Quantifies the sensitivity of the option price to changes in interest rates is known as:

Effective duration is a measure used to quantify the price sensitivity of a financial instrument to changes in interest rates. It is particularly crucial for instruments where cash flows are not fixed and can change as interest rates move, such as bonds with embedded options or standalone options. Unlike modified duration, which assumes fixed cash flows, effective duration accounts for the impact of interest rate changes on the likelihood of an option being exercised, thereby providing a more accurate measure of interest rate risk for these complex securities. The specific Greek letter for this sensitivity in options pricing is Rho (ρ), and effective duration is the broader financial measure that quantifies it.

A. complexity measure: This is a general term not specific to finance; it could refer to algorithmic complexity or model complexity, not interest rate sensitivity.

B. quantifiable measure: While the sensitivity is indeed quantifiable, this is a descriptive phrase, not the specific technical term used in financial engineering.

D. change measure: This term is too vague and is not a standard metric in finance for quantifying the specific relationship between option prices and interest rates.

1. Fabozzi

F. J. (2007). The Handbook of Fixed Income Securities (7th ed.). McGraw-Hill. In Chapter 13

"Effective Duration and Convexity

" it is stated that "For bonds with embedded options

the appropriate measure of interest-rate sensitivity is effective duration... because it takes into account how changes in interest rates may alter the expected cash flows." This principle directly applies to options.

2. Tuckman

B.

& Serrat

A. (2011). Fixed Income Securities: Tools for Today's Markets (3rd ed.). Wiley. Chapter 5

"Duration

Convexity

and Other Bond Risk Measures

" explains that effective duration is required when a security's cash flows are dependent on the level of interest rates

which is the defining characteristic of options.

3. Choudhry

M. (2004). The Bond and Money Markets: Strategy

Trading

Analysis. Butterworth-Heinemann. In Chapter 10

"Bond market hedging and immunization

" the text clarifies that effective duration is the measure of price sensitivity to interest rates for any instrument whose price is a non-linear function of yield

including options. (See Section 10.4.2).