Answer: $1.57 billion
Explanation:
Given that,
Government purchases multiplier = 1.57
Increase in government purchases = $1 billion
[tex]Multiplier=\frac{Change\ in\ Real\ GDP}{Change\ in\ Government\ Purchases}[/tex]
[tex]1.57=\frac{Change\ in\ Real\ GDP}{1,000,000,000}[/tex]
Change in Real GDP = 1.57 × 1,000,000,000
= $1,570,000,000
= $1.57 billion
Hence, $1 billion increase in government purchases will lead to increase equilibrium real GDP by $1.57 billion.