Question $16$

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Beth Hardi will retire in $23$ years time at the age of $65.$ Beth has just calculated her annual retirement income target as being $$65,000$ and her annual retirement income as being $$43597.$ How much would Beth have to save each year until she retires in order to achieve her desired level of retirement income for $20$ years after she retires $($i$.$e$.$ until she is $85)?$ Assume a $1\mathrm{.}5$ percent real rate of return. $($Please enter your answer to the nearest dollar and exclude using $"$$$"$ or $",$ symbols etc.$)$

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