Open main menu
Home
Random
Recent changes
Special pages
Community portal
Preferences
About Wikipedia
Disclaimers
Incubator escapee wiki
Search
User menu
Talk
Dark mode
Contributions
Create account
Log in
Editing
Put–call parity
(section)
Warning:
You are not logged in. Your IP address will be publicly visible if you make any edits. If you
log in
or
create an account
, your edits will be attributed to your username, along with other benefits.
Anti-spam check. Do
not
fill this in!
==Assumptions== Put–call parity is a [[static replication]], and thus requires minimal assumptions, of a [[forward contract]]. In the absence of traded forward contracts, the forward contract can be replaced (indeed, itself replicated) by the ability to buy the underlying asset and finance this by borrowing for fixed term (e.g., borrowing bonds), or conversely to borrow and sell (short) the underlying asset and loan the received money for term, in both cases yielding a [[self-financing portfolio]]. These assumptions do not require any transactions between the initial date and expiry, and are thus significantly weaker than those of the [[Black–Scholes model]], which requires [[dynamic replication (finance)|dynamic replication]] and continual transaction in the underlying. Replication assumes one can enter into derivative transactions, which requires leverage (and capital costs to back this), and buying and selling entails [[transaction cost]]s, notably the [[bid–ask spread]]. The relationship thus only holds exactly in an ideal [[frictionless market]] with unlimited liquidity. However, real world markets may be sufficiently liquid that the relationship is close to exact, most significantly FX markets in major currencies or major stock indices, in the absence of market turbulence.
Edit summary
(Briefly describe your changes)
By publishing changes, you agree to the
Terms of Use
, and you irrevocably agree to release your contribution under the
CC BY-SA 4.0 License
and the
GFDL
. You agree that a hyperlink or URL is sufficient attribution under the Creative Commons license.
Cancel
Editing help
(opens in new window)