Currently a government budget is balanced. The marginal propensity to consume is 0.75. The government has determined that each additional $10 billion in new government debt it issues to finance a budget deficit pushes up the market interest by 0.20 percentage points. It has also determined that every 0.10 (one-tenth) percentage point change in the market interest rate generates a change in planned investment expenditures equal to $2 billion. finally, the government knows that to close a recessionary gap and take into account the resulting change in the price level, it must generate a net rightward shift in the aggregate demand curve equal to $250 billion.
Assuming that there are no direct expenditure offsets to fiscal policy, calculate the increase in government expenditures. (hint: how much private investment spending will each $10 billion increase in government spending crowd out?) Round answer to two decimal points.
Please list answer step by step.