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Chapter 1: Definitions 11
When a call has time remaining to its expiration date, its total price consists of
its intrinsic value plus its time value premium. The resultant call option price curve
takes the form of an inverted arch that stretches along the stock price axis. If one
plots the data from Table 1-4 on the grid supplied in Figure 1-2, the curve assumes
two characteristics:
1. The time value premium ( the shaded area) is greatest when the stock price and
the striking price are the same.
2. When the stock price is far above or far below the striking price (near the ends
of the curve), the option sells for nearly its intrinsic value. As a result, the curve
nearly touches the intrinsic value line at either end. [Figure 1-2 thus shows both
the intrinsic value and the option price curve.]
This curve, however, shows only how one might expect the XYZ July 50 call
prices to behave with 6 months remaining until expiration. As the time to expiration
grows shorter, the arched line drops lower and lower, until, on the final day in the life
of the option, it merges completely with the intrinsic value line. In other words, the
call is worth only its intrinsic value at expiration. Examine Figure 1-3, which depicts
three separate XYZ calls. At any given stock price (a fixed point on the stock price
scale), the longest-term call sells for the highest price and the nearest-term call sells
for the lowest price. At the striking price, the actual differences in the three option
prices are the greatest. Near either end of the scale, the three curves are much clos­
er together, indicating that the actual price differences from one option to another
are small. For a given stock price, therefore, option prices decrease as the expiration
date approaches.
TABLE 1-4.
The prices of a hypothetical July 50 call with 6 months of time
remaining, plotted in Figure 1-2.
XYZ Stock Price
(Horizontal Axis)
40
45
48
➔SO
52
55
60
XYZ July 50
Call Price
(Vertical Axis)
2
3
4
5
61/2
11
Intrinsic
Value
0
0
0
0
2
5
10
Time Value
Premium
(Shading)
2
3
4
3
11/2
1