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rusak2 [61]
3 years ago
7

A lottery claims its grand prize is 10 million payable over 20 years at 500000 per year. if the first payment is made immediatel

y what is this grand prize really worth use interest rate of 6%?
Mathematics
1 answer:
kaheart [24]3 years ago
4 0

Answer:

6079058.246

Step-by-step explanation:

This is annuity due problem, where the payment is made at the beginning of the year. Here, also the payment is made immediately.

Now, applying Annuity due formula

PV= A(1-(1+i)^-n)/i *(1+i)

So, PV is present value of Grand. That is what we want to find

A= annuity (the yearly payment) in this case, it is 500,000

i= is interest rate which is 6%

n= number of years, 20 years

putting all these values in the formula

PV=500,000(1-(1+0.06)^-20)/0.06 *(1+0.06)

we get 6,079,058.246

This is what the grand price of 10 M worth today.

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