> Continuous Compounding?

Continuous Compounding?

Posted at: 2014-12-05 
"...the amount of a continuous money flow .." < I have no idea what you mean by this so I'll tackle #2.

(If you're looking for the future value of $225 invested annually for 10 years at 6.5% continuously compounded interest, you can find the formula here:

http://www.financeformulas.net/Future-Va...

It's a little easier to understand the way they've written out the formula - can't duplicate it here.

2) FV = P(e^rt)

45,000 = P(e^0.08 * 10)

45,000 = P(e^0.80)

45,000 = P(2.22554)

45,000 / 2.22554 = P

P = $20,219.80

#2 - set up the formula, re-arrange it algebraically, and solve.

Answer 1 and/or 2!

1) Find the amount of a continuous money flow in which $225 per year is being invested at 6.5%, compounded continuously for 10 years.

2) At the time of the birth of a child, a parent wants to begin a college fund that will grow to $45000 by the child's 18th birthday. Interest is compounded continuously at 8%. What should the initial investment (P0) be?