Buy custom Explain Why It Is Impossible To Derive An Analytical Formula For Valu
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Business
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Number of pages / Number of words: |
7 / 1770 |
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The graph representing the value of the put therefore
merges into the put's intrinsic value, X - S, for a sufficiently small value of
S which is shown as point A in the graph. When volatility and time to
expiration increase, the value of the put moves in the direction indicated by
the arrows.
In other words, according to Cox and Rubinstein, there must always be some
critical value, S`(z), for every time instant z between time t and time T, at
which the investor will exercise the put option if that critical value, S(z),
falls to or below this value (this is when the investor thinks it is the optimal
decision to follow)...
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More importantly, this critical value, S`(z) will depend
on the time left to expiry which therefore also implies that S`(z) is actually a
function of the time to expiry. This function is referred to, according to
Walker, as the Optimum Exercise Boundary (OEB).
However in order to be able to value an American put option, we need to solve
for the put valuation foundation and then optimum exercise boundary at the same
time...
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