If the government borrows $2 trillion to cover up the budget deficit, the supply of loanable funds in the market reduces by $2 trillion at every stage. Equilibrium is achieved where supply = demand for loanable funds. In this case, after government borrowing, the equilibrium is at a real interest rate of 6%, where the the quantity of private investment is $7.5trillion.
There is a crowding out of $1 trillion private investment since without government borrowing the equilibrium quantity is at $8.5 trillion at an interest rate of 4%. Government borrowing raises the market interest rates (in this case, by 2%), therefore, making loans costlier to obtain, reducing private investment.
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