Present Value Calculator (VND)
Suppose a contract or counterparty promises you 1 billion VND in 10 years. Is that promise worth a full billion to you right now? No — and that gap is the whole point of the time value of money. A dong in your hand today is worth more than a dong delivered later, because today's dong can be deposited, invested or used to pay down debt, and so it earns its keep during the waiting period.
Present value (PV) is simply compounding run in reverse. Instead of asking "what will today's money grow into?", you ask "what is a future amount worth in today's terms?". You answer it by discounting the future cash flow at a chosen discount rate. Under an illustrative 7%/year assumption, 1 billion VND received in 10 years is equivalent to about 508.349.292 VND today — meaning roughly 491.650.708 VND of value evaporates purely because you have to wait for it.
This matters in everyday VND decisions: comparing a lump-sum offer now against a larger payout later, valuing a deferred bonus, deciding whether to prepay an obligation, or sizing what a future repatriation fund is really worth today. The calculator above takes a future amount, an expected discount rate and a number of years, then returns the present value, the discount factor and the value lost to discounting. One caveat governs everything here: the 7%/year figure in the examples is an illustrative assumption, not a quoted rate. The right discount rate reflects your own cost of capital and the risk of the cash flow — swap in your own number before acting on the result.
How the calculator discounts future money
The core formula
The present value of a single future amount is:
PV = FV / (1 + r)^t
| Symbol | Meaning |
|---|---|
| PV | Present value (today's equivalent amount) |
| FV | The amount received in the future |
| r | Annual discount rate as a decimal (7% = 0.07) |
| t | Number of years until you receive it |
This is the exact inverse of the compound-growth formula FV = PV × (1 + r)^t that FiMo's compound interest calculator uses. Take the PV it returns, invest it at rate r for t years, and you land back on the original FV.
The discount factor
The term 1 / (1 + r)^t is the discount factor — the fraction of a future dong that survives the trip back to today. At 7%/year over 10 years it equals 0.5083, so each dong received in 10 years is worth only about 50.8 cents today. Multiply the discount factor by any future amount to read off its present value directly.
Why a dong today beats a dong tomorrow
Three forces stack on top of each other:
- Opportunity cost — money in hand can be deposited or invested to earn a return immediately.
- Inflation — a fixed sum tends to buy less over time as prices rise.
- Risk — a promise to pay later may not be honoured in full.
The discount rate r bundles all three into a single number. The higher r is, the harder the future is penalised and the smaller the PV.
Beyond a single sum: NPV and annuities
This widget values one lump sum to keep the intuition clean. When you face multiple cash flows spread across years, you discount each one and add them up — that sum is the net present value (NPV), the backbone of project and investment appraisal. When the cash flows are equal and regular (rent, a pension, lease payments), the stream is an annuity and has its own shortcut formula. However elaborate the valuation, it is built from this one brick: the PV of each future amount.
What the model leaves out
The calculator assumes a constant discount rate for the whole horizon and ignores taxes and fees. In reality the appropriate rate shifts with risk and timing. Treat the output as a reference scenario, not a formal valuation.
Worked example: what is 1 billion VND in the future worth today?
Illustrative assumptions: a future amount of FV = 1,000,000,000 VND and a constant 7%/year discount rate.
Same amount, different waiting times (discounted at 7%/year)
| Years to wait | Discount factor | Present value | Value lost to discounting |
|---|---|---|---|
| 5 years | 0.7130 | 712.986.179 | 287.013.821 |
| 10 years | 0.5083 | 508.349.292 | 491.650.708 |
| 20 years | 0.2584 | 258.419.003 | 741.580.997 |
The longer the wait, the smaller the value today: 1 billion received in 5 years is still worth 712.986.179 VND, but pushed out to 20 years it shrinks to 258.419.003 VND — less than half.
Same 10 years, different discount rates
| Discount rate | Discount factor | Present value of 1 billion |
|---|---|---|
| 5%/year | 0.6139 | 613.913.254 |
| 7%/year | 0.5083 | 508.349.292 |
| 10%/year | 0.3855 | 385.543.289 |
A higher discount rate punishes the future harder: the same billion in 10 years is worth 613.913.254 VND at 5% but only 385.543.289 VND at 10%. That is why choosing the discount rate matters as much as the inputs.
Putting it to use: if someone offers you 1 billion VND in 10 years instead of a smaller amount today, compare that "today" amount with the PV of 508.349.292 VND (at the 7%/year assumption). Any immediate offer larger than the PV wins on time-value grounds. To run the calculation the other way — turn today's money into a future value — use FiMo's compound interest calculator; to back out a growth rate from a start and end value, use the CAGR calculator.
Frequently asked questions
What is present value?
Present value (PV) is the amount of money today that is equivalent to a sum you will receive in the future, after discounting it back at a chosen rate. It rests on the time value of money: a dong today is worth more than a dong tomorrow because it can start earning a return immediately. For example, under an illustrative 7%/year assumption, 1 billion VND received in 10 years is worth only 508.349.292 VND today.
What is the present value formula?
PV = FV / (1 + r)^t, where FV is the future amount, r the annual discount rate as a decimal, and t the number of years. Verifiable example: FV = 1,000,000,000, r = 0.07, t = 10 gives PV = 1,000,000,000 / 1.07^10 = 508.349.292 VND. It is the inverse of the compound-growth formula FV = PV × (1 + r)^t.
Why is a dong today worth more than a dong tomorrow?
Three forces stack up: opportunity cost (today's dong can be deposited or invested to earn a return right away), inflation (a fixed sum usually buys less over time) and risk (a future promise to pay may not be honoured). The discount rate folds all three into one number. At an illustrative 7%/year, waiting 10 years strips 491.650.708 VND of value from a 1 billion VND payout.
What discount rate should I use?
There is no single correct figure — the discount rate should reflect your own cost of capital and the risk of the cash flow. A common starting point is the return you could safely earn elsewhere (for example a deposit or low-risk investment yield), plus a premium if the future payment is uncertain. The 7%/year used in this page's examples is purely an illustrative assumption to make the arithmetic easy to check, not a recommendation; substitute your own rate before deciding anything.
How is present value different from future value (compounding)?
They are the same formula run in opposite directions. Future value answers "what will today's money grow into over t years?" (FV = PV × (1 + r)^t) — that is FiMo's compound interest calculator. Present value answers "what is a future amount worth today?" (PV = FV / (1 + r)^t). Invest the PV of 508.349.292 VND at 7%/year for 10 years and you arrive back at exactly 1 billion.
What is the discount factor?
The discount factor = 1 / (1 + r)^t is the fraction of a future dong that survives the trip back to today. At 7%/year over 10 years it equals 0.5083, so each dong received in 10 years is worth about 50.8 cents today. Multiply this factor by any future amount to read off its present value immediately.
How does NPV relate to present value?
Net present value (NPV) is just present value extended to multiple cash flows: you discount each future amount back to today and add them up (usually netting off the upfront cost). It is the standard test for whether a project or investment is worth pursuing. This calculator deliberately values a single lump sum to keep things clear, but every more complex NPV calculation is built on this same PV building block.