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Exercise


ABy Admin
May 14'23

Answer

Key: A

The risk-neutral probability of an increase is:

[[math]] 1-q = \frac{e^{0.0275*0.5}-d}{u-d} = 0.44003 [[/math]]

Then

[[math]] 2.482 = e^{−0.0275*0.5} ((1 − q)*0 + q *( S − 4.5 − 0.7966S )) \Rightarrow S = 44.22 [[/math]]

Copyright 2023. The Society of Actuaries, Schaumburg, Illinois. Reproduced with permission.

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