I hope I have this addressed correctly, and second I hope you can assist.

here is the problem-

If rates are about to rise 1.84%, from the current 5.30% that they are currently at. What amount are they going to increase to?

I ask because many publications print an answer that is 7.14% but I don't see that as correct because the first line would have to say an increase of 184 basis points for that to be correct. My answer to this is about 5.4%. Am I thinking correctly?

secondly, if rates are about to move to 7.14% from 5.3% what percentage move is this?

I get an answer of about 35%. am I off on this or is everyone else that I ask not calculating correctly?

thank you,

Todd

 


Todd,

If rates are about to rise 1.84%, from the current 5.30% that they are currently at. What amount are they going to increase to?

I ask because many publications print an answer that is 7.14% but I don't see that as correct because the first line would have to say an increase of 184 basis points for that to be correct. My answer to this is about 5.4%. Am I thinking correctly?

Yes; an increase of 1.84 PERCENTAGE POINTS would bring the rate of 5.30% to 5.30 + 1.84% = 7.14%, while an increase of 1.84% would bring a rate of 5.30% to 5.30x1.0184 = 5.39752%.
Note that:

  1. Most people get it wrong; even the canadian prime minister talked
    about bringing down the federal sales tax by 1 persent, when he talked
    about bringing it down from the current 7% to 6%. This leads to much
    confusion, when we say that the unemployment rate of 8% dropped by
    2% since the beginning of the year, what do we mean?

  2. Most people don't even know how to start when it comes to doing the
    calculations you did above.

 

secondly, if rates are about to move to 7.14\% from 5.3\% what percentage move is this?

I get an answer of about 35\%. am I off on this or is everyone else that I ask not calculating correctly?

7.14 - 5.3 = 1.84, 1.84/5.3 = .347, so the decrease is about 35% of 5.3, and 1.84/7.14 = .257, so the decrease is about 26% of 7.14. So, should we call this a decrease of 26% or of 35%? As you can well imagine, this is another source of confusion when using percentages.

Claude