Why this is mistaken
Why it fails
The formula applies the entered rate once per entered period. A 6% annual quote paired with 36 monthly periods applies 6% thirty-six times. Under the declared nominal convention, the correct pair is 0.5% per month and 36 months.
Corrective approach
Write units beside both inputs: 0.005/month and 36 months. Do not cancel or
ignore the units. For another quoted-rate convention, consult its governing
definition rather than dividing automatically.
Where to watch
When this mistake may appear
- A problem states an annual quote, monthly compounding, and a multiyear horizon.
- A calculator asks separately for rate and number of periods.
Check your work
Your work may contain this mistake if:
- Uses 0.06 as the monthly rate for a 6% stated annual quote.
- Uses three periods for a three-year monthly schedule.