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Please provide a detailed explanation for the problem: How much do you have to save today to withdraw a $100 at the end of this

Please provide a detailed explanation for the problem:

How much do you have to save today to withdraw a $100 at the end of this year, 102.5 next year, 105.6 the year after and so on for the next 19 years if you can earn 5% per annum? I know the answer is 1529.69 but I don't know how my professor arrived at that answer. Thanks for your help.

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