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Fix the mistake please Comparing Options Using Present Value Concepts [LO 11-S1]

ID: 2473231 • Letter: F

Question

Fix the mistake please

Comparing Options Using Present Value Concepts [LO 11-S1] After hearing a knock at your front door, you are surprised to see the Prize Patrol from a large, well-known magazine subscription company. It has arrived with the good news that you are the big winner, having won $35 million. You have three options. Receive $1.75 million per year for the next 20 years. Have $11.75 million today. Have $3.5 million today and receive $1,450,000 for each of the next 20 years. Your financial adviser tells you that it is reasonable to expect to earn 12 percent on investments. Requirement: Calculate the present value of each option. (Future Value of $1. Present Value of $1. Future Value Annuity of $1. Present Value Annuity of $1.) (Use appropriate factor(s) from the tables provided. Enter your answers in dollars but not in millions.) Determine which option you prefer.

Explanation / Answer

Dear student answer for part a is 13,071,526.

Option C is best as it has highest Present Value of         14,330,693.26 Statement showing Cash flows a) b) c) Particulars Time PVF@12% Amount PV Amount PV Amount PV Cash flows                                 -                          1.00                            -      11,750,000.00    11,750,000.00    3,500,000.00      3,500,000.00 Cash flows                            1.00                   0.8929    1,750,000.00      1,562,500.00                            -      1,450,000.00      1,294,642.86 Cash flows                            2.00                   0.7972    1,750,000.00      1,395,089.29                            -      1,450,000.00      1,155,931.12 Cash flows                            3.00                   0.7118    1,750,000.00      1,245,615.43                            -      1,450,000.00      1,032,081.36 Cash flows                            4.00                   0.6355    1,750,000.00      1,112,156.64                            -      1,450,000.00          921,501.21 Cash flows                            5.00                   0.5674    1,750,000.00          992,997.00                            -      1,450,000.00          822,768.94 Cash flows                            6.00                   0.5066    1,750,000.00          886,604.46                            -      1,450,000.00          734,615.13 Cash flows                            7.00                   0.4523    1,750,000.00          791,611.13                            -      1,450,000.00          655,906.36 Cash flows                            8.00                   0.4039    1,750,000.00          706,795.65                            -      1,450,000.00          585,630.68 Cash flows                            9.00                   0.3606    1,750,000.00          631,067.54                            -      1,450,000.00          522,884.54 Cash flows                          10.00                   0.3220    1,750,000.00          563,453.16                            -      1,450,000.00          466,861.19 Cash flows                          11.00                   0.2875    1,750,000.00          503,083.18                            -      1,450,000.00          416,840.35 Cash flows                          12.00                   0.2567    1,750,000.00          449,181.41                            -      1,450,000.00          372,178.88 Cash flows                          13.00                   0.2292    1,750,000.00          401,054.83                            -      1,450,000.00          332,302.58 Cash flows                          14.00                   0.2046    1,750,000.00          358,084.67                            -      1,450,000.00          296,698.73 Cash flows                          15.00                   0.1827    1,750,000.00          319,718.46                            -      1,450,000.00          264,909.58 Cash flows                          16.00                   0.1631    1,750,000.00          285,462.91                            -      1,450,000.00          236,526.41 Cash flows                          17.00                   0.1456    1,750,000.00          254,877.60                            -      1,450,000.00          211,184.29 Cash flows                          18.00                   0.1300    1,750,000.00          227,569.28                            -      1,450,000.00          188,557.41 Cash flows                          19.00                   0.1161    1,750,000.00          203,186.86                            -      1,450,000.00          168,354.83 Cash flows                          20.00                   0.1037    1,750,000.00          181,416.84                            -      1,450,000.00          150,316.81 PV of Cash Flows    13,071,526.34    11,750,000.00    14,330,693.26