Mr. Arman has decided to start saving for his retirement. Beginning on his twenty-sixth birthday, Arman plans to deposit Tk. 12,000 each birthday into a saving account earning 10% compound annual interest rate. He will continue this saving program for a total of 10 years and then stop payments. But his savings will continue to compound at 12% for 30 more years, until he retires at the age of 65. Mr. Jamal also plans to deposit Tk. 12,000 a year in a saving account on each birthday at 12%, and will do so for a total of 35 years. However, Jamal will not begin his contributions until his thirty-first birthday. How much will Mr. Arman’s and Mr. Jamal’s savings programs be worth at the retirement age of 65? Who will be better off financially at retirement, and by how much? (Assume annual compounding for each case).
Mr. Arman has decided to start saving for his retirement. Beginning on his twenty-sixth birthday, Arman plans to deposit Tk. 12,000 each birthday into a saving account earning 10%
then stop payments. But his savings will continue to compound at 12% for 30 more years, until he retires at the age of 65. Mr. Jamal also plans to deposit Tk. 12,000 a year in a saving account on each birthday at 12%, and will do so for a total of 35 years. However, Jamal will not begin his contributions until his thirty-first birthday. How much will Mr. Arman’s and Mr. Jamal’s savings programs be worth at the retirement age of 65? Who will be better off financially at retirement, and by how much? (Assume annual compounding for each case).
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