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Consider a Two-Factor HJM Model Where the Initial Forward Curve TT

question 8

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Consider a two-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 TT ,is given by the following binomial process with two shock terms: f(t+1,T) =f(t,T) +α±0.01±0.01f ( t + 1 , T ) = f ( t , T ) + \alpha \pm 0.01 \pm 0.01 ,where the forward rate movements are equiprobable.Compare this to a one-factor HJM model where f(t+1,T) =f(t,T) +α±0.02f ( t + 1 , T ) = f ( t , T ) + \alpha \pm 0.02 .Which of the following statements is most valid?

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Definitions:

Components

The distinct parts or elements that make up a whole system or object.

Attitudes Influence

The impact that personal beliefs, feelings, and predispositions have on behavior and responses to various people, situations, or ideas.

Reasonably Stable

Describes a condition or situation that is not easily changed or likely to experience significant fluctuations, maintaining a predictable state over time.

Behavioral Tendencies

Predominant patterns or inclinations in behavior and response to certain stimuli or situations, often shaped by a mix of genetic, cultural, and personal factors.

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