Present Value

Present value is what a future amount of money is worth in today's terms, discounted at your required rate of return. It runs every lump-sum-versus-instalment decision and every mortgage comparison - it just wears a nerdy name.

FoundationsLast reviewed 2026-10-02

What it is

Present value discounts a future amount back to today at a rate that reflects what the money could earn elsewhere. The formula is PV = FV / (1 + r)^t, where FV is the future amount, r is the discount rate and t is the years of waiting. It is compounding run in reverse: instead of asking what $10,000 becomes, it asks what a future $10,000 is worth now. The discount rate is the opportunity cost of money - usually the mortgage rate or the return your investments would have earned.

In Australia the concept hides in decisions that never use the name. The Age Pension means test deems income on financial assets at set rates, which is present value arithmetic applied by Services Australia. Super fund projections, redundancy offers paid in instalments, and court settlements all trade on the difference between a nominal future figure and its discounted worth. A $25,000 payment promised in five years is not $25,000 today - at a 6 percent discount rate it is worth roughly $18,700. The name is academic; the arithmetic is everywhere.

Key takeaways

Present value discounts a future amount back to today at your required rate of return.
The formula is PV = FV / (1 + r)^t - compounding run in reverse.
The discount rate is the opportunity cost: what the money could earn elsewhere instead.
A higher discount rate shrinks the present value; a longer wait shrinks it faster.
Every lump-sum-versus-instalment offer is a present value comparison, whether or not anyone names it.

How it works

The single-sum formula is PV = FV / (1 + r)^t. A $100,000 payment due in ten years discounted at 6 percent is worth $100,000 divided by 1.79 - roughly $55,800 today. The same $100,000 discounted at 3 percent is worth roughly $74,400, and at 9 percent it is worth roughly $42,200. The discount rate does more work than the waiting period, which is why choosing it honestly matters more than the arithmetic.

Instalment streams use the annuity version: each payment is discounted separately and the results are added. A $10,000 annual payment for ten years at 6 percent has a present value of roughly $73,600 - not $100,000. At 3 percent the same stream is worth roughly $85,300, and at 9 percent it is worth roughly $64,200. The present value calculator and the PV annuity calculator run both versions on any numbers.

The discount rate choice is where the honesty lives. Discount at the HISA rate when the real alternative is the mortgage rate and the present value flatters the future payment. A worker comparing a $20,000 redundancy today against $25,000 in five years should discount at their actual alternative - at 6 percent, the $25,000 is worth roughly $18,700, and the cash today wins before the paperwork starts. The formula never lies; the discount rate can.

Why it matters

The concept touches Australian readers in places that never announce themselves. Redundancy packages offered as instalments, court settlements, prize payouts and super pension projections all trade a future figure against its discounted worth. The Age Pension means test applies deeming rates to financial assets, which is a regulator-chosen discount rate applied to your account balances. Anyone comparing a lump sum against a stream of payments is running the arithmetic, whether they know the name or not. The present value calculator prices any future payment against the rate you actually face.

A colleague named Brent (yes, that Brent) chose a $25,000 payment in five years over $20,000 today because it was 'more money'. At a 6 percent discount rate the deferred payment was worth roughly $18,700 - less than the cash on the table, before inflation was even considered. The deferred figure was bigger and worth less. The highest-leverage thing most Australians can do is discount every future payment at their actual alternative rate - the mortgage rate, not the savings rate - before signing anything.

Real-world examples

$100,000 due in ten years at three discount rates

Discounted at 3 percent the payment is worth roughly $74,400 today; at 6 percent it is worth roughly $55,800; at 9 percent it is worth roughly $42,200. The waiting period is identical in all three cases - the discount rate did all the work. Someone with a 6 percent mortgage should use 6 percent, because that is the return the money would otherwise earn. Discount at the HISA rate instead and the future payment looks better than it actually is.

$20,000 today versus $25,000 in five years

Discount the $25,000 at 6 percent - the mortgage-rate alternative - and it is worth roughly $18,700 today. Against $20,000 of cash, the deferred option loses before inflation is counted. Discount at 3 percent instead and the deferred payment is worth roughly $21,600, which flips the answer entirely. The discount rate is the entire decision, which is why the rate must reflect what the money could actually earn rather than what looks conservative.

A $10,000-a-year payment for ten years

Each payment is discounted separately and summed: at 6 percent the stream is worth roughly $73,600, not the $100,000 nominal total. At 3 percent the same stream is worth roughly $85,300, and at 9 percent it is worth roughly $64,200. A redundancy structured as instalments over a decade is therefore worth tens of thousands less than the advertised figure at realistic discount rates. The PV annuity calculator prices the stream against any rate and term you feed it.

Common mistakes

Mistake: Discounting at the savings-account rate when the real alternative is the mortgage rate.

Why it bites you: The low rate flatters the future payment and can flip a lump-sum decision. A $25,000 deferral at 3 percent looks acceptable; at the 6 percent mortgage rate it loses to $20,000 of cash.

Mistake: Comparing future amounts to today's money without discounting.

Why it bites you: A nominal $25,000 in five years is worth roughly $18,700 at a 6 percent discount rate. Brent chose the bigger number and received the smaller one in present-value terms.

Mistake: Ignoring inflation inside the discount rate.

Why it bites you: A discount rate that does not cover inflation overstates what the future money buys. The discount rate should reflect the opportunity cost; the inflation adjustment should be separate and explicit.

Mistake: Totalling instalments at face value.

Why it bites you: A $10,000-a-year stream over ten years is $73,600 in present value at 6 percent, not $100,000. The advertised total is not the value of the offer.

Ivy's take

I spent an evening discounting every future payment anyone had ever offered me - the redundancy instalments, the insurance payout options, the prize that was not a scam - so you don't have to. Every deferred offer lost at the mortgage rate, which is the discount rate that reflects what the money would actually earn. The advertised totals were all correct and all misleading, which is the standard condition for a nominal figure.

Brent took the bigger deferred number twice in one decade. The formula is one division and the discipline is one question: what could this money earn if I had it now? Discount at that rate and the offers sort themselves. The name is nerdy; the arithmetic decides settlements, pensions and every instalment offer in between.

Related jargon, defined

Future value: What today's money becomes at a given rate over a given time.
Discount rate: The return used to value future money in today's terms.
Annuity: A stream of equal payments over a set period.
Opportunity cost: The return the next best alternative would have earned.
Compounding period: How often returns are calculated and added back.
Deeming rates: The rates Services Australia assumes financial assets earn in the pension means test.

Frequently asked questions

What discount rate should I use?+

The return your money would actually earn in the alternative use - usually the mortgage rate for homeowners. Using a low savings rate flatters the future payment.

Is present value the opposite of future value?+

Yes - future value compounds today's money forward, and present value discounts future money back. The two formulas are algebraic inverses of each other.

How does the RBA cash rate change present values?+

Lower rates shrink the discount rate and raise present values across the board. That is why long-dated assets and pensions look more valuable when rates fall.

Why does a lump sum usually beat instalments?+

Because the instalments are worth their discounted sum, not their total, and the discount compounds against each waiting year. Only a discount rate near zero makes the totals comparable.

Does present value apply to my super?+

Yes - pension projections, transition decisions and settlement-style offers inside super all trade on discounted values. The fund's projection tool applies assumptions; the discount rate behind them is worth checking.

Disclaimer: This information is general in nature and does not constitute financial or legal advice. Always consult a qualified professional for your specific situation.

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