The relationship between income and total utility (TU) for 2 investors (Alan and Bob) is as follows:      Alan                               Bob Income      TU          Income     TU 5,000         14            5,000        6 10,000       24           10,000       14 15,000       32           15,000       24 20,000       38           20,000       36 25,000       43           25,000       52 30,000       47           30,000       72 35,000       49           35,000       100 Each investor has been confronted with the following three investment opportunities.  The first opportunity is an investment which pays €15,000 risk free.  Opportunity two offers a 0.4 probability of a €25,000 payment and a 0.6 probability of a payment of €10,000.  The final investment will either pay €35,000 with a probability of 0.25 or €5,000 with a probability of 0.75.  The expected value of opportunity two is €10,000 €6,000 €16,000 €25,000

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
Publisher:David Poole
Chapter2: Systems Of Linear Equations
Section2.4: Applications
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  1. The relationship between income and total utility (TU) for 2 investors (Alan and Bob) is as follows:

     Alan                               Bob

Income      TU          Income     TU

5,000         14            5,000        6

10,000       24           10,000       14

15,000       32           15,000       24

20,000       38           20,000       36

25,000       43           25,000       52

30,000       47           30,000       72

35,000       49           35,000       100

Each investor has been confronted with the following three investment opportunities.  The first opportunity is an investment which pays €15,000 risk free.  Opportunity two offers a 0.4 probability of a €25,000 payment and a 0.6 probability of a payment of €10,000.  The final investment will either pay €35,000 with a probability of 0.25 or €5,000 with a probability of 0.75. 

The expected value of opportunity two is

  1. €10,000
  2. €6,000
  3. €16,000
  4. €25,000
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