Forecast revenue using a price-volume build: ASP starts at $100 and increases by $10 each year; units start at 100,000 and decrease by 5,000 each year. After two years, how much has revenue changed?

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Multiple Choice

Forecast revenue using a price-volume build: ASP starts at $100 and increases by $10 each year; units start at 100,000 and decrease by 5,000 each year. After two years, how much has revenue changed?

Explanation:
Revenue comes from price per unit times units sold, and here both change each year in opposite directions. Start with the baseline: 100 dollars per unit times 100,000 units equals 10,000,000. In the first year, the price rises to 110 and units fall to 95,000, so revenue is 110 times 95,000 = 10,450,000. That’s an increase of 450,000 from the baseline. In the second year, the price rises to 120 and units fall to 90,000, so revenue is 120 times 90,000 = 10,800,000. That’s an increase of 800,000 from the baseline. Thus, after two years the revenue has increased by 800,000 relative to the starting point. The other figures would require adding year-over-year increases or misinterpreting the baseline; the net change is determined by the difference from the initial revenue, which is 800,000.

Revenue comes from price per unit times units sold, and here both change each year in opposite directions. Start with the baseline: 100 dollars per unit times 100,000 units equals 10,000,000.

In the first year, the price rises to 110 and units fall to 95,000, so revenue is 110 times 95,000 = 10,450,000. That’s an increase of 450,000 from the baseline.

In the second year, the price rises to 120 and units fall to 90,000, so revenue is 120 times 90,000 = 10,800,000. That’s an increase of 800,000 from the baseline.

Thus, after two years the revenue has increased by 800,000 relative to the starting point.

The other figures would require adding year-over-year increases or misinterpreting the baseline; the net change is determined by the difference from the initial revenue, which is 800,000.

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