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Encyclopedia > Moneyness
"In the money" redirects here; for the poker term, see In the money (poker).

In finance, moneyness is a measure of the degree to which a derivative is likely to have positive monetary value at its expiration, in the risk-neutral measure. It can be measured in percentage probability, or in standard deviations. Image File history File links This is a lossless scalable vector image. ... In the money, or ITM, is a term given in poker, which describes a players placement in a tournament. ... The field of finance refers to the concepts of time, money and risk and how they are interelated. ... Derivatives traders at the Chicago Board of Trade. ...

Contents

Intrinsic value and time value

The intrinsic value (or "monetary value") of an option is the value of exercising it now. Thus if the current (spot) price of the underlying security is above the agreed (strike) price, a call has positive intrinsic value (and is called "in the money"), while a put has zero intrinsic value. The spot price of a commodity or a security or a currency is the price that is quoted for settlement (payment and delivery) of the transaction immediately. ... This article is about financial options. ... A put option (sometimes simply called a put) is a financial contract between two parties, the buyer and the writer of the option. ...


The time value of an option is a function of the value less the intrinsic value. It equates to uncertainty in the form of investor hope. It is also viewed as the value of not exercising the option immediately. In the case of a European option, you cannot choose to exercise it at any time, so the time value can be negative; for an American option if the time value is ever negative, you exercise it: this yields a boundary condition. Option Value In finance, the value of an option consists of two components, its intrinsic value and its time value. ...


ATM: At-the-money

An option is at-the-money if the strike price, i.e., the price the option holder must pay to exercise the option, is the same as the current price of the underlying security on which the option is written. An at-the-money option has no intrinsic value, only time value. This article is about options traded in financial markets. ... The strike price, or exercise price, is a key variable in a derivatives contract between two parties. ...


ITM: In-the-money

An in-the-money option has positive intrinsic value as well as time value. A call option is in-the-money when the strike price is below the current trading price. A put option is in-the-money when the strike price is above the current trading price. Another characteristic of In-the-money options is that when the current price is much higher than the strike price, for a call option, this option behaves like the underlying security because the probability of exercise is very high.


OTM: Out-of-the-money

An out-of-the-money option has no intrinsic value. A call option is out-of-the-money when the strike price is above the current trading price of the underlying security. A put option is out-of-the-money when the strike price is below the current trading price of the underlying security.


Spot versus forward

Recall that assets have a spot price and a forward price (the price for delivery in future). One can talk about moneyness with respect to either the spot price, or the forward price (at expiry): thus one talks about ATMS = ATM Spot (also called at-the-money outright) vs. ATMF = ATM Forward, and so forth.


For instance, if the spot price for USD/JPY is 120, and the forward price in one year is 110, then a call struck at 110 is ATMF but ITMS.


Which are used?

Buying (selling) an ITM option is effectively lending (borrowing) money. Further, an ITM call can be replicated by entering a forward and buying an OTM put (and conversely). Thus ATM/OTM options are the main traded ones.


Example

Suppose the current stock price of IBM is $100. A call or put option with a strike of $100 is at-the-money (spot). A call option with a strike of $80 is in-the-money (100 – 80 = 20 > 0). A put option with a strike at $80 is out-of-the-money (80 – 100 = –20 < 0). Conversely, a call option with a $120 strike is out-of-the-money and a put option with a $120 strike is in-the-money. For other uses, see IBM (disambiguation) and Big Blue. ... This article is about financial options. ... A put option (sometimes simply called a put) is a financial contract between two parties, the buyer and the writer of the option. ... This article is about financial options. ... A put option (sometimes simply called a put) is a financial contract between two parties, the buyer and the writer of the option. ...


When one uses the Black-Scholes model to value the option, one may define moneyness quantitatively. If we define the moneyness (of a call) as The Black-Scholes model, often simply called Black-Scholes, is a model of the varying price over time of financial instruments, and in particular stocks. ...

 m = frac{d_1+d_2}{2}

where d1 and d2 are the standard Black-Scholes parameters then

 m = frac{ln(S/K)+rT}{sigmasqrt T},

where T is the time to expiry.


In other words, it is the number of standard deviations the current price is above the ATMF price. In probability and statistics, the standard deviation is the most commonly used measure of statistical dispersion. ...


This choice of parameterisation means that the moneyness is zero when the forward price of the underlying, discounted at the risk-free rate, equals the strike price. Such an option is often referred to as at-the-money-forward. Moneyness is measured in standard deviations from this point, with a positive value meaning an in-the-money call option and a negative value meaning an out-of-the-money call option (with signs reversed for a put option). The strike price, or exercise price, is a key variable in a derivatives contract between two parties. ...


One can also measure it as a percent, via Φ(m), where Φ is the standard normal cumulative distribution function; thus a moneyness of 0 yields a 50% probability of expiring ITM, while a moneyness of 1 yields an approximately 84% probability of expiring ITM. The normal distribution, also called Gaussian distribution, is an extremely important probability distribution in many fields, especially in physics and engineering. ... In probability theory, the cumulative distribution function (abbreviated cdf) completely describes the probability distribution of a real-valued random variable, X. For every real number x, the cdf is given by where the right-hand side represents the probability that the random variable X takes on a value less than...


Beware that (percentage) moneyness is close to but different from Delta: Delta = Phi(m+sigmasqrt{T}/2) instead of Φ(m), for a call (conversely for a put).


Thus a 25 Delta call option has approximately (but not exactly) 25% moneyness.


Note that r is the risk-free rate, not the expected return on the underlying. The risk-free interest rate is the interest rate that it is assumed can be obtained by investing in financial instruments with no risk. ...


References

  • McMillan, Lawrence G. (2002). Options as a Strategic Investment, 4th ed., New York : New York Institute of Finance. ISBN 0-7352-0197-8. 
  • Read More About Options Moneyness At, OptionTradingpedia.com

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