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Basic Question 2 of 12

An interest rate put option based on a 90-day underlying rate has an exercise rate of 5.5% and expires in 150 days. The forward rate is 5.25% and the volatility is 0.08. The continuously compounded risk-free rate is 4%. Calculate the price of the interest rate put option using the Black model. The notional principal is $10 million.

User Contributed Comments 4

User Comment
danlan2 Do not understand the two adjustments.
Rotigga Note the adjustment for step #2 is 90/360, not 90/365.
ptyson the last part of the notes in this section explains it best.
Nando1 Don't worry about it. We're not asked to calculate the model for the exam.
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I passed! I did not get a chance to tell you before the exam - but your site was excellent. I will definitely take it next year for Level II.
Tamara Schultz

Tamara Schultz

Learning Outcome Statements

describe how the Black model is used to value European options on futures;

describe how the Black model is used to value European interest rate options and European swaptions;

CFA® 2025 Level II Curriculum, Volume 5, Module 32.