How to calculate a simple rate of return

  • Context: High School 
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Discussion Overview

The discussion revolves around calculating the simple rate of return on investments, specifically examining examples from a book that presents different investment scenarios. Participants are trying to understand how the rate of return is derived, particularly in relation to annual returns and salvage values.

Discussion Character

  • Exploratory, Technical explanation, Debate/contested

Main Points Raised

  • One participant expresses confusion over a claim in a book that states an investment of $1000 returning $150 per year for 5 years results in a 15% rate of return, questioning the calculation method.
  • Another participant clarifies that the 15% refers to an annual rate rather than an overall rate.
  • A participant notes that a subsequent example of investing $2000 for 6 years with a return of $150 per year and a salvage value of $2700 shows a rate of return of 11.8%, which complicates their understanding of the initial logic.
  • One participant suggests that while the annual return might be 7.5%, the increase in value from $2000 to $2700 over 6 years could represent an additional return of about 5% per year.

Areas of Agreement / Disagreement

Participants do not reach a consensus on the calculations or interpretations of the rate of return, with multiple competing views and ongoing confusion regarding the impact of salvage value and the distinction between annual and overall rates.

Contextual Notes

Participants express uncertainty about how to incorporate salvage value into their calculations and how different examples yield varying rates of return, indicating potential limitations in the examples provided.

bobbo7410
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I'm reading an example in the book, and I simply can't wrap my mind around it...

It's claiming you invest $1000 and get back $150 per year for 5 years. At the end of 5 years the salvage value is $1000 (if that matters).

It claims the Rate of Return is 15%, yet for the life of me I can't figure out where they got that 15%...
 
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They mean 15% a year, not overall.
 
JonF said:
They mean 15% a year, not overall.

I thought that originally... yet the next one shows investing $2000, and $150 year for 6 years (salvage value of 2700). The rate of return is shown at 11.8%, which throws off my initial logic... hence my confusion.

I'm not sure how to implement the salvage value, etc.
 
bobbo7410 said:
I thought that originally... yet the next one shows investing $2000, and $150 year for 6 years (salvage value of 2700). The rate of return is shown at 11.8%, which throws off my initial logic... hence my confusion.

You get 7.5% per year, but you also turn $2000 into $2700 over 6 years, which is itself something like a 5% yearly return.
 

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