5. Consider a complete one-period model with N = {W, W2, W3, W} and let V,...

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5. Consider a complete one-period model with N = {W₁, W2, W3, W₁} and let V¹, V², V³, and V4 denote the Arrow-Debru securities with payment functions vi (w) = { Assume that the initial prices of these securities are W₁(w₁) = 14, W₁ (W₂) 1 V¹ = $0.38, V² = $0.095, V³ = $0.19, V = $0.285. 0 (a) Find the arbitrage-free price W₁ of the derivative security W with payment function W₁ given by = W = Wi w=wi. Vi (w) = (b) Determine the interest rate r. 6. Consider a one-period model with {W₁, W₂, ..., WN}. Let V¹, V²,..., VN denote the Arrow-Debru securities which make payments P(wi) = = = 3, W₁(W3) = 0, W₁(w₁) = -6. W = Wi w #Wi Assume that the prices V₁, V2,...,VN of the Arrow-Debru securities at time t : known. = (a) Let Vi V₁ + V² + + VN 0 are gives a risk-neutral probability measure P. (b) Is this the only risk-neutral probability measure in this model, or could there be others? 5. Consider a complete one-period model with N = {W₁, W2, W3, W₁} and let V¹, V², V³, and V4 denote the Arrow-Debru securities with payment functions vi (w) = { Assume that the initial prices of these securities are W₁(w₁) = 14, W₁ (W₂) 1 V¹ = $0.38, V² = $0.095, V³ = $0.19, V = $0.285. 0 (a) Find the arbitrage-free price W₁ of the derivative security W with payment function W₁ given by = W = Wi w=wi. Vi (w) = (b) Determine the interest rate r. 6. Consider a one-period model with {W₁, W₂, ..., WN}. Let V¹, V²,..., VN denote the Arrow-Debru securities which make payments P(wi) = = = 3, W₁(W3) = 0, W₁(w₁) = -6. W = Wi w #Wi Assume that the prices V₁, V2,...,VN of the Arrow-Debru securities at time t : known. = (a) Let Vi V₁ + V² + + VN 0 are gives a risk-neutral probability measure P. (b) Is this the only risk-neutral probability measure in this model, or could there be others?

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a To find the arbitragefree price W of the derivative security W we can use the riskneutral pricing formula The price of W at time t0 is given by W W ... View the full answer