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Calculations

Currency effects on stock returns: calculate price and exchange rate

When a share is priced in another currency, its value in Swedish kronor depends on both share price and exchange rate. A rise in the share's currency can therefore produce a different result in SEK. We use the fictional currency unit V and invented exchange rates. None of the figures are current market prices.

What you will learn

  • Convert holding value into SEK using a clearly defined exchange rate.
  • Separate the share-price change from the currency change.
  • Multiply change factors instead of simply adding percentages.

State how much one currency unit is worth in SEK

Our holding contains ten fictional shares priced at 100 V each. At the start, 1 V is worth SEK 10. The holding is worth 10 × 100 × 10 = SEK 10,000. The formula is share count × price in V × SEK per V.

The unit SEK per V matters. If another table states V per SEK, you cannot use it in the same way. Check the direction and time before calculating. All values in the starting table should refer to the same moment in the exercise.

The share rises, but its SEK value falls

At the end, the share costs 110 V, a 10 percent rise in V. Meanwhile 1 V is worth SEK 9, a 10 percent fall in SEK per V. The ten shares are worth 10 × 110 × 9 = SEK 9,900.

Compared with the starting SEK 10,000, that is −1 percent. Share price rose in V, but the currency move worked in the opposite direction. Investor.gov explains that exchange-rate changes can increase or reduce the return on an international investment.

If the table does not fit, scroll it sideways.

One fictional currency and the same ten shares
TimePrice per shareSEK per VHolding in SEK
Start100 V10SEK 10,000
End110 V9SEK 9,900

The changes multiply

The price-change factor is 110 ÷ 100 = 1.10. The currency factor is 9 ÷ 10 = 0.90. Together they give 1.10 × 0.90 = 0.99, or 99 percent of starting value. Simply adding +10 and −10 would give zero and miss the smaller calculation base.

You can isolate the parts in two alternative exercises. If only the share changes, value becomes SEK 11,000. If only the currency changes, it becomes SEK 9,000. When both change together, it becomes SEK 9,900. These scenarios show what each input means.

If the table does not fit, scroll it sideways.

Alternative endings from the same invented start
What changes?Ending value in SEKChange
Share price onlySEK 11,000+10 %
SEK per V onlySEK 9,000−10 %
Both togetherSEK 9,900−1 %

A converted value is a simplified model

We hold share count constant and leave out dividends, fees, tax and currency-conversion costs. A real transaction may use different rates for buying and selling. A company's operations may also be affected by currencies in ways this simple conversion does not show.

Record dates, currency, quotation direction and what the total includes when evaluating simulated practice. The connection to Investiq is interpreting data and reasoning about results. The lesson does not promise a particular conversion or currency hedge in the app, and does not suggest currency trading.

  • Record the price's currency.
  • State the SEK value of one currency unit.
  • Convert the start and end separately.
  • Compare the converted values using the same starting base.

Try it yourself

Five fictional shares initially cost 40 V each and later 44 V. The exchange rate is initially SEK 10 per V and later SEK 8 per V. How does holding value change in SEK?

Show the solution and explanation

From SEK 2,000 to SEK 1,760: −12 percent.

Start: 5 × 40 × 10 = 2,000. End: 5 × 44 × 8 = 1,760. The difference is −240; dividing by 2,000 gives −12 percent. The factors 1.10 × 0.80 give 0.88.

Check your understanding

Must a positive share-price change in V produce a gain in SEK?

No. Exchange rate also affects converted value. In the main example the result is −1 percent in SEK despite a 10 percent rise in V.

Why state SEK per V?

To show the conversion direction. Value in V is multiplied by SEK per V to give SEK.

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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