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2000-06-30
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AAII Program #1
Stock Options (STKOPT)
(c) Copyright 1982 by the
American Association of
Individual Investors
This program calculates the theoretical value of call options
based on a variation of the theory developed by Black and
Scholes. The "Delta" is the fraction of the stock move that an
option will move for any SMALL MOVE in the stock. The "Ratio" is
the number of options that combined will have the same profit or
loss as the stock for a small move. The theory of put valuation
has not been completely developed. In this program, two separate
estimates are given. The one labeled "conversion" is generally
accepted and is based on the terminal relationship to the call
value. The other estimate is equal to a call with equivalent
conditions. This valuation is appropriate to those using puts as
a substitute for shorting the stock AND assuming that the
proceeds of a short sale would NOT be immediately given to the
short seller (the normal condition and contrary to the assumption
of the conversion approach.)
The inputs for the program are straightforward. The T-bill rate
is usually used for the risk-free annual interest rate.
Volatility is the annual standard deviation rate of returns.
This figure is provided by some services or can be calculated
with AAII Program #3, STATS. It is the ASD (not the Beta).