Q1. Consider the overlapping generations model where each member lives for two time periods 't' and (t+1). Assume that individuals work in time period 't' and earn wage income, while they do not work in time period (t+1) and survive on interest income. Explain the impact of an increase in interest rate on consumption during time period ‘t'.
- OLG individuals work in period 't', save for period 't+1' retirement.
- Intertemporal budget constraint: `c₁ + c₂/(1+r) = W` (present value of consumption equals income).
- Substitution effect: Higher 'r' makes current consumption costlier, reducing `c₁`.
- Income effect: Higher 'r' increases saver's lifetime wealth, increasing `c₁`.
Answer: In the overlapping generations (OLG) model, individuals live for two periods: young (period 't') and old (period 't+1'). During period 't', they work and earn a wage income, `W`, part of which they consume (`c₁`) and part they save (`s`). In period 't+1', they retire and consume (`c₂`) using their accumulated savings plus interest. This setup necessitates intertemporal decision-making, where individuals allocate their lifetime resources across the two periods to maximize utility. The budget con...