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 October 7th, 2015, 08:39 AM #1 Newbie   Joined: Oct 2015 From: canada Posts: 9 Thanks: 0 Financial math question Hey guys, sorry if this is in the wrong thread, first post here, I have a question I am stuck on and would love some help on. If you were to invest $12000 today, how much will you have in 25 years at 10 percent ( compounded semi annually ) I know for when its not semi annually it would be 12000 * (1.1)^25 = 130 020 and the answer to the original question is 12000 * 11.467 =137604 (5%, 50 periods) Just not too sure how that answer was found. thanks in advanced!  October 7th, 2015, 08:52 AM #2 Math Team Joined: Jul 2011 From: Texas Posts: 2,816 Thanks: 1460$P = P_0\left(1 + \dfrac{r}{n}\right)^{nt}$where$P_0$= initial investment$r$= APR as a decimal$n$= number of compounding periods per year$t$= number of years for your problem ...$P = 12000\left(1 + \dfrac{0.10}{2}\right)^{50}P \approx 137609\$
 October 7th, 2015, 09:45 AM #3 Math Team   Joined: Jan 2015 From: Alabama Posts: 3,261 Thanks: 896 Essentially, you can use your initial formula but use "half a year" instead of a year. The interest is 10% per year so 5% in a half year. There are 25 years but 50 half years.

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