Exercise 9.3.3 Verify the following with the BlackScholes formula and give heuristicarguments as to why they should

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Exercise 9.3.3 Verify the following with the Black–Scholes formula and give heuristicarguments as to why they should hold without invoking the formula.

(1) C ≈ S− Xe−rτ if S X. (2) C→S as τ →∞. (3) C→0 as σ →0 if S <

Xe−rτ . (4) C→S− Xe−rτ as σ →0 if S > Xe−rτ . (5) C→S as r →∞.

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