I'm having trouble finding a calculator that would figure this problem that I have below. I am generally referred to Compound Investing, which is not necessarily what this is. Instead of an Annual Rate, I need to have a Daily Rate of 1.5% added onto the total of each previous day's total, starting from say, $750.00. I need to know of any potential calculators/math equation that can solve this: 1. Original Investment, $750 2. 1.5% Profit per day needs to be made on the investment of the previous day's total. Example: 1. 750.00 + 11.25 = 761.25 2. 761.25 + 11.41 = 772.66 3. 772.66 + 11.58 = 784.24 4. 784.24 + 11.76 = 796.00 5. 796.00 + 11.94 = 807.94 6. 807.94 + 12.11 = 820.05 1.5% of the initial starting point needs to be made, which is considered $11.25, then the following day it's another 1.5% of the total earning made ($11.41 off of the $761.25), and it rises further and further, based off of my knowledge of the "A Penny a Day Doubled Every Day for 30 Days" concept (although in this case, it's not doubled, but the basis of it is similar, just in a 1.5% gain off each day). 3. Of the 1.5% gain made daily 10% of that goes into bank at 0% interest and another 10% goes into cash account. 4. Each day you add your gains to the original investment minus 20% (for bank and cash accounts) made in gains the previous day. How much would you have in each account after 1 year? Daily Trade Account (80) = ? Bank Account (10) = ? Cash Account (10) = ? I can do the problem myself slowly but surely, but I need to find a much quicker equation/calculator (preferred) that can simply do this for me up to a year. TLDR; I need to find a calculator or appropiate math equation that can figure out my 1.5% daily gains up to a year. Example: $750 + $11.25 (<-the 1.5% of 750) = 761.25 $761 + $11.41 = 772.66 What is the potential earnings I can make off of the initial $750 investment, with a 1.5% made each day, then 1.5% of the previous days earnings, and so on as shown in the example.
Since you didn't specify, I will assume that the cash account has 0% payoff; it's not realistic, but otherwise you'd need to keep track of what went in when, and what the payoff is, making it more complicated. Now let's first look at just the compound investment. That's 1.5% payoff per day (I'd love to see how you're getting that, by the way, as it means that after a year you've multiplied by a factor of over 200; better make sure you don't just have 1.5% annual rate compounded yearly.) 80% of that 1.5% goes back into the investment, so that's 1.2%. So we have a net amount at the end of day x equal to 1.012^x times your initial investment; a basic scientific calculator can do the math for you. Now to figure out how much went into your bank account and cash account (since they're both at 0%, it's the same for both.) Each day, the investment generates 0.15% of its current value for each, so you have the sum from 1 to x of (0.0015)(1.012^(x-1)) times your initial investment; by the usual rule for a geometric series, this adds up to (0.0015)(1.012^x-1)/(0.012) times your initial investment, or in other words your cash account and bank account each have one eighth of the gain (above initial investment) in your investment account.