4. (5 points) Suppose that you are now 25 years old with $30,000 in student loan debt (i.e., you currently have negative financial net worth). You earn $50,000/year (paid at year end). Your wage is growing at the rate of gw = 1% per year. You plan to retire when you reach 65, and you expect to live until you are 85. Suppose that your patience parameter is gc = 0% per year and the discount rate is v = 3% p.a., annual compounding. Also, the interest rate on your student loan is the same as the discount rate (i.e., 3% p.a.). Your subsistent level of consumption is $18,000 per year, and its growth rate is gb = 0% per year. Under the consumption smoothing approach, what is your optimal total current consumption per year? Please assume that consumption occurs at the end of year.