- CFA Exams
- CFA Exam: Level II 2021
- Study Session 14. Derivatives
- Reading 38. Valuation of Contingent Claims
- Subject 6. Option Greeks and Implied Volatility

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**CFA Practice Question**

A stock is selling for $69.88. The risk-free rate is 5%.

Put option A: Exercise price X = $70, Days to option expiration = 15.

Put option B: Exercise price X = $70, Days to option expiration = 120.

Call option C: Exercise price X = $70, Days to option expiration = 15.

Call option D: Exercise price X = $70, Days to option expiration = 120.

II. RHO

III. RHO

IV. RHO

Consider the following options on this stock:

Put option A: Exercise price X = $70, Days to option expiration = 15.

Put option B: Exercise price X = $70, Days to option expiration = 120.

Call option C: Exercise price X = $70, Days to option expiration = 15.

Call option D: Exercise price X = $70, Days to option expiration = 120.

Which statement(s) is (are) true?

I. RHO

_{A}> RHO_{B}II. RHO

_{A}< RHO_{B}III. RHO

_{C}> RHO_{D}IV. RHO

_{C}< RHO_{D}Correct Answer: I and IV

For a call option, rho (RHOc) is always positive. For a put option, rho (RHOp ) is always negative. RHOc and RHOp change as time passes, with both tending toward zero as expiration approaches.

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**User Contributed Comments**
3

User |
Comment |
---|---|

ragingrazz |
If RHOp is always negative and tends toward zero approaching T=0, the Rho of a put with fewer days to expiry would be greater than the put with more days left. Thus, RHOA> RHOB. |

yly14 |
somehow i believe that RHOp and RHOc are absolute values, explaining to the first comment, am i right? |

bmeisner |
Well a put's value decreases when interest rates go up because the probability of that put being in the money goes down (the expected stock return is higher with higher interest rates). Thats why rho of put is negative and also why rho of call is positive. With more time to maturity, just like a bond, there is more absolute sensitivity to interest rates, all else being equal. |