Book 4_Derav_READING 75_PRICING-AND-VALUATION-OF-OPTIONS Flashcards
If immediate exercise of an option would generate a positive payoff
the option is in the money
If immediate exercise would result in a negative payoff
the option is out of the money
An option’s exercise value
the greater of zero or the amount it is in the money
Time value is
- the amount by which an option’s price is greater than its exercise value (S - X)
- zero at expiration.
The approach for pricing contingent claims is
different from the model for forward commitments because contingent claims have one-sided payoffs and values at initiation that are not equal to zero.
A replication model for European options
is based on the value of a portfolio in which the option is combined with a pure discount bond and a long or short position in the underlying
European call
- Minimum value: Ct >= max (0, St - X(1-Rt)^(-T-t))
- Max: St
European Put
- Minimum value: Ct >= max (0, X(1-Rt)^(-T-t) - St)
- Max: X(1-Rt)^(-T-t)
Factors affect the value of an option
- Price of underlying asset
- Exercise price
- Risk-free rate
- Volatility of underlying asset
- Time to expiration
- Cost and benefit of holding asset