(a) Consider an economy in a long-run equilibrium. Write down general the first-order condition (Euler equation) for consumption and explain it. (b) Find an expression for the long-run real interest rate if the utility function is the natural log function (Ct)=l(Ct) and if technology grows at the rate g. (c) What will the real interest rate be if =0.03 and g=0.03 ? (d) Suppose that the real net return on capital (r) is taxed at the rate r. How will this affect the required return on investment? (e) What will the real interest rate be if =0.03,g=0.03, and r=0.3 ? (f) What will the real interest rate be if =0.03,g=0.03, and r=0.5 ? (g) What is the effect on the real interest rate before tax and the steady state capital stock of an increase in the tax on interest income? (h) Illustrate the effects of the capital tax on the capital stock. What will happen to output per worker? (a) Consider an economy in a long-run equilibrium. Write down general the first-order condition (Euler equation) for consumption and explain it. (b) Find an expression for the long-run real interest rate if the utility function is the natural log function (Ct)=l(Ct) and if technology grows at the rate g. (c) What will the real interest rate be if =0.03 and g=0.03 ? (d) Suppose that the real net return on capital (r) is taxed at the rate r. How will this affect the required return on investment? (e) What will the real interest rate be if =0.03,g=0.03, and r=0.3 ? (f) What will the real interest rate be if =0.03,g=0.03, and r=0.5 ? (g) What is the effect on the real interest rate before tax and the steady state capital stock of an increase in the tax on interest income? (h) Illustrate the effects of the capital tax on the capital stock. What will happen to output per worker