Compounding interest with varying transaction costs.

[NickAz]

Principal = $10 000
Interest rate = 1% daily.

Interest profit is accumulated daily into a separate profit pool and will not be compounded unless transferred into the investment account. There is a transaction cost to transfer the funds as follows :
<$100 = $32
<$200 = $53
<$500 = $67
<$1000 = $73
<$2000 = $88
<$4000 = $108
<$8000 = $118

At what intervals should I transfer from profit pool to investment account for maximum profit over 90 days.

 

[Deleted member 4993]

Principal = $10 000
Interest rate = 1% daily.

Interest profit is accumulated daily into a separate profit pool and will not be compounded unless transferred into the investment account. There is a transaction cost to transfer the funds as follows :
<$100 = $32
<$200 = $53
<$500 = $67
<$1000 = $73
<$2000 = $88
<$4000 = $108
<$8000 = $118

At what intervals should I transfer from profit pool to investment account for maximum profit over 90 days.

Please show us what you have tried and exactly where you are stuck.

Please follow the rules of posting in this forum, as enunciated at:

READ BEFORE POSTING​

Please share your work/thoughts about this problem.

 

[NickAz]

Principal = $10 000
Interest rate = 1% daily.

Interest profit is accumulated daily into a separate profit pool and will not be compounded unless transferred into the investment account. There is a transaction cost to transfer the funds as follows :
<$100 = $32
<$200 = $53
<$500 = $67
<$1000 = $73
<$2000 = $88
<$4000 = $108
<$8000 = $118

At what intervals should I transfer from profit pool to investment account for maximum profit over 90 days.

I have figured out the optimal intervals for a fixed cost transaction would be where the "Additional gained interest from withdrawal amount" = transaction cost. For instance, if the transaction cost is fixed at $32 and the interest rate is 1%, the optimum withdrawal amount would be 32/0.01 = $3200. I am unsure of how to put the transaction cost-gained interest ratio with multiple transaction costs.