Rita Gonzales won the $53 million lottery. She is to receive $2.2 million a year for the next 20 years plus an additional lump sum payment of $9 million after 20 years. The discount rate is 12 percent. What is the current value of her winnings

PV= $17,365,776.86

Explanation:

Giving the following information:

Cf= 2,200,000

Number of years= 20

Discount rate= 12%

Additional lump sum= 9,000,000

First, we need to calculate the future value using the following formula:

FV= {A*[(1+i)^n-1]}/i

A= annual cash flow

FV= {2,200,000*[(1.12^20) - 1]} / 0.12 + 9,000,000

FV= $167,515,373.4

Now, the present value:

PV= FV/(1+i)^n

PV= 167,515,373.4/1.12^20

PV= $17,365,776.86

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explanation:

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hi : ) i found this so i hope this !

"we first find value of tax in dollars.

the difference between the two prices   is: 23. 54 - 22 = 1.54

therefore the sales tax in dollars is 1.54

the tax % will be   (amount of tax / original cost price ) × 100

(1.54 / 22) × 100  → (0.07) × 100 =   7

so the tax rate is 7%

we can double check the answer.

7 % of 22   → (7/100) × 22 → 0.07 × 22 = 1.54

22 + 1.54 = 23.54"