Page 1 of 1

Can anyone help me answee this question by giving detailed explanation like the calculation?

Posted: Mon Mar 21, 2022 4:30 pm
by answerhappygod
Can anyone help me answee this question by giving detailed explanation like the calculation?
Can Anyone Help Me Answee This Question By Giving Detailed Explanation Like The Calculation 1
Can Anyone Help Me Answee This Question By Giving Detailed Explanation Like The Calculation 1 (137.78 KiB) Viewed 31 times
Consider an optimal saving problem under uncertainty in a two-period economy, t = 0 and t = 1. Assume the consumer with initial wealth Yo has Bernoulli utility of the logarithmic form, and the consumer is trying to maximize expected utility of total consumptions at both periods: In(co) + BE[In(Ğ)], w where ß is the time discount factor that measures how patient the consumer is. Suppose in this economy, there exists only one saving device, a stock, which provides return ro in good state that occurs with probability 7 and return rb in a bad state that occurs with probability 1 - 1. Then what is the optimal amount of saving in stock for this consumer? How does the optimal saving depend on 7, and can we generalize this dependency property to any Bernoulli utility function? -