Macroeconomics 101 Problem: Aggregate Demand Changes

Consumer spending initially rises by 5 billion for each 1% increase in household wealth. Investment spending initially increases $20 billion for each 1% decrease in real interest rate. The multiplier is 4. If house household wealth decreases by 5% and real interest rate falls by 2%, (1) in what direction and by how much will aggregate demand shift at each price level. (2) In what direction and by how much will it eventually shift. $$\quad -5\% \quad \text{in} \quad HH\quad { Y }_{ d }\text{ } \Longrightarrow \text{ } -25\text{ }\text{billion in}\text{ } C$$ $$\quad -2\%\quad \text{in}\quad i\text{ } \Longrightarrow \text{ } +40\text{ }\text{billion in}\text{ } { I }_{ g }$$ If I treat aggregate demand the same way as aggregate expenditure (is this right?), then with government spending and exports constant, the initial change is $$-25\quad billion\quad +\quad 40\quad billion\quad =\quad +15\quad billion$$ and for the long term we use the multiplier, $$\Delta C\quad =\quad -25\quad billion\quad \times \quad 4\quad =\quad -100\quad billion$$ and $$\Delta I\quad =\quad 40\quad billion\quad \times \quad 4\quad =\quad 160\quad billion$$ So the long term change is +$60 billion? (i.e. curve shift out to the right)