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
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
Chapter7: Uncertainty
Section: Chapter Questions
Problem 7.10P
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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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F9b692258-86cf-4623-96eb-2ba71299639e%2Fe7f44798-d592-445e-80f8-e35ec95def6c%2Fbq7iyys_processed.jpeg&w=3840&q=75)
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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