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O.,,ter 15: Put Option Basks 247
The time value premium of a put is largest when the stock is at the striking price of
the put. As the option becomes deeply in-the-money or deeply out-of-the-money, the
time value premium will shrink substantially. These statements on the magnitude of
the time value premium are true for both puts and calls. Table 15-1 will help to illus­
trate the relationship of stock price and option price for both puts and calls. The
reader may want to refer to Table 1-1, which described the time value premium rela­
tionship for calls. Table 15-1 describes the prices of an XYZ July 50 call option and
an XYZ July 50 put option.
Table 15-1 demonstrates several basic facts. As the stock drops, the actual price
of a call option decreases while the value of the put option increases. Conversely, as
the stock rises, the call option increases in value and the put option decreases in
value. Both the put and the call have their maximum time value premium when the
stock is exactly at the striking price. However, the call will generally sell for rrwre than
the put when the stock is at the strike. Notice in Table 15-1 that, with XYZ at 50, the
call is worth 5 points while the put is worth only 4 points. This is true in general,
except in the case of a stock that pays a large dividend. This phenomenon has to do
with the cost of carrying stock. More will be said about this effect later. Table 15-1
also describes an effect of put options that normally holds true: An in-the-rrwney put
( stock is below strike) loses time value premium rrwre quickly than an in-the-rrwney
call does. Notice that with XYZ at 43 in Table 15-1, the put is 7 points in-the-money
and has lost all its time value premium. But when the call is 7 points in-the-money,
XYZ at 57, the call still has 2 points of time value premium. Again, this is a phenom­
enon that could be affected by the dividend payout of the underlying stock, but is
true in general.
PRICING PUT OPTIONS
The same factors that determine the price of the call option also determine the price
of the put option: price of the underlying stock, striking price of the option, time
remaining until expiration, volatility of the underlying stock, dividend rate of the
underlying stock, and the current risk-free interest rate (Treasury bill rate, for exam­
ple). Market dynamics - supply, demand, and investor psychology - play a part as
well.
Without going into as much detail as was shown in Chapter 1, the pricing curve
of the put option can be developed. Certain facts remain true for the put option as
they did for the call option. The rate of decay of the put option is not linear; that is,
the time value premium will decay more rapidly in the weeks immediately preced­
ing expiration. The more volatile the underlying stock, the higher will be the price