Answer: No, She is not correct.
Step-by-step explanation:
Let P is the principle amount of the money.
Then, the compound interest amount after 1 year with the compound quarterly rate of 6% is,
[tex]A = P( 1+6/100)^4[/tex] ( By the formula, [tex]A = P( 1+\frac{r/n}{100})^{nt}[/tex])
⇒ [tex]A = 1.26247696 P[/tex]
And, the compound interest amount after 1 year with the compound monthly rate of 1.25% is,
[tex]A = P( 1+1.25/100)^{12}[/tex]
[tex]A = 1.16075451772 P[/tex]
Therefore, By both interests rate we are getting different amounts.
Thus, there is a mistake in her calculation.