im trying to figure out an accurate formula for investing. if i invest say $1000, and make an average of 3% per week on it. what will be the end result in 2 years?

Question

if i invest say $1000, and make an average of 3% per week on it. what will be the end result in 2 years? when i first looked up this answer, i looked at a compound interest calculator it came up with compounding weekly to be only about $1120 and did what i thought would be correct as 1000x1.03^104 (investment x percent raised by weeks) and it came out to be $21,600 basically. would this be correct? or are both wrong. i thought of it as "if i swing trade and make just 3% every week and use the full amount each time"

Answer 1

This is not as easy as you Think. If you make EXACTLY 3% Per Week and you start wtith $10,000 you will be worth $216,307.40

If half the time you make 10% and half the time you lose 4 %, on average you make 3 % however your ability to compound is compromised by variance and your 10k in capital will be worth 170,029.29.

A good formula would be Future Value = Present Value*(1 + average return - (1/2) Variance of returns)