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Assume in the real world S_T = S_0e^(mu - sigma^2/2) T - sigma Squareroot TZ and in the risk-neutral world S_T = S_0 e^(r -
Assume in the real world S_T = S_0e^(mu - sigma^2/2) T - sigma Squareroot TZ and in the risk-neutral world S_T = S_0 e^(r - sigma^2/2) T - sigma Squareroot T Z. Suppose the values of r, sigma, mu, T, K, S_0 (and hence d_1, d_2 as well) are unknown. Assume the real world is risk averse. Consider a European call on the asset with expiration T and strike K. (a) Suppose P (Z > d_2) = 0.7 is known. What if anything is known about the probability of the call being exercised in the real world or risk neutral world? (b) Suppose P (Z > d_1) = 0.7 is known. What if anything is known about the probability of the call being exercised in the real world or risk neutral world? Assume in the real world S_T = S_0e^(mu - sigma^2/2) T - sigma Squareroot TZ and in the risk-neutral world S_T = S_0 e^(r - sigma^2/2) T - sigma Squareroot T Z. Suppose the values of r, sigma, mu, T, K, S_0 (and hence d_1, d_2 as well) are unknown. Assume the real world is risk averse. Consider a European call on the asset with expiration T and strike K. (a) Suppose P (Z > d_2) = 0.7 is known. What if anything is known about the probability of the call being exercised in the real world or risk neutral world? (b) Suppose P (Z > d_1) = 0.7 is known. What if anything is known about the probability of the call being exercised in the real world or risk neutral world
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