3)You have won a contest and are allowed to choose between two prizes. One option is to receive$200 today and another $200 one year from now. The second option is $100 today and anadditional $325 one year from now. At what interest rate (if any) is the present value of the twoprizes identical?3)A)0 percentB)5 percentC)25 percentD)10 percentE)none of the above

The interest rate where the present value of the two two prizes would be identical can be found using a financial calculator and trial and error method.

Option A :

Cash flow for year zero = $200

Cash flow for year one = $200

Present value when I is 0 = $400

Present value when I is 5 = $390.48

Present value when I is 10 = $381.82

Present value when I is 25 = $360

Option B

Cash flow in year 0 =$100

Cash flow in year 1 = $325

Present value when I is 0 = $425

Present value when I is 5 = $409.52

Present value when I is 25 = $360

Present value when I is 10 = $395.45

It can be seen that it's at 25% that both cash flows would be equal.

To find the PV using a financial calacutor:

1. Input the cash flow values by pressing the CF button. After inputting the value, press enter and the arrow facing a downward direction.

2. After inputting all the cash flows, press the NPV button, input the value for I, press enter and the arrow facing a downward direction.

3. Press compute

I hope my answer helps you