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blsrho - Black-Scholes sensitivity to interest rate change

Syntax

[CallRho, PutRho]= blsrho(Price, Strike, Rate, Time, Volatility, 
Yield)

Arguments

Price

Current price of the underlying asset.

Strike

Exercise price of the option.

Rate

Annualized, continuously compounded risk-free rate of return over the life of the option, expressed as a positive decimal number.

Time

Time to expiration of the option, expressed in years.

Volatility

Annualized asset price volatility (annualized standard deviation of the continuously compounded asset return), expressed as a positive decimal number.

Yield

(Optional) Annualized, continuously compounded yield of the underlying asset over the life of the option, expressed as a decimal number. (Default = 0.) For example, for options written on stock indices, Yield could represent the dividend yield. For currency options, Yield could be the foreign risk-free interest rate.

Description

[CallRho, PutRho]= blsrho(Price, Strike, Rate, Time, Volatility, Yield) returns the call option rho CallRho, and the put option rho PutRho. Rho is the rate of change in value of derivative securities with respect to interest rates.

Examples

[CallRho, PutRho] = blsrho(50, 50, 0.12, 0.25, 0.3, 0)

CallRho =
    6.6686

PutRho =
   -5.4619

References

Hull, John C., Options, Futures, and Other Derivatives, Prentice Hall, 5th edition, 2003.

See Also

blsdelta, blsgamma, blslambda, blsprice, blstheta, blsvega

  


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