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Suppose an individual, Dili, is deciding whether to invest in a project. Dili has utility function U(y) = y, where y is net income in
Suppose an individual, Dili, is deciding whether to invest in a project. Dili has utility function U(y) = y, where y is net income in dollars. The project costs $50 this year (t=0), $10 next year (t=1), and nothing in the following year (t=2). It will provide benefits of $40 next year (t=1) and $40 in the following year (t=2).
- Suppose Dili has time-consistent preferences with discount factor . Will Dili invest in the project?
- Suppose Dili has time-inconsistent preferences with discount factor and present bias parameter .Will Dili invest in the project?
- Now suppose Dili has time-inconsistent preferences with discount factor and present bias parameter . Dili has the option to start investing in the project next year (i.e., the project would cost $50 in year t=1 and $10 year t=2 and provide benefits of $40 in year t=2 and $40 in year t=3). Will Dili plan to start investing in the project next year, assuming she could commit to doing so?
- Now suppose Dili could not commit to investing in the project next year and is aware of her time-inconsistent preferences with discount factor and present bias parameter . Will Dili plan to start investing in the project next year? Explain how this answer compares with part c.
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