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Suppose you are doing some investment planning. Your goal is to have enough money when you retire...

Suppose you are doing some investment planning. Your goal is to have enough money when you retire so that you can take out $50,000 per year for 30 years. You are planning on building up this money by making monthly deposits to an investment account over the next 40 years. To achieve the retirement income you want, you will need to have accumulated an investment account whose value is sufficient to generate the desired payments. If you expect that while you are retired your account will earn 5%, how big does that investment account need to be when you retire for it to generate the payments that you want? Show your work.

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