8. Suppose that the world can be described using two states and two stocks Yand 2 are available. We assume the stocks' future prices have the following distributions State Future Prices Stock Y Future Prices Stock Z $15 $11 1 $10 $20 The initial prices for the stocks are: Y(1) $13, Z(1) = $10. Our utility function in (wl, w2) space is U(w1, w2) = w1 X w2, where U represents the utility level. Now we have an initial endowment of $420. How many shares and what positions of Y and Z should we choose to build our portfolio so that we actually maximize our utility function? (Assume fractional shares are permitted.) Whot

ENGR.ECONOMIC ANALYSIS
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8. Suppose that the world can be described using two states and two stocks Yand 2
are available. We assume the stocks' future prices have the following distribution
State
Future Prices Stock Y
Future Prices Stock Z
$10
$20
$15
$11
1
The initial prices for the stocks are: Y(1) = $13, Z(1) = $10. Our utility
function in (w1, w2) space is U(w1, w2) = w1 X w2, where U represents the
utility level. Now we have an initial endowment of $420. How many shares and
what positions of Y and Z should we choose to build our portfolio so that we
actually maximize our utility function? (Assume fractional shares are permitted.)
%3D
Whot oMO
Transcribed Image Text:8. Suppose that the world can be described using two states and two stocks Yand 2 are available. We assume the stocks' future prices have the following distribution State Future Prices Stock Y Future Prices Stock Z $10 $20 $15 $11 1 The initial prices for the stocks are: Y(1) = $13, Z(1) = $10. Our utility function in (w1, w2) space is U(w1, w2) = w1 X w2, where U represents the utility level. Now we have an initial endowment of $420. How many shares and what positions of Y and Z should we choose to build our portfolio so that we actually maximize our utility function? (Assume fractional shares are permitted.) %3D Whot oMO
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