Question

In: Finance

Shaylea, age​ 22, just started working​ full-time and plans to deposit $5,800 annually into an IRA...

Shaylea, age​ 22, just started working​ full-time and plans to deposit $5,800 annually into an IRA earning 10 percent interest compounded annually. How much would she have in 20 ​years, 30​years, and 40 years? If she changed her investment period and instead invested $483.33 ​monthly, and the investment also changed to monthly​ compounding, how much would she have after the same three time​ periods? Comment on the differences over time.

With monthly investments and monthly compounding​ interest, after 20 ​years, Shaylea would have​ $?

With monthly investments and monthly compounding​ interest, after 30 ​years, Shaylea would have​ $?

With monthly investments and monthly compounding​ interest, after 40 ​years, Shaylea would have​ $?

Solutions

Expert Solution

From all abve Future Vaues, it is clear that MORE THE TIME, MORE THE FUTURE VALUE. It is because of the COMPOUNDING EFFECT. As more and more time passes, INTEREST KEEPS ON EARNING ON THE PREVIOUSLY EARNED INTEREST ALSO. Therefore, it will lead to SIGNIFICANTLY HIGHER FUTRE VALUE as more and more time passes and more and more compounding happens.


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