a) A retired person’s income comes from earnings on her savings
of £200,000. The table below shows how she values different levels
of income.
Income Total Utility
5,000 12
10,000 22
15,000 30
20,000 36
25,000 40
30,000 42
(i) Describe, using first and second derivatives, her attitude
toward risk? Briefly explain.
(ii) She is currently earning 10% on her £200,000 in a risk free
investment. She has the choice of investing in a project that has a
40% probability of yielding a return of £30,000 return on her
investment and a 60% probability of yielding $10,000 return on her
investment. Will she be better off if she moved her £200,000 to the
risky project? Explain.
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