SOLVETUTORMATH SOLVER

Instrument MI-02-269 · Finance

Holding Period Return Calculator

Give a starting value, an ending value, and any income collected along the way. The instrument adds price change and income together and returns one total figure.

Instrument MI-02-269
Sheet 1 OF 1
Rev A
Verified
Type 02 — Investing SER. 2026-02269

Holding period return, %

12.0000

HPR = (end value − start value + income) ⁄ start value × 100

The working Every figure verified twice
  1. hpr = (11000 − 10000 + 200) ⁄ 10000·100 = 12.0000
Worksheet log
  1. No entries yet — change an input to log a scenario.

How this instrument works

Holding period return answers a single question: across whatever stretch of time a position was actually owned, what was the total payoff, expressed as a percentage of what it cost to get in? The numerator gathers two separate sources of gain — the change in value between start and finish, plus any cash the position paid out along the way — and adds them before dividing by the starting figure. That addition is the whole point of the formula: price movement and income are different things that happen to a holding for different reasons, and this figure is the one built specifically to add them back together into a single number.

A bondholder collecting coupons while the bond's quoted price drifts, a landlord who cashed rent checks before selling the building, and a dividend investor who received quarterly payouts while the share price climbed all reach for the same shape of arithmetic, even though none of them would call their situation identical. Each has two income streams that ordinarily get reported separately — one from resale value, one from cash paid during the hold — and holding period return is the arithmetic that folds them into one comparable percentage rather than leaving an investor to eyeball two figures side by side.

Nothing about elapsed time enters the formula, which is both its convenience and its limit. A holding period return of 12% covers a six-week trade and a six-year investment with the identical calculation and the identical answer, so the figure alone cannot say how fast the gain arrived — pairing it with an annualizing step is the separate job of converting a realized return into a comparable yearly pace. The formula also assumes the income figure is real cash received, not accrued or estimated, and it takes no account of taxes owed on that income or on any gain once the position is actually closed out.

HPR=VendVstart+IVstart×100\mathrm{HPR} = \frac{V_{\text{end}} - V_{\text{start}} + I}{V_{\text{start}}} \times 100
HPR — holding period return, % · V_end — Ending value, $ · V_start — Starting value, $, must be greater than zero · I — Income received (dividends, interest), $ collected while the position was held.
  • Enter what the position was worth at the start in Starting value, $ — the cost basis or opening balance for the stretch being measured.
  • Enter what it is worth now, or what it sold for, in Ending value, $.
  • Enter Income received (dividends, interest), $ — cash actually paid out and collected during the hold, such as dividends, coupon interest, or rent.
  • Read Holding period return, % — price change and income combined, divided by the starting value.
  • Set Income received (dividends, interest), $ to zero to isolate the price-only portion of the same move.

Worked example — $10,000 growing to $11,000 plus $200 of dividends

Starting value, $ is 10,000 and Ending value, $ is 11,000, so price alone gained 1,000. Income received (dividends, interest), $ adds another 200 collected while the position was held. Add those two together — 1,000 plus 200 — for a combined gain of 1,200, then divide by the starting value of 10,000 to get 0.12, and multiply by 100 so Holding period return, % reads 12.0.

Split that 12.0% into its two pieces and the arithmetic becomes easier to trust: the 1,000 of price gain alone is 10% of the 10,000 starting value, and the 200 of dividends alone is another 2%, and 10% plus 2% is exactly the 12% the formula returns. Drop Income received (dividends, interest), $ to zero with the same start and end figures and holding period return falls to 10.0% — identical to capital gains yield on the same two prices, which is what you would expect once income stops being part of the sum.

Questions

What counts as income in this calculation?

Cash actually paid out and received while the position was held — dividends deposited into a brokerage account, bond or CD interest paid, rent collected on a property before it sold. It does not include unrealized appreciation, which already shows up through the ending value, and it does not include income that was declared but not yet paid.

How is holding period return different from capital gains yield?

Capital gains yield measures price movement only — ending price minus starting price, divided by starting price — and never looks at income at all. Holding period return starts from that same price change and adds any income received on top, so a dividend-paying holding and a non-payer with identical price moves will show the same capital gains yield but different holding period returns.

Does holding period return say anything about how long the position was held?

No — there is no time input anywhere in the formula, so a 12% holding period return could describe a position held six weeks or six years, and the calculation cannot distinguish between them. Converting a realized holding period return into a comparable yearly pace is a separate step, done by annualizing it once the actual number of days is known.

Can holding period return be negative?

Yes, whenever the price decline is larger than the income collected. A position moving from a starting value of 10,000 to an ending value of 9,000 while paying 100 of income shows a holding period return of −9%, since the 1,000 capital loss only gets partly offset by the 100 received — the loss and the income are added together, not treated as separate outcomes.

Should reinvested dividends be entered as income here?

Only if they are not already sitting inside Ending value, $. If dividends were automatically reinvested and bought more shares, that reinvestment already raised the ending balance, so entering the same dividend amount again as income double-counts it and inflates the result. Enter income here only for cash that was paid out separately from whatever figure you used as the ending value.

Does this arithmetic apply outside stocks — to bonds or rental property?

Yes. Any asset with a starting value, an ending value, and some cash paid out in between fits the same shape: a bond's price change plus coupons received, or a rental property's sale price minus purchase price plus rent collected before the sale, each divided by the starting figure. The labels change; the addition of price change and income does not.

References

Read this first: This instrument shows arithmetic, not advice. Real offers add fees, taxes and terms that vary by lender and place — verify the figures against your actual paperwork before deciding anything.