Call option: Difference between revisions

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Added back volitility of pricing to calls.
 
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[[File:Short call option.svg|thumb|right|200px|Profits from writing a call.]]
[[File:Short call option.svg|thumb|right|200px|Profits from writing a call.]]


In [[finance]], a '''call option''', often simply labeled a "'''call'''", is a [[contract]] between the buyer and the seller of the call [[Option (finance)|option]] to exchange a [[Security (finance)|security]] at a set [[price]].<ref>{{cite book|first1=Arthur|last1=O'Sullivan|author-link1=Arthur O'Sullivan (economist)|first2=Steven M.|last2=Sheffrin|author-link2=Steven M. Sheffrin|title=Economics: Principles in Action|url=https://archive.org/details/economicsprincip00osul|url-access=limited|publisher=[[Pearson Prentice Hall]]|year=2003|location=Upper Saddle River, New Jersey 07458|page=[https://archive.org/details/economicsprincip00osul/page/n304 288]|isbn=0-13-063085-3}}</ref> The buyer of the call option has the right, but not the obligation, to buy an agreed quantity of a particular [[commodity]] or [[financial instrument]] (the [[underlying]]) from the seller of the option at or before a certain time (the [[Expiration (options)|expiration]] date) for a certain price (the [[strike price]]). This effectively gives the buyer a [[Long (finance)|''long'' position]] in the given asset.<ref>{{Cite book|last=Natenberg|first=Sheldon|url=https://www.worldcat.org/oclc/44962925|title=Option volatility and pricing strategies : advanced trading techniques for professionals|date=1994|publisher=McGraw-Hill|isbn=0-585-13166-X|edition=[2nd ed., updated and exp.]|location=New York|oclc=44962925}}</ref> The seller (or "writer") is obliged to sell the commodity or financial instrument to the buyer if the buyer so decides. This effectively gives the seller a [[Short (finance)|''short'' position]] in the given asset. The buyer pays a fee (called a [[Insurance|premium]]) for this right. The term "call" comes from the fact that the owner has the right to "call the stock away" from the seller.
In [[finance]], a '''call option''', often simply labeled a "'''call'''", is a [[contract]] between the buyer and the seller of the call [[Option (finance)|option]] to exchange a [[Security (finance)|security]] at a set [[price]].<ref>{{cite book|first1=Arthur|last1=O'Sullivan|author-link1=Arthur O'Sullivan (economist)|first2=Steven M.|last2=Sheffrin|author-link2=Steven M. Sheffrin|title=Economics: Principles in Action|url=https://archive.org/details/economicsprincip00osul|url-access=limited|publisher=[[Pearson Prentice Hall]]|year=2003|location=Upper Saddle River, New Jersey 07458|page=[https://archive.org/details/economicsprincip00osul/page/n304 288]|isbn=0-13-063085-3}}</ref> The buyer of the call option has the right, but not the obligation, to buy an agreed quantity of a particular [[commodity]] or [[financial instrument]] (the [[underlying]]) from the seller of the option at or before a certain time (the [[Expiration (options)|expiration]] date) for a certain price (the [[strike price]]). This effectively gives the buyer a [[Long (finance)|''long'' position]] in the given asset.<ref>{{Cite book|last=Natenberg|first=Sheldon|title=Option volatility and pricing strategies : advanced trading techniques for professionals|date=1994|publisher=McGraw-Hill|isbn=0-585-13166-X|edition=[2nd ed., updated and exp.]|location=New York|oclc=44962925}}</ref> The seller (or "writer") is obliged to sell the commodity or financial instrument to the buyer if the buyer so decides. This effectively gives the seller a [[Short (finance)|''short'' position]] in the given asset. The buyer pays a fee (called a [[Insurance|premium]]) for this right. The term "call" comes from the fact that the owner has the right to "call the stock away" from the seller.


==Price of options==
==Price of options==
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* the [[expected value|expected intrinsic value]] of the option, defined as the expected value of the difference between the strike price and the market value, i.e., max[S−X, 0].<ref name=":0">{{Cite book |last=Hull |first=John |title=Options, Futures, and Other Derivatives 10th Edition |publisher=Pearson |year=2017 |isbn=978-0134472089 |pages=231–246}}</ref>
* the [[expected value|expected intrinsic value]] of the option, defined as the expected value of the difference between the strike price and the market value, i.e., max[S−X, 0].<ref name=":0">{{Cite book |last=Hull |first=John |title=Options, Futures, and Other Derivatives 10th Edition |publisher=Pearson |year=2017 |isbn=978-0134472089 |pages=231–246}}</ref>
* the [[risk premium]] to compensate for the unpredictability of the value
* the [[risk premium]] to compensate for the unpredictability of the value
* Changes in the '''volatility''' of the base asset (the higher the volatility, the more expensive the call option is)
* the [[time value of money]] reflecting the delay to the payout time
* the [[time value of money]] reflecting the delay to the payout time
The call contract price generally will be higher when the contract has more time to expire (except in cases when a significant [[dividend]] is present) and when the underlying financial instrument shows more [[Volatility (finance)|volatility]] or other unpredictability. Determining this value is one of the central functions of [[financial mathematics]]. The most common method used is the [[Black–Scholes model]], which provides an estimate of the price of European-style options.<ref>{{cite book |title=Finance for Executives: A Practical Guide for Managers |first=Nuno |last=Fernandes |year=2014 |page=313 |publisher=NPV Publishing |isbn=978-9899885400}}</ref>
The call contract price generally will be higher when the contract has more time to expire (except in cases when a significant [[dividend]] is present) and when the underlying financial instrument shows more [[Volatility (finance)|volatility]] or other unpredictability. Determining this value is one of the central functions of [[financial mathematics]]. The most common method used is the [[Black–Scholes model]], which provides an estimate of the price of European-style options.<ref>{{cite book |title=Finance for Executives: A Practical Guide for Managers |first=Nuno |last=Fernandes |year=2014 |page=313 |publisher=NPV Publishing |isbn=978-9899885400}}</ref>

Latest revision as of 02:19, 5 November 2025

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File:Long call option.svg
Profits from buying a call.
File:Short call option.svg
Profits from writing a call.

In finance, a call option, often simply labeled a "call", is a contract between the buyer and the seller of the call option to exchange a security at a set price.[1] The buyer of the call option has the right, but not the obligation, to buy an agreed quantity of a particular commodity or financial instrument (the underlying) from the seller of the option at or before a certain time (the expiration date) for a certain price (the strike price). This effectively gives the buyer a long position in the given asset.[2] The seller (or "writer") is obliged to sell the commodity or financial instrument to the buyer if the buyer so decides. This effectively gives the seller a short position in the given asset. The buyer pays a fee (called a premium) for this right. The term "call" comes from the fact that the owner has the right to "call the stock away" from the seller.

Price of options

Option values vary with the value of the underlying instrument over time. The price of the call contract must act as a proxy response for the valuation of:

  • the expected intrinsic value of the option, defined as the expected value of the difference between the strike price and the market value, i.e., max[S−X, 0].[3]
  • the risk premium to compensate for the unpredictability of the value
  • Changes in the volatility of the base asset (the higher the volatility, the more expensive the call option is)
  • the time value of money reflecting the delay to the payout time

The call contract price generally will be higher when the contract has more time to expire (except in cases when a significant dividend is present) and when the underlying financial instrument shows more volatility or other unpredictability. Determining this value is one of the central functions of financial mathematics. The most common method used is the Black–Scholes model, which provides an estimate of the price of European-style options.[4]

See also

References

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