22.Gymnastics4Life is a high-end facility for beginning, intermediate, and elite gymnasts. The latter are drawn from the nearby region for exclusive and dedicated training. In order to maintain their edge, G4L trustees wish to invest up to $350,000 in new methods for critical evaluation and training and are considering the following independent,divisible, investments, each of which guarantees return of the initial investment at the end of a planning horizon of 7 years. In addition, G4L will receive annual returns as noted below. MARR is 12%.

InvestmentInitial InvestmentAnnual Return1$150,000$24,0002$130,000$22,0003$100,000$15,0004$160,000$25,0005$200,000$30,000

a.Determine the optimum portfolio, including which investments are fully or partially (if partial, give percentage) selected. You may use Excel; donotuse SOLVER.

b.Determine the optimum portfolio and its PW, specifying which investments are fully or partially (give percentage) selected using (1) the current limit on investment capital, (2) plus 20%, and (3) minus 20%. Use Exceland SOLVER.

c.Determine the optimum portfolio and its PW, specifying which investments are fully or partially (give percentage) selected using (1) the current MARR, (2) plus 20%, and (3) minus 20%. Use Exceland SOLVER.

d.Determine the optimum investment portfolio and its PW when investments 1 and 2 are divisible and investments 3, 4, and 5 are indivisible. Use Exceland SOLVER.

Use excel only to answer

Answer Key

22a: PWtotal = 68.1k IRR = 16.27%

22b: PW = 56.5k; PW = 68.1k; PW = 79.7k

22c: MARR = 9.6%; 12%; 14.4% and PW = 115.1k; 68.1k; 27.6k

22d:PWtotal = 66.6k; IRR = 16.17%