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Calculations

Fees and investment returns: account for the whole purchase and sale

An unchanged share price does not always mean an unchanged result for someone buying and selling. Fees can reduce the money left over. This lesson uses two entirely invented fixed purchase and sale fees to follow the full payment. They are not prices charged by a real bank or broker.

What you will learn

  • Add the purchase fee to the initial payment and subtract the sale fee from the final proceeds.
  • Use the entire initial payment as the percentage-result base in this model.
  • Calculate the sale price that covers both fees.

Write down what is paid and what comes back

You buy 100 fictional shares at SEK 50 each. The shares cost SEK 5,000. Model L has a purchase fee of SEK 25, making the full payment SEK 5,025. Selling at the same share price returns SEK 5,000 before the sale fee. After another SEK 25 fee, you receive SEK 4,975.

The result is 4,975 − 5,025 = −50 kronor. In this particular model we calculate the return on the entire amount paid: −50 ÷ 5,025 × 100 ≈ −1.00%. State the base clearly. Dividing by the shares’ price amount of 5,000 would use a different starting measure.

The same shares can return different amounts of money

In model H each fee is SEK 75 instead. You pay SEK 5,075 at purchase and receive SEK 4,925 after the sale. The loss is SEK 150, about −2.96% of the full initial payment. The share count and price are identical in both comparisons; the fees differ.

The table is a limited comparison, rather than two complete services. Actual costs may depend on the transaction amount, market and other conditions. Investor.gov describes both transaction fees and ongoing fees. Our model contains only two fixed payments, with no tax, dividends, currency changes or ongoing charge.

If the table does not fit, scroll it sideways.

Invented fees with the same unchanged share price
MeasureModel LModel H
Purchase feeSEK 25SEK 75
Sale feeSEK 25SEK 75
Full initial paymentSEK 5,025SEK 5,075
Proceeds after sale feeSEK 4,975SEK 4,925
Result−SEK 50−SEK 150
Return on initial paymentAbout −1.00%About −2.96%

Which price covers both fees?

To recover the whole payment in model L, the sale amount before the fee must be 5,025 + 25 = SEK 5,050. Dividing by 100 shares gives SEK 50.50 per share. Check backwards: 100 × 50.50 − 25 = 5,025. Only then is the result zero in our model.

The share price therefore needs to rise from 50 to 50.50, an increase of 1%, to cover the invented fees. That price increase is not a profit after costs. This break-even calculation also says nothing about whether the market price will actually reach that level.

Avoid subtracting the same cost twice

If stated final proceeds are already after the sale fee, do not subtract the fee again. Start with a short payment list: the shares’ price amount, purchase fee, sale amount and sale fee. Mark which amounts are already net of a cost.

In a learning activity you can change one cost at a time and check its effect on the result. That makes the model easier to review. This lesson does not describe fee settings in Investiq or compare real brokers. Read the product guide to see what the simulated experience actually covers.

Try it yourself

You buy 20 fictional shares at SEK 200 each with a SEK 20 purchase fee. The sale fee is also SEK 20. How much comes back at an unchanged share price, and which price per share covers the entire initial payment?

Show the solution and explanation

SEK 3,980 comes back. The price must be SEK 202 per share for the result to be zero.

The initial payment is 4,000 + 20 = SEK 4,020. At the same price the net proceeds are 4,000 − 20 = SEK 3,980. Breaking even requires 4,020 + 20 = SEK 4,040 before the sale fee; 4,040 ÷ 20 = SEK 202 per share.

Check your understanding

Is the result zero when the share price is unchanged in this model?

No. Purchase and sale fees reduce the money left over even when the share price stays the same.

Should you deduct the sale fee again from proceeds already net of that fee?

No. That would count the same cost twice. Write down what the stated amount already includes.

Practise with virtual money

Try what you just learned in a practice portfolio with virtual money. You don't deposit any real money.

How the practice portfolio works

More lessons on this topic

Sources and examples

The sources support the factual explanations. Calculations and exercises were created for this lesson. Amounts and price changes are invented unless stated otherwise.

This material is educational and does not recommend securities to buy. A simulated result does not guarantee a future result.

Practice now. Invest later.

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