CLASS OUTLINE
These are the basis of all financial markets
All finance is a series of footnotes to compounding and discounted present value”.
People prefer consumption now to consumption later.
if they defer consumption – if they SAVE – they require something additional in future THAT IS THE RATE OF INTEREST
REMEMBER THAT 10% MEANS 0.10 – that’s what we use in calculations.
If you invest $1 for one year at a rate of r percent, the “future value” of that $1 is what you get back – the $1 plus interest – after one year.
Same thing for $x:
e.g.
For longer or shorter periods:
e.g. FV($100,2 years,5%) =
FV($100,6 months = 0.5 year,5%) =
This is the INVERSE of future value: If you know you will receive $1.10 one year from now, and the interest rate is 10%, what is that expected amount worth now?
That is “present value”
In general:
So, the present value of $x to be received afterT years discounted r%:
e.g.
Present Value is used to compute the price of all bonds, short-term and long-term.
For short-term markets there is only one payment; for long-term markets there are many payments of both interest and principal.
NOTE: PV and interest rate move inversely:
asi rises, PV declines; as i declines, PV rises.
compare PV of $100 to be received in 2 years, discounted (a) 10% (b) 5%
Basic supply and demand:
NOTE: this is the supply and demand for credit; its price is the interest rate. Once that is known, you can calculate the present value of a bond, etc.
(1) credit demanders (deficit units)
(2) credit suppliers (surplus units
— together these increasethe interest rate
terms: nominal interest rate : the actual rate in a transaction
real interest rate : the interest rate adjusted for inflation
if the borrower pays 5% per annum but expected inflation is 4%, the “real” interest rate is 5% – 4% = 1%
this is the “Fisher Effect”:
or
Here, the real interest rate is the difference between the blue and red lines:
Recent history of U.S. short-term interest rates
After a security is issued in the primary market it can be sold to someone else. (This is most of what you see in the daily trading of stocks and bonds.)
HIGHLY CONTROVERSIAL
NAME: ____________________________ ________POINTS _______ PERCENT
5 problems on FUTURE VALUE and PRESENT VALUE (2 points each) (show work for possible partial credit)