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You plan to retire after 30 years. After that, you need $200,000 per year for 10 years (first withdrawal at t=31). At the end of

You plan to retire after 30 years. After that, you need $200,000 per year for 10 years (first withdrawal at t=31). At the end of these 10 years, you will enter a reitrement home where you will stay for the rest of your life. As soon as you enter the retirement home, you will need to make a single payment of $1,000,000. You want to start saving for your retirement in an account that pays you 9% p.a. Therefore, beginning from the end of the first year (t=1), you will make equal yearly deposits into this account for 30 years. You expect to receive $500,000 at t=30 from a cash value insurance policy that you own. This money will be deposited in your retirement account. What should your yearly deposits into the account be?

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