The savings account offering which of these APRs and compounding periods

offers the best APY?


A. 4.0784% compounded monthly

B. 4.0792% compounded quarterly

C. 4.0730% compounded daily

D. 4.0798% compounded semiannually

Respuesta :

Answer:

The answer is "Option C"

Step-by-step explanation:

The using formula[tex]= (1+\frac{r}{n})^n -1[/tex]

→r = rate

→ n = compounded value

In choice a:

When compounded is monthly [tex]4.0784\%[/tex]  

[tex]n = 12[/tex]

[tex]\to (1+ \frac{0.040784}{12})^{12} = 1.0403-1 = 0.0403[/tex]

In choice b:

When compounded is quarterly[tex]4.0792\%[/tex]

[tex]n = 3\\\\\to (1+ \frac{0.040792}{12} )^{3} = 1.0102-1 = .0102[/tex]

In choice c:

Whenn compounded is daily [tex]4.0730 \%[/tex]

[tex]n = 365\\\\\to (1+ \frac{0.040730}{12})^{365} = 3.328-1 = 2.328[/tex]

In choice d:

When compounded is semiannually[tex]4.0798\%[/tex]

[tex]n = 2\\\\\to (1+ \frac{0.040798}{12})^{2} = 1.0066-1 = 0.0066[/tex]

Answer:

C. 4.0730% compounded daily

Step-by-step explanation: