Suppose $250,000 is used to establish an annuity that earns 6%, compounded quarterly, and pays $6000 at the end of each quarter. It will take about 120 quarters until the account balance reaches $0.
Amount invested (Present value) = $250000
Quarterly payment (At the end of each quarter) (P) = $4500
Interest Rate (Quarterly) (r) = 6% /4
= 1.5% = 0.015
A number of quarters (n) = ?
Future value at the end = 0
Present value of Annuity formula:
Present value = P × ![(1-(1+r))^{(-n)} / r](https://tex.z-dn.net/?f=%281-%281%2Br%29%29%5E%7B%28-n%29%7D%20%20%2F%20r)
250000 = 4500 × ![(1-((1+0.015))^{(-n)} / 0.015](https://tex.z-dn.net/?f=%281-%28%281%2B0.015%29%29%5E%7B%28-n%29%7D%20%20%2F%200.015)
250000 = 300000 × ![(1-((1+0.015)}}^{(-n)}](https://tex.z-dn.net/?f=%281-%28%281%2B0.015%29%7D%7D%5E%7B%28-n%29%7D)
250000 / 300000 = ![1-(1+0.015)^{(-n)}](https://tex.z-dn.net/?f=1-%281%2B0.015%29%5E%7B%28-n%29%7D)
0.83333 = ![1-(1.015)^{(-n)](https://tex.z-dn.net/?f=1-%281.015%29%5E%7B%28-n%29)
n = 120
Hence is shall take 120 Quarters until the account balance is $0.
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The World Trade Organization (WTO) is the global international organization that deals with trade rules between different nations. The World Bank handles all financial assitance with developing countries around the world. Though they both help different nations, one handles the trade between nations and the other handles financial monetary assets.
Answer:
$164,313.82
Explanation:
In this question we have to apply the present value formula i.e to be shown in the attachment
Provided that,
Future value = $0
Rate of interest = 9%
NPER = 20 years
PMT = $18,000
The formula is shown below:
= -PV(Rate;NPER;PMT;FV;type)
So, after applying the above formula the present value is $164,313.82
She would receive unemployment