SOLUTION: Use the following​ formula, where P is the present value of A dollars t years from​ now, earning annual interest r compounded n times per year. P=A(1+r/n)^-nt Find the presen

Algebra ->  Equations -> SOLUTION: Use the following​ formula, where P is the present value of A dollars t years from​ now, earning annual interest r compounded n times per year. P=A(1+r/n)^-nt Find the presen      Log On


   



Question 1193551: Use the following​ formula, where P is the present value of A dollars t years from​ now, earning annual interest r compounded n times per year.
P=A(1+r/n)^-nt
Find the present value of ​$400,000 20 years from​ now, if interest is compounded semiannually at ​11.4%.
The present value is approximately ​$___
​(Round to the nearest hundred as​ needed.)
thank you for your generosity!!

Found 2 solutions by Boreal, ikleyn:
Answer by Boreal(15235) About Me  (Show Source):
You can put this solution on YOUR website!
P=400000*(1+(0.114/2)^40, the 40 is 2 times compounded per year for 20 years
Round at the end. $3,673,300
rough check: should double in about 6 years (slightly longer) due to the rule of 70. That is 3 doublings in 18 years, and the final amount is a little more than 9 times the original, which makes sense.

Answer by ikleyn(52777) About Me  (Show Source):
You can put this solution on YOUR website!
.

What tutor @Boreal calculated for you in his post, is not a present value of $400,000.


He calculated  FUTURE  VALUE  of  $400,000   20  years from now.