. Peter has just graduated from high school. He will live for three more periods and is considering three alternative education-work options. He can start working right away, earning $100,000 in period 1, $110,000 in period 2, and $90,000 in period 3. He can also go to college in period 1, spending $10,000 in tuition and books in that period, and then earn $150,000 in periods 2 and 3. Finally, he can get a doctorate degree in period 2 after completing his college education. If he gets a doctorate degree he will not need to pay for tuition or books in period 2 (he will receive a fellowship) and he will earn $300,000 in period 3. The rate of discount is 20 percent. What should Peter do

Variable rate cd’s = $90 treasury bills = $150 discount loans = $20 treasury notes = $100 fixed rate cds = $160 money market deposit accts. = $140 savings deposits = $90 fed funds borrowing = $40 variable rate mortgage loans $140 demand deposits = $40 primary reserves = $50 fixed rate loans = $210 fed funds lending = $50 equity capital = $120 a. develop a balance sheet from the above data. be sure to divide your balance sheet into rate-sensitive assets and liabilities as we did in class and in the examples. b. perform a standard gap analysis and a duration analysis using the above data if you have a 1.15% decrease in interest rates and an average duration of assets of 5.4 years and an average duration of liabilities of 3.8 years. c. indicate if this bank will remain solvent after the valuation changes. if so, indicate the new level of equity capital after the valuation changes. if not, indicate the amount of the shortage in equity capital.