*WORK SHOWN*
P=630 I=3.05%/12=0.002541667 N=12 T=6 What am I doing wrong ?
Madeline and Jonathan want to purchase a home in five years. They will contribute $630 every six months to a savings account with 3.05% interest, compounded monthly. What is the future value of this investment, when Madeline and Jonathan need to make a down payment? $1,494.40 $6,796.45 $6,813.72 $40,778.67 My Work : http://www.wolframalpha.com/input/?i=FVOA%3D630*%28%281%2B0.002541667%29%5E%2812*6%29-1%29%29%2F%280.002541667%29
Since interest is compounded monthly, but savings are only made semi annually, something has to give. The formula for the Future Value of an Annuity of $630, with 10 semi annual payments, requires a semi annual interest rate, not a monthly rate. An annual rate of 3.05%, compounded monthly, results in an EAR of 3.093%; a semi annual EAR of 1.5347%. The FV of an Annuity of 630, N 10, R 1.5347%, is 6,753.38.
The closest answer to that is $6,796.45
Thats yahooo -.-
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