investment
IRR Calculator
Estimate internal rate of return from fixed recurring cash flows or irregular annual project cash flows.
investment calculator
The Mutual Fund Calculator models one simplified mutual fund path from an initial purchase, optional annual and monthly purchases, a fixed annual return assumption, holding years and months, a front-end sales charge, an annual operating-expense ratio, and an optional deferred sales charge at redemption. It reports ending value, total principal, total contributions, net return, net IRR, sales charges, deferred sales charge, operating expenses, total charges and fees, fee drag on principal, holding months, and an estimate-only note.
Your scenario
Working scenario
Not saved yet
Saved scenarios
Save this result, then use saved scenarios to switch between assumptions.
Use this calculator when the question is how purchase timing, loads, operating expenses, and a holding period change one simplified fund estimate. Use Investment for broader contribution, tax, and inflation projections, IRR for a flexible cash-flow rate solve, ROI for one start-to-end invested and returned amount, Average Return for account cash-flow or period-return annualization, and Bond for coupon, price, yield, and maturity questions.
The calculator rounds Holding length in years * 12 plus Holding length in months into monthly steps. It converts Rate of return and Operating expenses into effective monthly rates with (1 + annual rate / 100)^(1 / 12) - 1. Each purchase records the full amount as an investor cash outflow, but the Sales charge is deducted before the rest enters the simulated balance. In each month, the existing balance grows by the effective monthly return, operating expense is deducted from that post-return balance, the monthly contribution is purchased, and the annual contribution is purchased at completed full-year months. Deferred sales charge equals the lesser of total principal and the pre-redemption balance times the deferred rate. Ending value is the remaining balance, net return is ending value minus total principal, fee drag is total charges and fees divided by total principal, and Net IRR is solved from purchase outflows plus the final net redemption value.
This formula page covers the app's Mutual Fund Calculator: a fixed-return, monthly-step model for an initial purchase, optional monthly and annual purchases, front-end sales charges, annual operating expenses converted to a monthly drag, an optional deferred sales charge at redemption, ending value, net return, fee drag, and net IRR. It does not look up real funds, NAVs, prospectuses, share classes, breakpoints, waivers, tax treatment, distributions, market volatility, account fees, or adviser and brokerage charges.
N = round(12Y + M); r_m = (1 + R)^(1 / 12) - 1; e_m = (1 + E)^(1 / 12) - 1; I_i = P_i * (1 - s); OE_m = B'_m * e_m; DSC = min(TP, B_N) * d; EV = max(0, B_N - DSC); IRR: sum(CF_i / (1 + x)^t_i) = 0
The calculator converts annual return and annual operating-expense assumptions to monthly rates, reduces every purchase by the sales charge, grows and expenses the balance month by month, subtracts a deferred sales charge at redemption, and solves investor cash flows for a net IRR.| Symbol | Meaning | How this page uses it |
|---|---|---|
| N | Holding months | The rounded number of monthly simulation steps from Holding length in years times 12 plus Holding length in months. |
| Y | Holding years | The Holding length in years input. |
| M | Extra holding months | The Holding length in months input, from 0 to 11. |
| R | Annual return assumption | The Rate of return field divided by 100. It is a user-entered assumption, not a fund forecast. |
| r_m | Effective monthly return | The monthly growth rate implied by the entered annual return assumption. |
| E | Annual operating expense ratio | The Operating expenses field divided by 100. It represents the app's annual expense-drag assumption. |
| e_m | Effective monthly expense rate | The monthly expense rate implied by the entered annual operating-expense assumption. |
| P_i | Purchase amount i | The full investor purchase amount: initial investment at time 0, monthly contribution each month, or annual contribution at each full year. |
| s | Sales charge rate | The Sales charge field divided by 100. |
| I_i | Invested purchase amount | The portion of a purchase that enters the simulated fund balance after the sales charge is deducted. |
| B_m | Balance after month m | The simulated fund balance after monthly return, operating expense, and any purchases for that month. |
| OE_m | Operating expense in month m | The monthly expense deducted from the post-return balance before new purchases are added. |
| TP | Total principal | Initial investment plus all monthly and annual contributions. |
| d | Deferred sales charge rate | The Deferred sales charge field divided by 100. |
| DSC | Deferred sales charge | The redemption charge calculated from the lesser of total principal and the pre-redemption balance. |
| EV | Ending value | The simulated balance after subtracting any deferred sales charge. |
| NR | Net return | Ending value minus total principal. |
| TF | Total charges and fees | Total sales charges plus deferred sales charge plus accumulated operating expenses. |
| FD | Fee drag on principal | Total charges and fees divided by total principal. |
| IRR | Net internal rate of return | The annual rate solved from full investor purchases as outflows and ending value as the final inflow. |
The default inputs use a $20,000 initial investment, $1,000 monthly contributions, 5 years, a 5 percent annual return assumption, a 2 percent sales charge, no deferred sales charge, and a 0.5 percent annual operating-expense assumption.
The gross return assumption is not the investor's net return. Purchase loads, ongoing expense drag, contribution timing, and redemption charges can all move the ending value and IRR.
Geographic scope: works globally. The math is currency-agnostic, so enter amounts in your own currency; local taxes, fees, and product rules are not included.
Three fee layers are modeled explicitly: a front-end sales charge deducted from every purchase (2 percent default), an operating expense ratio converted to a monthly drag on the balance (0.5 percent default), and an optional deferred sales charge at redemption. The outputs itemize each fee's dollar total plus a combined fee-drag percentage, so you see exactly how much of the gross return assumption the fee structure consumed.
The return rate you enter is the gross growth assumption before costs. The net IRR is solved from your actual cash flows - purchases reduced by sales charges, balances shaved monthly by expenses, and redemption reduced by any deferred charge - so it reflects what your money earned after the fee structure. The gap between the two numbers is the honest cost of owning the fund under your assumptions.
No. The growth rate is a fixed assumption; real funds have volatility, drawdowns, distributions, and changing expenses that a constant-rate model cannot show. Fee handling is also simplified - real funds accrue expenses daily and may have waivers or breakpoints. Use the estimate to compare fee structures and contribution plans on equal assumptions, then read the fund's prospectus for its actual terms.
This calculator is an original monthly fund-cost simulation modeling front-end sales charges per purchase, an expense-ratio drag converted to monthly, an optional deferred sales charge at redemption, and a net-IRR solve, validated by deterministic fixtures and rounding policy tests. It is not copied from a single source.
Fixtures itemize each fee layer's dollar effect and pin the net-IRR cash-flow solve against the gross-return assumption. The result remains an educational estimate, not a fund performance projection or a prospectus figure.
Formula version 2026.05.22-generic-mutual-fund. The version marks the calculation logic and validation fixture set used for this estimate.
Results are educational estimates, not advice. Read the full disclaimer.
investment
Estimate internal rate of return from fixed recurring cash flows or irregular annual project cash flows.
investment
Estimate return on investment, gain or loss, and annualized return from investment amounts and time held.
investment
Solve an investment goal from starting amount, end amount, return rate, contribution amount, and investment length.
investment
Estimate annualized return from account cash flows or from several holding-period returns.
investment
Estimate fixed-rate bond price, yield, coupon sensitivity, clean price, dirty price, and accrued interest.