IS-LM represents the goods (IS) and money (LM) market
IS-LM focuses on the equilibrium behaviour of the economy in the short run
Changes in consumer behaviour (income/consumption/savings/fiscal policy) shift IS
Changes in money supply (monetary policy) shift LM
The IS curve represents all possible combinations of (RGDP, r) for which the goods market (AD and AS) is in equilibrium
IS is downward-sloping because lower r → Increased Investment → Increased RGDP [Investment-Driven Derivation]
IS is downward-sloping because Lower RGDP → Lower Savings → Higher r (Demand for money is higher) [Savings-Driven Derivation]
Real Money = Money Supply / CPI
On the LM curve, real money is assumed to be constant
LM is upward-sloping because higher RGDP → higher animal spirits → higher demand for Money/Liquidity → higher r
LM shifts when real money is adjusted
IS shifts when savings or investments change
The final increase in AD and income is greater than the initial government spending because consumer spending leads to further economic reinvestment (Keynesian Multiplier).
The increase in income induces excess demand for money, hence r increases. This decreases investment spending and partially offsets the increase in AD, aka crowding out.
The long-run Phillips Curve is vertical, where unemployment is fixed at the natural unemployment rate.