Interest based investment strategy

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An investment that averages a certain percentage over time is not necessarily equivalent to a fixed return of the same percentage, as the context of deposits and market volatility plays a crucial role. The average return can yield the same result as a constant return only under specific conditions, such as no additional deposits being made. When considering investments with variable returns, factors like dollar-cost averaging can influence overall performance positively. The discussion emphasizes the importance of understanding the distinction between average and fixed returns, particularly in relation to compounding effects. Overall, the relationship between average and fixed returns is complex and context-dependent.
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Okay, I'm wondering if an investment that averages x% over the term of an investent and an investment with a fixed return of x% over the term of an investment are equivalent...I'm not really sure at all, and itas advised i can both explain and somehow graph this.

Can anyone investigate my above proposition to see if it is warrented? If not, could you give any and all reasons why?

I know that i have to consider simple fo compound sperately...but...yeah. I would love a coupel fo different people's responses, haha...i would love any response really. It would be a huge help.


Thanks.
 
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That's pretty much the definition of "average"- the single value that gives exactly the same result as a variable. Yes, the average value of x% must give exactly the same result as a constant value of x% in order to be called the "average".
 
That depends on a lot of things. If you never make deposits, and the average is a sensible one, then it's all the same, as HallsofIvy said. If you're adding money, volatility is generally good -- assuming you're dollar-cost averaging.
 
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