You wish to have $200,000 at the end of twenty years. In the last ﬁve years, you withdraw $1,000
annually at a rate of 3.8% compounded quarterly. During the middle ten years, you contribute $500
monthly at a rate of 2.8% compounded semi-annually. Given this information, determine the initial
deposit that has to be made at the start of the ﬁrst ﬁve years at a rate of 4% compounded monthly.

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The Answer of You wish to have $200,000 at the end of twenty years. In the last ﬁve years, you withdraw $1,000
annually at a rate of 3.8% compounded quarterly. During the middle ten years, you contribute $500
monthly at a rate of 2.8% compounded semi-annually. Given this information, determine the initial
deposit that has to be made at the start of the ﬁrst ﬁve years at a rate of 4% compounded monthly.

You Wish to Have $200,000 at the End of Twenty