Option Pricing Overview
How is the correct price
of an option determined? The question is difficult
and becomes even more complicated when option
combinations such as spreads are evaluated. The
question of option valuation is best answered by
considering factors which affect the price of an
option.
The next five
factors are crucial to determining the price of an
option are:
-
Strike price: The
more the option is in the money, the more intrinsic
value it should have, which will result in a higher
price. Options which are in the money are worth at
least their intrinsic value less any other
opportunity costs, such as interest rates. For
calls, the higher the strike price the cheaper the
option, for puts, the lower the strike price the
cheaper the option.
-
Underlying security
price:
The reasoning is the same as for
the strike price.
The underlying future and strike price have a direct
impact on the price of an option.
-
Time to
expiration: The greater the
number of days to expiration the more expensive the
option. A future has a greater chance of going into the money
with an option which has a longer expiration date, therefore, an
option buyer should be willing to pay more for a longer term
option. An option writer will incur more risk with longer term options
and will consequently need to collect more premium
for selling options which have a longer expiration.
-
Volatility: The
volatility of the market is one of the most
important factors affecting the price of an option.
There are many different ways to calculate the
volatility of a market. The volatility of a market
is a measure of how the price changes on a relative
or percentage basis. Mark Markets which are more volatile have a greater chance of reaching a
strike price and going into the money. Options in
markets with a higher volatility should have bigger
premiums than options in less volatile markets. An
option seller will want more premium to sell an
option in a highly volatile market because the risk
is greater. An option buyer should expect to pay
more for an option in a market with a higher
volatility.
-
Interest rates: In the money options can be a proxy for buying or selling the outright.
Certain underlying instruments such as stocks pay
dividends, which reduces their carrying cost. This
will also affect the pricing of the option.
Of the five variables volatility is the most crucial in evaluating the
price of an option. The first three factors-strike
price, underlying security price, and time to
expiration-are easily known when evaluating an
option. The fifth factor-interest rates-can become
significant if rates are volatile and make large
moves, as in the early 1980s. Interest rates do not
generally change so radically and a range can be
predicted with a reasonable degree of accuracy. The
fourth factor-volatility-can be hard to predict
and may change quite rapidly, greatly affecting the
price of an option. Furthermore, volatility is
measured in various ways by different people, making
it more difficult to quantify.