2) There are four possible states of the world: 1, 2, 3, and 4, with corresponding state claims: S1, S2, S3, and S4. Three assets are available with asset prices (in dollars) and payoffs (in "corn") in the four states given below: A1: price - $24 payoffs: (1, 2, 3, 4) A2: price = $13 payoffs: (0, 1, 2, 3) A3: price = $12 payoffs: (0, 0, 2, 4) No other assets are available. A) Find a portfolio that replicates the state claim S1 with payoff (1, 0, 0, 0) B) What is the price of that state claim? C) Explain why at least one of S2, S3, and/or S4 cannot be replicated with these assets.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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2) There are four possible states of the world: 1, 2, 3, and 4, with corresponding state
claims: S1, S2, S3, and S4. Three assets are available with asset prices (in dollars) and
payoffs (in "corn") in the four states given below:
A1: price
-
$24 payoffs: (1, 2, 3, 4)
A2: price
=
$13 payoffs: (0, 1, 2, 3)
A3: price = $12 payoffs: (0, 0, 2, 4)
No other assets are available.
A) Find a portfolio that replicates the state claim S1 with payoff (1, 0, 0, 0)
B) What is the price of that state claim?
C) Explain why at least one of S2, S3, and/or S4 cannot be replicated with these assets.
Transcribed Image Text:2) There are four possible states of the world: 1, 2, 3, and 4, with corresponding state claims: S1, S2, S3, and S4. Three assets are available with asset prices (in dollars) and payoffs (in "corn") in the four states given below: A1: price - $24 payoffs: (1, 2, 3, 4) A2: price = $13 payoffs: (0, 1, 2, 3) A3: price = $12 payoffs: (0, 0, 2, 4) No other assets are available. A) Find a portfolio that replicates the state claim S1 with payoff (1, 0, 0, 0) B) What is the price of that state claim? C) Explain why at least one of S2, S3, and/or S4 cannot be replicated with these assets.
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