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Exponential Growth Compund Interest?


Two students are saving money for a graduation trip to Asia in 3 yrs time. George has just sold his car for $4200 and has invested his money in a bond at an interest rate of 5.4% per year, compounded monthly. At the same time, John has invested his job savings of $3800 in aGIC at an interest rate of 6.8% per year, compounded quarterly. If these investements are left in place, after how many yrs will the 2 investments be approximatley equal in value??

OK

4200 * (1+(.054/12))^12t = 3800 *(1+(.068/4))^4t

4200* (1.0045)^12t = 3800*(1.017)^4t

After 7.5 years the following would be the result

4200(1.4979) =6,291. 3800*(1.658)=6,301

Hope that helps.

7.38 years = 7 years 4.56months=7 years 6 months because you cannot redeem in between quarters

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