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FORMULA SHELF 12 of 370

The arithmetic behind the work: what to measure, what to type in, and what the answer comes out as. Every formula says what the symbols mean and gives a worked example, so you can check it against a job you have already done.

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Finance 12 formulas

Break-even quantity
Q = fixed costs / (price - variable cost per unit)
SYMBOLS · Contribution = price - variable cost
UNITS · units
HOW TO USE

How many pens, bales, litres or hours you must sell before covering fixed costs.

EXAMPLE

Fixed 900, price 12, variable 7: break-even 180 units.

break-even units finance
Declining-balance depreciation
Book value = cost x (1 - rate)n
SYMBOLS · rate = annual depreciation rate
UNITS · money
HOW TO USE

A more realistic fall in value for vehicles and electronics that lose value fastest early.

EXAMPLE

20000 at 20% for 3 years = 10240 book value.

depreciation asset finance
Effective annual rate
EAR = (1 + r/n)n - 1
SYMBOLS · r = nominal rate; n = compounds per year
UNITS · %
HOW TO USE

Comparing loans or savings with different compounding periods on a like-for-like basis.

EXAMPLE

12% monthly compounds to 12.68% effective.

QUICK CALCULATOR EAR = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

finance interest rate
Future value
FV = PV x (1 + r)n
SYMBOLS · PV = present value; r = rate per period; n = periods
UNITS · money
HOW TO USE

What a sum grows to with compound interest, or what a herd or woodlot will be worth.

EXAMPLE

1000 at 7% for 10 years = 1967.

QUICK CALCULATOR FV = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

finance compound future-value
Future value of an annuity
FV = PMT x ((1 + r)n - 1) / r
SYMBOLS · PMT = regular payment
UNITS · money
HOW TO USE

What regular savings or reinvested profits accumulate to over time.

EXAMPLE

100 a month at 0.5% for 60 months = 6977.

QUICK CALCULATOR FV = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

annuity savings finance
Inflation adjustment
real = nominal / (1 + inflation)n
SYMBOLS · n = years
UNITS · money
HOW TO USE

Comparing costs or savings across years after inflation. A higher nominal figure may buy less.

EXAMPLE

1000 in 5 years at 3% inflation is worth 863 today.

inflation real-value finance
Loan payment
PMT = P x r / (1 - (1 + r)-n)
SYMBOLS · P = principal; r = rate per period; n = payments
UNITS · money
HOW TO USE

The fixed payment that clears a loan over a set number of periods.

EXAMPLE

10000 at 6% over 5 years is about 193 per month.

QUICK CALCULATOR PMT = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

loan payment finance
Markup and margin
margin = profit / selling price; markup = profit / cost
SYMBOLS · Keep the two separate
UNITS · %
HOW TO USE

Pricing produce, meat, feed and workshop work without confusing margin with markup.

EXAMPLE

Cost 8, sell 10: markup 25%, margin 20%.

pricing margin markup
Net present value
NPV = sum of cash flow / (1 + r)t - initial cost
SYMBOLS · r = discount rate; t = year
UNITS · money
HOW TO USE

Whether a project is worth doing after allowing for the time value of money. Positive is good.

EXAMPLE

A 5000 investment returning 6000 next year at 8% has NPV 555.

npv investment finance
Payback period
Payback = initial cost / annual net cash flow
SYMBOLS · Use the same time unit
UNITS · years
HOW TO USE

How long before a machine, shed or solar array pays for itself. Ignore interest for a quick check.

EXAMPLE

A 6000 machine saving 1500 a year pays back in 4 years.

payback investment finance
Present value
PV = FV / (1 + r)n
SYMBOLS · FV = future value; r = discount rate; n = periods
UNITS · money
HOW TO USE

What a future payment or saving is worth today. Use it to compare investments.

EXAMPLE

1967 in 10 years at 7% is worth 1000 today.

QUICK CALCULATOR PV = result
Enter values above.

Convenience only. Double-check the result against the worked example or a second method before you use it.

finance discount present-value
Straight-line depreciation
Depreciation = (cost - salvage value) / useful life
SYMBOLS · Salvage = resale value
UNITS · money per year
HOW TO USE

Spreading the cost of a machine evenly over its working life.

EXAMPLE

20000 cost, 4000 salvage, 8 years = 2000 a year.

depreciation asset finance
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This page is an AI-organised index. The label means the grouping and cross-links were compiled with AI; the information itself comes from the public-domain books, reports and manuals listed below. Open any source to read the local copy or follow the link to the original publication.

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Formulas collected and indexed with AI. The calculators are convenience tools; double-check every result before using it.