# Sell price based on desired profit: X = sell price B = buy price A = amt invested in

#### aatika

##### New member
Hi I am wanting to find a formula/several formulas for determining the sell price for a stock given the following parameters

X = sell price
A = amt invested in $D = desired profit in$
S = Number of shares

I would like the formula to calculate variables X and S based on B, A and D. This will be a useful calculation for determing what I need to sell a stock at based on the known variables.

I want to write in a python program so if it can be broken down into multiple calculations that would be better.

1. What is the buy price? I.e. $2 2. How much do you want to invest?$500
3. How much profit in $do you want to make?$200

Your sell price for this amount is x

I can work it out based on percentages, but I prefer to use $amt variables. Cheers #### tkhunny ##### Moderator Staff member Hi I am wanting to find a formula/several formulas for determining the sell price for a stock given the following parameters X = sell price B = buy price A = amt invested in$
D = desired profit in $S = Number of shares I would like the formula to calculate variables X and S based on B, A and D. This will be a useful calculation for determing what I need to sell a stock at based on the known variables. I want to write in a python program so if it can be broken down into multiple calculations that would be better. Question/answer format would be such: 1. What is the buy price? I.e.$2
2. How much do you want to invest? $500 3. How much profit in$ do you want to make? $200 Your sell price for this amount is x I can work it out based on percentages, but I prefer to use$ amt variables.

Cheers
I'm not real clear on what it i you are trying to do. Can you provide one of those worked out examples?

#### JeffM

##### Elite Member
Hi I am wanting to find a formula/several formulas for determining the sell price for a stock given the following parameters

X = sell price
A = amt invested in $D = desired profit in$
S = Number of shares

I would like the formula to calculate variables X and S based on B, A and D. This will be a useful calculation for determing what I need to sell a stock at based on the known variables.

I want to write in a python program so if it can be broken down into multiple calculations that would be better.

1. What is the buy price? I.e. $2 2. How much do you want to invest?$500
3. How much profit in $do you want to make?$200

Your sell price for this amount is x

I can work it out based on percentages, but I prefer to use \$ amt variables.

Cheers
$$\displaystyle d = (x - b) * s.$$

$$\displaystyle a = bs.$$

$$\displaystyle \text { ASSUME } a > 0 < b.$$

Because a is an amount of money and b is a price, it is reasonable to assume that both are positive numbers.

$$\displaystyle a = bs \implies s = \dfrac{a}{b}.$$

$$\displaystyle d = (x - b)s \implies (x - b) * \dfrac{a}{b} = d \implies a(x - b) = bd \implies x - b = \dfrac{bd}{a} \implies$$

$$\displaystyle x = \dfrac{bd}{a} + b= b \left ( \dfrac{d}{a} + 1\right ) = b * \dfrac{a + d}{a}.$$

Is this what you want?

Last edited: