passbook savings account has a rate of 7%. Find the effective annual yield, rounded to the nearest tenth of a percent, if the interest is compounded 1000 times per year.​

Respuesta :

Answer:

7.25%

Step-by-step explanation:

n=1000

Effective yield, y is given by

[tex]y=(1+\frac {r}{n})^{n}-1[/tex] where r is percentage rate expressed in decimal points, n is the duration

Substituting 1000 for n and 0.07 for r we obtain

[tex]y=(1+\frac {0.07}{1000})^{1000}-1[/tex]

y=0.0725055537

Therefore, yield is [tex]0.0725055537*100=7.25055537%\approx 7.25%[/tex]