Question

g On January 1, you win $50,000,000 in the state lottery. The $50,000,000 prize will be paid in equal installments of $6,250,000 over eight years. The payments will be made on December 31 of each year, beginning on December 31 of this year. If the current interest rate is 12%, determine the present value of your winnings. Use the present value tables in Exhibit 7. Round to the nearest whole dollar. $ Will the present value of your winnings using an interest rate of 12% be more than the present value of your winnings using an interest rate of 5%?

Answer 1

Present value = $31,047,749

No. The present value when the interest rate is 12% is less than the present value when the interest rate is 5%

Step-by-step explanation:

Present value is the sum of discounted cash flows.

Present value can be calculated using a financial calculator

Cash flow each year from year 1 to 8 = $6,250,000

I = 12%

Present value = $31,047,748.54

Present value when interest rate is 5% = $40,395,079.75

The present value when interest rate is 5% is greater than the present value when interest rate is 12%

To find the NPV 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