Suppose that we can describe the world using two states and that two assets are available, asset Kand asset L. We assume the assets' future prices have the following distributions: State Future Prices Asset K Future Prices Asset L Kat state 1 = $25 Lat state 1 = $21 Kat state 2 = $20 Lat state 2 = $27 Let K(1) = $20 denote the time O price of asset K and L(1) = $19 the time 0 price of asset L. (a) Assuming no arbitrage opportunities, what are the values of the unit claims, at time 0? (b) What is the risk-free rate of return that must exist in this market?

Microeconomic Theory
12th Edition
ISBN:9781337517942
Author:NICHOLSON
Publisher:NICHOLSON
Chapter17: Capital And Time
Section: Chapter Questions
Problem 17.7P
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Suppose that we can describe the world using two states and that two assets are available, asset K and
asset L. We assume the assets' future prices have the following distributions:
State Future Prices Asset K Future Prices Asset L
Kat state 1 = $25
Lat state 1 = $21
Kat state 2 = $20
Lat state 2 = $27
Let K(1) = $20 denote the time 0 price of asset K and L(1) = s19 the time 0 price of asset L.
(a) Assuming no arbitrage opportunities, what are the values of the unit claims, at time 0?
(b) What is the risk-free rate of return that must exist in this market?
Transcribed Image Text:Suppose that we can describe the world using two states and that two assets are available, asset K and asset L. We assume the assets' future prices have the following distributions: State Future Prices Asset K Future Prices Asset L Kat state 1 = $25 Lat state 1 = $21 Kat state 2 = $20 Lat state 2 = $27 Let K(1) = $20 denote the time 0 price of asset K and L(1) = s19 the time 0 price of asset L. (a) Assuming no arbitrage opportunities, what are the values of the unit claims, at time 0? (b) What is the risk-free rate of return that must exist in this market?
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