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Suppose that you have $5,000 to invest. Which investment yields the greater return over 5 years: 5.5% compounded monthly or 5.25% compounded continuously? Use the following formulas A=P(1+r/n)^nt and A=Pe^rt to solve.

 Apr 16, 2015

Best Answer 

 #1
avatar+130516 
+5

The amount (as long as it's the same in both situations) is irrelevant

Under the first scenario, we have   (1 + .055/12)^(12* 5)  = 1.3157037725362119

Under the second scenario, we have e^(.0525 * 5)  = 1.300176468168491

 

The first option is better......

 

  

 Apr 16, 2015
 #1
avatar+130516 
+5
Best Answer

The amount (as long as it's the same in both situations) is irrelevant

Under the first scenario, we have   (1 + .055/12)^(12* 5)  = 1.3157037725362119

Under the second scenario, we have e^(.0525 * 5)  = 1.300176468168491

 

The first option is better......

 

  

CPhill Apr 16, 2015

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