1. Beatrice invests $1,000 in an account that pays 5 percent simple interest. How much more could she have earned over a 10-year period if the interest had compounded annually? A. $135.42
B. $135.97
C. $121.67
D. $117.09
E. $128.89
2.
You are Mr. Matthew Stafford’s agent and are negotiating a five year contract. The Lion’s make four offers: (a) $15 million a year for the next 5 years. (b) one-time payment of $95 million five years from now. (c) one-time payment of $50 million today. (d) $13.50 million at the beginning of each year for the next five years. Which offer would you recommend that Mr. Stafford accept if the interest rate was 12.50%
| Offer (a) |
| Offer (b) |
| Offer (c) |
| Offer (d) |
| None of the above |
1)
| Total simple interest earned over 10 years | $ 500.00 | =1000*10*5% |
| Total compound interest earned over 10 years | $ 628.89 | =1000*(1+5%)^10-1000 |
| Difference (in favor of compounding) | $ 128.89 | |
| Hence, correct option is E. $128.89 |
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