How to use the RATE function in Excel ?

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Discussion Overview

The discussion revolves around calculating the annual interest rate for a series of quarterly deposits using the RATE function in Excel. Participants explore the application of a financial formula and the implications of their calculations, focusing on the parameters involved in the formula and the use of different tools for financial calculations.

Discussion Character

  • Technical explanation
  • Debate/contested
  • Mathematical reasoning

Main Points Raised

  • One participant presents a financial formula to determine the interest rate based on a quarterly deposit and accumulated value.
  • Another participant points out inconsistencies in the calculations, suggesting that the total deposits do not match the accumulated value, indicating a potential negative interest rate.
  • Concerns are raised about the correct interpretation of the number of periods and the need for consistency in adjusting interest rates from quarterly to annual rates.
  • A third participant shares results from a financial calculator, providing an alternative calculation for the interest rate, which suggests a positive rate, but later expresses confusion about the accumulation aspect of the problem.

Areas of Agreement / Disagreement

Participants express differing views on the calculations and interpretations of the financial formula. There is no consensus on the correct approach or the resulting interest rate, as some suggest a negative rate while others calculate a positive rate using different methods.

Contextual Notes

Participants highlight potential limitations in the calculations, including the need for consistent adjustments between quarterly and annual rates, as well as the implications of the accumulated value versus total deposits.

indigo2
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Hello :)

I was given this task:

A quarterly deposit is €700 in 4.5 years, and the accumulated value is €13,600. What is the value of annual interest rate?

And I would apply this formula:

S = [((1+i)n - 1) / i] ∙ R

€13,600 = [((1+i)18 - 1) / i] ∙ €700

To find out the annual interest rate I have to use the RATE function in excel but my solution is -1% for i.

View attachment 8198

What do I do wrong?

THANK YOU FOR ANY ADVICE :)
 

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indigo said:
Hello :)

I was given this task:

A quarterly deposit is €700 in 4.5 years, and the accumulated value is €13,600. What is the value of annual interest rate?

And I would apply this formula:

S = [((1+i)n - 1) / i] ∙ R

€13,600 = [((1+i)18 - 1) / i] ∙ €700

To find out the annual interest rate I have to use the RATE function in excel but my solution is -1% for i.
What do I do wrong?

THANK YOU FOR ANY ADVICE :)

You've some problems, here.

For starters, 4 * 4,5 * 700 = 12600 < 13600. That makes no sense. You SHOULD get a negative interest rate.

Next, "Number of Periods" probably should read "Number of Years". Very confusing.

Finally, you adjusted your years to periods by a factor of 4, why didn't you also adjust your interest rate from a quarterly rate to an annual rate? One must be consistent.

Generally, you can figure these things out using very small and specific data. Try one (1) period. Try one (1) year. Get a feel for it and give it another go.
 
Not familiar with Excel; but using a $7.99 financial calculator:
PMT = -730
FV = 13600
N = 18
i = ?
output:
i = .0089

That's the equivalent of 10.68% APR cpd. quarterly.
Right, TK?
 
Wilmer said:
Not familiar with Excel; but using a $7.99 financial calculator:
PMT = -730
FV = 13600
N = 18
i = ?
output:
i = .0089

That's the equivalent of 10.68% APR cpd. quarterly.
Right, TK?

Wait, we're accumulating? Missed that. Wilmer knows best.
 

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