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Implied volatility for futures options from Black model

`Volatility = blkipmv(Price,Strike,Rate,Time,Value)`

`Volatility = blkimpv(___,Limit,Tolerance,Class)`

computes
the implied volatility of a futures price from the market value of
European futures options using Black's model.`Volatility`

= blkipmv(`Price`

,`Strike`

,`Rate`

,`Time`

,`Value`

)

Any input argument can be a scalar, vector, or matrix. When a value is a scalar, that value is used to compute the implied volatility of all the options. If more than one input is a vector or matrix, the dimensions of all nonscalar inputs must be identical.

Ensure that `Rate`

and `Time`

are
expressed in consistent units of time.

adds
optional arguments for `Volatility`

= blkimpv(___,`Limit`

,`Tolerance`

,`Class`

)`Limit`

, `Tolerance`

,
and `Class`

.

[1] Hull, John C. *Options, Futures, and Other Derivatives.* *5th
edition*, Prentice Hall, , 2003, pp. 287–288.

[2] Black, Fischer. “The Pricing of Commodity Contracts.” *Journal
of Financial Economics.* March 3, 1976, pp. 167–79.

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