Calculator
The form uses a responsive grid. It shows three columns on large screens, two on smaller screens, and one on mobile.
Example Data Table
| Case |
Type |
Rate |
Years |
Cash Flow |
Present Worth |
| Example 1 |
Single Future Sum |
8% |
5 |
10,000 in year 5 |
6,805.83 |
| Example 2 |
Level Annuity |
7% |
6 |
900 each year |
4,286.07 |
| Example 3 |
Growing Annuity |
9% |
4 |
500 growing by 3% |
1,727.25 |
Formula Used
Single future sum: PW = F / (1 + i)n
Level annuity: PW = A × [(1 - (1 + i)-n) / i]
Annuity due: PW = A × [(1 - (1 + i)-n) / i] × (1 + i)
Growing annuity: PW = A1 × [1 - ((1 + g) / (1 + i))n] / (i - g)
Perpetuity: PW = A / i
Here, PW means present worth, F means future amount, A means payment, A1 means first payment, i means periodic discount rate, g means periodic growth rate, and n means total periods.
How to Use This Calculator
- Select the calculation type.
- Enter the future value, payment, or first payment.
- Enter the annual discount rate.
- Choose years and compounding frequency.
- Select payment timing.
- Click the calculate button.
- Review the result above the form.
- Download the report as CSV or PDF if needed.
Present Worth Calculator Guide
A present worth calculator helps compare money across time. It converts future cash flows into one value today. This supports clear financial reasoning. It also helps users test many discount assumptions quickly.
Why present worth matters
Money today has more value than money later. You can invest current funds. You can also avoid delay and risk. Present worth analysis captures that difference. It is useful in math, engineering, and business planning.
What this calculator covers
This calculator handles a single future sum. It also handles equal annuities, growing annuities, and perpetuities. You can choose end-of-period or beginning-of-period timing. You can also change compounding frequency for better accuracy.
How discounting works
Discounting moves future cash back to today. A higher discount rate lowers present worth. A longer time period also lowers it. Growth can offset some discounting. That makes the growing annuity option useful for rising payment streams.
When to use each option
Use a future sum for a one-time amount. Use a level annuity for equal recurring payments. Use a growing annuity when payments rise over time. Use a perpetuity for long-term constant payments with no end date.
Why schedules help
The schedule shows each discounted cash flow. This makes the calculation easier to verify. It also helps in audits, reports, and homework checks. Export options make record keeping simple and organized.
Best practice
Always match the rate and period units. Review payment timing carefully. Test more than one rate when decisions are important. Small rate changes can create very different present worth values. Good inputs create better comparisons and better choices.
FAQs
1. What is present worth?
Present worth is the value today of money received later. It discounts future cash flows using a selected rate and time period.
2. Why does a higher rate reduce present worth?
A higher discount rate increases the reduction applied to future cash flows. That makes the current value smaller.
3. What is the difference between ordinary and due timing?
Ordinary timing assumes payment at the end of each period. Due timing assumes payment at the beginning, so present worth becomes higher.
4. When should I use the growing annuity option?
Use it when each payment grows by a fixed rate. Rent increases and salary-linked inflows are common examples.
5. What does compounding per year change?
It changes the periodic discount rate and total number of periods. That can affect the final present worth result.
6. Can I use this calculator for study work?
Yes. It is useful for math exercises, engineering economy examples, and time value of money practice.
7. Why is my perpetuity result very large?
Perpetuities assume payments continue forever. When the discount rate is low, the present worth becomes much larger.
8. What files can I export?
You can export the current result as CSV and PDF. These are useful for reporting, sharing, and archiving.