Solving for a Constant Return to arrive at fixed end value

lobcity9

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Joined
Dec 19, 2012
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Hi I am working on putting together an excel formula that will allow me produce the correct constant return number which will allow me to reach a fixed end value.

I have a fixed spending stream & beginning value and want to figure out what constant return will get me to my prespecified end value.

Beginning Value: $100

Each year do $10 spending growing at 3% per year... so 10, 10.3, 10.609, etc.

I need a formula that will give me the constant return I need to have for the end value to equal $200 in year 20.

Year 0 = 100
Year 1 = Year 0 Value-(SpendingYear1-constant return*Year 0 Value)
Year 2 = Year 1 Value-(SpendingYear2-contstant return*Year 1 Value)
...
Year 20 = 200
 
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