IRA Calculator
Estimate the compounded balance, total principal and gains of an IRA/TVC at retirement from balance, monthly contribution, return and years.
Input Data
Results
At a glance:An IRA (Individual Retirement Account) is a US self-opened, tax-advantaged retirement savings account, unlike a 401(k) tied to an employer. You contribute up to the legal cap yearly and choose investments, compounding to retirement. Hong Kong has no 'IRA' by name, but the equivalent is TVC (Tax-Deductible Voluntary Contributions) and voluntary MPF — both individually chosen, tax-advantaged, long-term compounding. This calculator uses a monthly-compounding model to estimate the retirement balance from the initial balance plus monthly contributions at a given return, splitting principal and gains.
Formula
Balance = initial × (1 + monthly rate)^months + monthly × [((1 + monthly rate)^months − 1) ÷ monthly rate].
Monthly rate = annual return ÷ 12; months = years × 12.
Total principal = initial + monthly × months; gains = balance − total principal.
$$FV = P(1+i)^n + PMT\cdot\dfrac{(1+i)^n-1}{i}$$$$i = \dfrac{r}{12},\quad n = \text{years}\times 12$$$$\text{Interest} = FV - (P + PMT\times n)$$How to Use
- Enter the current IRA/account initial balance (0 for new).
- Enter the monthly contribution.
- Set the expected annual return and years to retirement.
- View the retirement balance, total principal and gains instantly.
Initial HK$20,000, HK$500/month, 25 years — balance by annual return
| Annual return | Total principal | Balance | Gains |
|---|---|---|---|
| 4% | 170,000 | 311,340.08 | 141,340.08 |
| 6% | 170,000 | 435,796.38 | 265,796.38 |
| 7% | 170,000 | 519,544.21 | 349,544.21 |
| 9% | 170,000 | 748,729.26 | 578,729.26 |
Same HK$170k principal; return rising from 4% to 9% lifts the balance from HK$311k to HK$749k — long-run retirement savings are extremely sensitive to the return.
Case Studies
Case 1: The power of HK$500/month long term
Ms Li, 40, with an IRA initial balance of HK$20,000, plans HK$500/month at 7% for 25 years to age 65.
Result: retirement balance ≈ HK$519,544.21, total principal HK$170,000, gains ≈ HK$349,544.21.
She contributed only HK$170k in 25 years yet accumulates over HK$510k, about 67% from gains. Even a modest monthly amount grows substantially via long-run compounding.
Case 2: The importance of the return assumption
Same initial HK$20,000, HK$500/month, 25 years: at a conservative 4% the balance ≈ HK$311,340.08; at an aggressive 9% it reaches HK$748,729.26.
The same principal differs by over HK$430k. Asset allocation (equity/bond mix) decisively affects the final pension.
Higher expected return usually means more volatility; near retirement, gradually lower the equity weight to lock in gains. HK TVC has a HK$60,000/year tax cap, a useful top-up tool under tax optimisation.
FAQ
How does an IRA differ from a 401(k)?
Both are retirement savings accounts; the key difference is who leads. A 401(k) is employer-provided, often with employer matching; an IRA is self-opened with self-chosen investments, not tied to an employer. In Hong Kong, mandatory MPF resembles a 401(k), while TVC and voluntary contributions resemble the IRA's individual role.
Can I apply this to Hong Kong's TVC?
Yes. TVC and IRA share the same math: periodic contribution, long-run compounding, retirement withdrawal. Enter your TVC amount as the monthly contribution (HK$60,000/year cap ≈ HK$5,000/month) to estimate the TVC balance at retirement.
Why does the return matter so much?
Because compounding is 'return on return'; over 20–30 years, small return differences are magnified exponentially by time. The table shows the same HK$170k principal at 4% vs 9% differs by over 2×. So in retirement planning, asset allocation often matters more than contributing a bit more.
Does the result deduct inflation and fees?
No. The output is nominal, not deducting inflation or fund management fees. For real purchasing power, subtract about 2%–3% inflation from the annual return as a 'real return'; fund fees can also be deducted from the return before estimating.
Lump sum up front or gradual monthly contributions?
Both can combine. The initial balance (lump sum) enjoys the longest compounding time — strongest effect; monthly contributions use dollar-cost averaging to spread entry timing and reduce volatility. The calculator supports both; adjust the initial balance and monthly contribution to compare strategies.
Related Tools
References
This calculator's content is reviewed by our Licensed Financial Planning team. Results are for reference only; please refer to the relevant authorities for the official figures.