Consider a One-Factor HJM Model Where the Initial Forward Curve $T$

question 7

Multiple Choice

Consider a one-factor HJM model where the initial forward curve is given as 6% for one year and 7% between one and two years. The evolution of continuously-compounded one-year forward rates beginning at time $T$ , is given by the following binomial process: $f ( t + 1 , T ) = f ( t , T ) + \alpha \pm 0.02$ , where the up and down movements are equiprobable. What is the price of a one-year put option on a two-year 6.5% coupon bond, with a strike price of $100 ex-coupon?

• A) 1.00
• B) 1.26
• C) 1.54
• D) 1.67

---

Definitions:

Door-In-The-Face Technique

A persuasion strategy whereby a large, unreasonable request is made first with the expectation of being refused, followed by a smaller, more reasonable request.

Foot-In-The-Door Technique

A persuasion strategy involving getting a person to agree to a small request as a precursor to making a larger request.

Foot-In-The-Door Phenomenon

A psychological tactic wherein agreeing to a small request increases the likelihood of agreeing to a larger request later.

Authority Figure

An individual who holds a position of power, influence, or respect, often within a hierarchical structure, and whose directives are expected to be followed.