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

question 18

Multiple Choice

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 $T$ ,is given by the following binomial process with two shock terms: $f ( t + 1 , T ) = f ( t , T ) + \alpha \pm 0.01 \pm 0.01$ ,where the forward rate movements are equiprobable.What this means is that the forward rate may move up by either 0.02 with probability 1/4,or move down by 0.02 with probability 1/4,or remain the same with probability 1/2.What is the price of a put option on a $100 notional,6.5% coupon bond,with a strike price of $100?

• A)0.25
• B)0.54
• C)0.77
• D)0.96

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Definitions:

Marginal Utility

The boost in satisfaction from the consumption of an additional item of a good or service.

Total Utility

The overall satisfaction or pleasure a consumer derives from consuming a certain quantity of goods or services.

Marginal Utility

The extra fulfillment or advantage a person gains by consuming an additional unit of a product or service.