Question #261757

Jane plans to retire in 30 years and would like to have $500,000 in her account. If the interest on her account is 3.92% compounded monthly, how much should she put into her account every month?

a. $1,633.33 b. $1,388.89 c. $730.74 d. $653.33


1
Expert's answer
2021-11-08T12:04:29-0500

A=P[(1+rn)nt1]rnA=\frac{P[(1+\frac{r}{n})^{nt}-1]}{\frac{r}{n}}

A== $ 500,000


r== 3.921200\frac{3.92}{1200} Compounded monthly


n== 12


t== 30 years


P=?=?


$500,000=P[(1+3.921200)12×301]3.921200\$500,000=\frac{P[(1+\frac{3.92}{1200})^{12×30}-1]}{\frac{3.92}{1200}}


$500,000=684.24P\$500,000=684.24P


P=$730.74P=\$730.74


\therefore Jane should put $\$ 730.74 into her account every month



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