Linus Piecewise Is an Expected Utility Maximizer

question 39

Essay

Linus Piecewise is an expected utility maximizer. There are two events, H and T, which each have probability . Linus's preferences over lotteries in which his wealth is h if event H happens and t if event T happens are representable by the utility function . The function u takes the following form. For any x, u(x) = x if x < 100 and u(x) = 100 + if x is greater than or equal to 100. Draw a graph showing the indifference curves for Linus that pass through
a. the point (50, 0)
b. the point (50, 100)
c. the point (100, 100)
d. the point (150, 100)

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Definitions:

Yield to Maturity

The overall anticipated gain on a bond if retained until its expiration date.

Bearer Bond

A bearer bond is a type of fixed-income security that is not registered in the owner's name, allowing the holder of the document to collect the interest and principal payments.

Registered

This can refer to securities, companies, or assets that have been officially recorded and recognized by regulatory authorities.

Premium

The amount by which the price of a financial instrument or commodity exceeds its principal or face value, or the amount paid for an insurance policy.