Question is on overlapping generations model.

1. Consider the OLG model with the following specications: I Let the utility of household 1' of cohort t be u{ci(aci{t+1))=scams cam) where U s: ,3 -:'.' l. I Preferences are the same across individuals and across generations. I There is no population growth: N{f+ 1) = NH} 'v't. . Y{t} = mamas-9. I The depreciation rate is 100%: 5 = 1. Questions [a] 1|Write a young consumer's problem. [b] Find an individual's savings sit} as a function of my, my,\" and r. {also parameters ,5, a, and a}. [c] Determine analytically whether sf} increases or decreases with ,3. {d} 1|Write SH} as a function of the my, my\