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strojnjashka [21]
3 years ago
7

Find the lump sum deposited today that will yield the same total amount as this yearly payment (made at the end of each year for

20 years at the given interest rate, compounded annually).
Business
1 answer:
Oduvanchick [21]3 years ago
6 0

Answer:

$129,108.10

Explanation:

Missing word <em>"$9500 at 4%"</em>

<em />

Present Value of the amount to be deposited P = ?

Annual Year end payment A = $9,500

Rate of interest r = 4% compounded annually

Period of payment n = 20 years

P = A * [1- (1/(1+r)^n)] / r

P = $9500 * [1 - (1/(1+0.04)^20)] / 0.04

P = $9500 * [1-(1/(1.04)^20)] / 0.04

P = $9500 * [1 - (1/2.191123143)] / 0.04

P = $9500 [1 - 0.45638695] / 0.04

P = $9500 * 0.5436131 / 0.04

P = $9500 * 13.590326

P = $129,108.1003

P = $129,108.10

So, the lump sum deposited today is $129,108.10.

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Suppose First National Bank holds ​$100 million in assets with an average duration of 3 ​years, and it holds ​$90 million in lia
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% change decrease is = 1.2 %

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percentage decrease in First National​ Bank's net worth relative to the total original asset value

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