The table sets out the data for an economy when the government's budget is balanced. Calculate the equilibrium real interest rate, investment, and private saving. If planned saving increase by $0.5 billion at each real interest rate, explain the change in the real interest rate. If planned investment increases by $1 billion at each real interest rate, explain the change in saving and the real interest rate.

Real Loanable funds Loanable funds interest rate demanded (percent supplied per year) (billions of 2007 dollars) 6.5 4.5 6.0 5.0 5.5 5.5 5.0 6.0 4.5 6.5 4.0 7.0 10 3.5 7.5