Formula to calculate present value of annuity | ||||
Present value of annuity | Annual payment*(1-((1+r)^-n)/r | |||
Calculation of present value of option (a) | ||||
Present value of annuity | Annual payment*Present value of annuity of $1 (i=13%, n= 20) | |||
Present value of annuity | 1800000*7.0248 | |||
Present value of annuity | $12,644,640 | |||
Calculation of present value of option (b) | $12,000,000 | |||
Calculation of present value of option (c) | ||||
Present value of annuity | Annual payment*Present value of annuity of $1 (i=13%, n= 20) | |||
Present value of annuity | 2000000+1500000*7.0248 | |||
Present value of annuity | $10,737,200 | |||
2. | ||||
Option (a) should be selected as it has higher value in present value terms | ||||
After hearing a knock at your front door, you are surprised to see the Prize Patrol...
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 $22 million. You have three options. (a) Receive $1.1 million per year for the next 20 years. (b) Have $8.5 million today. (0) Have $2.5 million today and receive $800,000 for each of the next 20 years. Your financial adviser tells you...
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8. value: 0.25 points 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 $20 million. You have three options: (a) Receive $1 million per year for the next 20 years. (b) Have $8 million today. (c) Have $2 million today and receive $700,000 for each of the next 20 years, Your...
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After hearing a knock at your front the good news that you are the big winner, having won $31 million. You have three options. door r, you are surprised to see the Prize Patrol from a large, well-known magazine subscription company. It has arrived with (a) Receive $1.55 million per year for the next 20 years. (b) Have $10.75 million today. (c) Have $2.5 million today and receive $1,250,000 for each of the next 20 years Your financial adviser tells...