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 $100 notional one-year cap on the one-year forward rate at a strike rate of 7%.

• A)0.87
• B)0.95
• C)1.05
• D)1.10

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Definitions:

Habitat Isolation

A form of reproductive isolation where different species live in different habitats and do not meet, thus preventing mating.

Mechanical Isolation

A form of reproductive isolation where physical differences in the reproductive organs of different species prevent interbreeding.

Hybrid Sterility

A condition in hybrid animals or plants where they are unable to produce offspring due to genetic and chromosomal differences between the parents.

Hybrid Inviability

Hybrid inviability is a postzygotic barrier where hybrid offspring fail to survive to maturity, reducing the chances of genes being exchanged between different species.