In Friedmania, a new nation that wants to follow the Friedma…

In Friedmania, a new nation that wants to follow the Friedman Rule, the real interest rate is 5% per year, real GDP grows at 1% per year, and the capital share of GDP is 30%. If the country wants to follow the Friedman rule, what annual inflation rate should the central bank aim for on average?  Answer in percent, but leave out the percentage sign. So if you think the inflation rate should be 15% per year, write 15, not 0.15. If you think the answer should be -30% per year, write -30, not -0.3. 

A country’s production function works like this each year:…

A country’s production function works like this each year: Y = 4K0.5 It rents capital from the rest of the world at a cost of r per unit of capital per year. Fortunately for us, capital doesn’t depreciate in this country, and since firms are profit maximizing, then MPK=r. The marginal benefit of a unit of capital is the MPK and the marginal cost of a unit of capital is r.  If the rental rate of capital is 0.1 (or 10% per year), how much capital will it rent this year, if firms in this country are profit-maximizers?