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

question 8

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 call option on a two-year 6.5% coupon bond, with a strike price of $100 ex-coupon?

• A) 0.50
• B) 0.55
• C) 0.60
• D) 0.65

---

Definitions:

Investment Projects

Initiatives undertaken by a business or individual involving the allocation of resources with the expectation of future benefits, such as profits or interest.

Profitability Index

Profitability Index (PI) is an investment appraisal technique that calculates the ratio between the present value of future cash flows and the initial investment cost, helping to determine the desirability of a project.

Cash Outflows

Money or funds leaving a business, typically for expenses, investments, or other payments.

Investment Projects

Initiatives or plans requiring capital investments aimed at generating future benefits or returns.