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13. Growing Annuity Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31,

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13. Growing Annuity Your job pays you only once a year for all the work you did over the previous 12 months. Today, December 31, you just received your salary of $72,500, and you plan to spend all of it. However, you want to start saving for retirement beginning next year. You have decided that one year from today you will begin depositing 5 percent of your annual salary in an account that will earn 9 percent per year. Your salary will increase at 3.7 percent per year throughout your career. How much money will you have on the date of your retirement 40 years from today? [Hint: Try to draw a timeline. 1)What will be your salary at year 1 if you just received your salary of $72,500 (at time t0)? 2) How much are you saving in year 1? 3) You may want to compute PV of annuity first using the growing annuity formula and then try to compute FV using lump sum formula.]

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