SOLUTION: How much must you invest today in order to have $50,000 in 20 years, if your savings account pays 3% interest compounded daily?

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Question 596055: How much must you invest today in order to have $50,000 in 20 years, if your savings account pays 3% interest compounded daily?

Found 2 solutions by stanbon, jim_thompson5910:
Answer by stanbon(75887) About Me  (Show Source):
You can put this solution on YOUR website!
How much must you invest today in order to have $50,000 in 20 years, if your savings account pays 3% interest compounded daily?
-------
A(t) = P(1+(r/n))^(nt)
50,000 = P(1+(0.03/365))^(365*20)
------
50,000 = P(1.000082192)^(7300)
----
P = 50,000/(1.822074)
----
P = $27,441.26
==================
Cheers,
Stan H.

Answer by jim_thompson5910(35256) About Me  (Show Source):
You can put this solution on YOUR website!
A+=+P%281+%2B+r%2Fn%29%5E%28nt%29

50000+=+P%281+%2B+0.03%2F365%29%5E%28365%2A20%29

50000+=+P%281+%2B+0.00008219178082%29%5E%28365%2A20%29

50000+=+P%281+%2B+0.00008219178082%29%5E%287300%29

50000+=+P%281.00008219178082%29%5E%287300%29

50000+=+P%281.82207387445081%29

50000%2F1.82207387445081+=+P

27441.2583930334+=+P

P+=+27441.2583930334

So you'll need to invest $27,441.26