Samantha's wealth is $100 000,she expects to work for another 30 years at a constant salary of $200 000 and live for another 50 years.Assume taxes are zero and that Samantha completely smooths consumption over her lifetime.Calculate the following:
a. Samantha's annual consumption
b. Samantha's annual consumption if she won $50 000 in the lottery during her first year of work
c. Samantha's annual consumption if her lottery win paid $50 000 per year for 30 years
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