Sell
at ______
Buy $2000 consul at 3% interest, market interest rises to 4%. Sell at
________
The purpose in introducing consuls was to eliminate the problem with
the time horizon of current bills, notes and bonds. Currently at the
end of the stated time horizon, for example a 30 year bond, the
government pays back the principal in full. What this means the
longer the time horizon before repayment of principal the more the
bond acts like a consul. For short term debt the price changes only
slightly with varying interest rates. The longer the time horizon the
greater the change. For example, if you buy a 30 year bond at 9% and
the next year interest rates fall to 8% your bond increases in price
by about 15% so that the effective interest rate is 8%.
UP??? means if expand too much, inflation will definitely occur.
Down?? means if contract too much, it will cause a recession and
inflation will abate.
Bank expansion problem: Note: The theory of bank expansion and
contraction is adequately covered in the text. The following problem
is an exam type problem:
1. Given a very large number of standard banks whose initial position
is:
where R is reserves, GS is government securities,
L are loans, D is demand deposits and the required reserve ratio is
20%. (Do not expect 20% on quiz)
1. To expand the money supply should the FED buy or sell
securities?
2. What will happen to interest rates?
3. Assuming the FED's transaction to expand the money supply is $10M
and to maximize profits the banks keep reserves down to the legal
minimum explain numerically what happens if the FED transaction is
with a bank. Consider a plausible course of action at the first two
banks. (The first two terms of the geometric series.)
4. Explain in words the mechanism which causes the expansion.
5. Briefly discuss a contraction.
6. What is the money multiplier resulting from part 3. What is
DM?
(Change in the money supply)
7. Why is this multiplier larger than the empirical monetary
expansion multiplier? Discuss with words or symbols.
On quiz, discussion questions will be multiple
choice.