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E11-6 Comparing Options Using Present Value Concepts [LO 11-S1] After hearing a

ID: 2591193 • Letter: E

Question

E11-6 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 $30 million. You have three options. (a) Receive $1.5 million per year for the next 20 years. (b) Have $10.5 million today (c) Have $2.25 million today and receive $1,200,000 for each of the next 20 years. Your financial adviser tells you that it is reasonable to expect to earn 13 percent on investments. Required 1. 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, not in millions.) Present Value Option A Option B Option C 2. Determine which option you prefer. Option C Option B Option A

Explanation / Answer

Dear Student Thank you for using Chegg Please find below the answer and please give thumbs up   Statementshowing Computations Paticulars Option A Option B Option C Amount received today                                -   10,500,000.00      2,250,000.00 Amount received per year for 20 Years           1,500,000.00      1,200,000.00 PVF at 13% for 20 Years                       7.0248                  7.0248                  7.0248 Present Value         10,537,127.37                           -        8,429,701.89 Total Present Value = Received today +PV         10,537,127.37 10,500,000.00 10,679,701.89 Prefer Option C as it has highest present value Time PVF at 13%                                                                              1.00                       0.8850                                                                              2.00                       0.7831                                                                              3.00                       0.6931                                                                              4.00                       0.6133                                                                              5.00                       0.5428                                                                              6.00                       0.4803                                                                              7.00                       0.4251                                                                              8.00                       0.3762                                                                              9.00                       0.3329                                                                           10.00                       0.2946                                                                           11.00                       0.2607                                                                           12.00                       0.2307                                                                           13.00                       0.2042                                                                           14.00                       0.1807                                                                           15.00                       0.1599                                                                           16.00                       0.1415                                                                           17.00                       0.1252                                                                           18.00                       0.1108                                                                           19.00                       0.0981                                                                           20.00                       0.0868                       7.0248