The model: two whole bills and one multiplier

The choice between hotel and vacation rental is one of the few travel decisions that reduces to clean algebra. The hotel bill is linear: rate per night times the nights. The rental bill has a different shape: rate per night times the nights, plus a fixed block — final cleaning, service fees, any unreturned deposits — that does not depend on the length of the stay. That asymmetry is the whole heart of the problem: everything the calculator tells descends from it.

The results are four: the saving with the rental (signed: negative when the hotel wins), the two whole bills of the stay, and the hotel multiplier — how many times the hotel bill exceeds the home's, in percent, dimensionless and identical in every currency.

The four knobs: nights, hotel, home and fixed costs

The nights run from 1 to 30: from the overnight stop to the month-long stay. The hotel rate runs from 30 to 400 units per night, in steps of 10: from the provincial hostel to the capital four-star in high season. The rental rate runs from 20 to 350 units: the home market typically runs below the hotel one in the same area. The fixed costs run from 0 to 300 units in steps of 20: zero exists — the direct rental from the owner with no separate cleaning — and 200-300 are the big platforms in expensive destinations, where between cleaning and fees the fixed block is worth two or three nights.

The nights scale: the sign that changes

Hotel at 120, rental at 90, fixed costs at 100; only the length changes:

The first row carries the minus sign: on the weekend the hotel wins, because a hundred units of cleaning spread over two nights weigh fifty per night — more than the rate gap. From the long weekend on the arrow turns, and at the month the home's saving touches eight hundred units. It is the lesson neither faction likes to tell: the right answer depends on the length, and it changes sign precisely where most trips sit.

The break-even night: the border that decides

The model's algebra hands over a formula to do in your head: the break-even comes when the nights equal the fixed costs divided by the rate gap. With a hundred units of fixed costs and thirty of gap, the break-even falls between the third and the fourth night: below, the hotel; above, the home. It is the model's most useful number because it is computed before even opening the calculator: fixed costs over gap — if the stay is shorter, the home does not have the mathematics on its side, however attractive the nightly rate looks.

The fixed costs: the ballast that dilutes

The fixed block is the most underrated variable of the booking, because platforms show it late — after the nightly rate has already made the first impression. The model puts it centre stage: all else equal, every extra twenty units of fixed costs move the break-even by almost one night with a gap of thirty. And it is a ballast that dilutes: the same hundred weighs fifty per night on the weekend and little more than three at the month. The practical rule: the shorter the stay, the more the fixed costs command — and that is why the count must always be done on the total, never on the rate.

The zero-fixed case: the verdict that ignores the nights

The model holds a special case with an elegant property: when the fixed costs are zero, the multiplier no longer depends on the nights — the nights appear in both bills and cancel out in the ratio. Hotel at 120 and home at 90 with no fixed costs give 133.3 percent on the weekend, on the week and on the month, identically. The frozen column says something concrete: the fixed costs, and only the fixed costs, are the reason the length matters. A direct rental with no separate cleaning turns the choice into a simple rate comparison; the platforms with their fixed blocks turn it into a matter of nights.

The model that counts in tens

A numerical detail with a practical consequence: with rates moving in steps of ten and fixed costs in steps of twenty, the difference between the two bills is always a multiple of ten — never an eight, never a three. The saving moves in banknote steps, not coin steps. And the model's narrative threshold is the half thousand: when at least five hundred units run between the two bills — the order of a flight — the accommodation choice stops being a nuance of style and becomes the easiest budget line to attack in the whole trip.

From the hotel that wins to the gold-priced hotel: the four readings

The multiplier classifies the comparison. Below one hundred it is the hotel that wins: the fixed costs devour the home's advantage — typical of short stays. Between one hundred and one hundred and twenty it is the near tie: the choice becomes one of style, services against space. Between one hundred and twenty and one hundred and sixty it is the visible premium: the hotel costs up to half more, a figure that pays for dinners and transport. Beyond one hundred and sixty it is the gold-priced hotel: trade fairs, high season, saturated cities — the territory where the vacation rental stops being an alternative and is simply the market price.

The model's limits: what the count does not see

The perimeter is declared: the count compares accommodation prices only. It does not see the included breakfast worth fifteen units a head at the hotel, nor the home's kitchen that saves two dinners out of three. It does not see location, late check-out, the tourist taxes some cities levy at different rates on the two worlds, nor the dynamic prices that change between search and booking. And it does not judge taste: some gladly pay for the night desk, others for the washing machine. The honest way to use it: enter the final prices the portal shows at the last step, fixed costs included — and that is where the multiplier tells the truth.

The hotel scale: from the hostel to the trade-fair four-star

One week, rental at 90 with a hundred of fixed costs; only the hotel rate changes:

The first two rows carry the minus sign: against the hostel and the two-star, the home with a hundred of fixed costs loses — over a week, the budget option beats the average apartment. From the third row the arrow turns, and the last two cross the half-thousand threshold: against the four-star the home's saving is worth 670 units, and at the fair it vaults past two thousand — almost four times the bill. The practical reading: the multiplier does not compare categories, it compares prices — and the same home turns from nonsense to bargain depending on the hotel put in front of it.

The fixed-costs scale: the arrow that turns in a table

One week, hotel at 120, home at 90; only the fixed block changes:

The nightly rate has not moved by a unit, yet the saving column slides from plus two hundred and ten to minus ninety: the same thirty points of nightly gap are eaten, twenty at a time, by the fixed block. The fourth row is the most instructive: at two hundred of fixed costs ten units of advantage remain — a textbook near tie — and the last step is enough to hand the week to the hotel. It is the five-row demonstration of why the displayed rate is not the price: the price is the total at the last step.

The home scale: the market that decides on its own

The third scale holds hotel and fixed costs still and moves the rental rate, from 40 to 160 over the week: the saving runs from plus four hundred and sixty to minus three hundred and eighty, from a doubled hotel bill to the clear overtake by the expensive home. The two extreme rows tell the two real markets: the home at 40 is the province and the low season, where the apartment is half the bill; the home at 160 above a hotel at 120 is the saturated art city, where the short-rental market has overtaken the hotel one and the common-sense rule has flipped. Here too the count beats the cliché: there is no fixed answer, there is a local ratio of prices.

The grid's extremes and the two touched borders

The model's minimum — one hostel night against the direct room with no fixed costs — closes with ten units of gap: the comparison barely exists. The maximum — a month at the luxury four-star against the expensive home with full fixed costs — closes at twelve hundred of saving, past the half thousand despite a modest multiplier of 111.1: on long stays even a small percentage gap produces large figures. And the grid holds two borders centred to the unit: the perfect tie — five nights, hotel at 100, home at 80 with a hundred of fixed costs: 500 against 500, saving exactly zero — and the half thousand touched: ten nights with the hotel at 150 close at exactly 500.00 of difference, the inclusive border reached to the decimal, as the model promises.

The structural twin: the same algebra as roaming

Whoever used the eSIM vs roaming calculator will recognise the shape: a linear bill against a bill with a block that does not scale, a signed difference that can change direction, a dimensionless multiplier. There the daily pass was diluted by the gigabytes consumed; here the cleaning block is diluted by the nights slept. And the two frozen columns answer each other: in roaming the days always cancelled out, here the nights cancel out only when the fixed costs are zero — and it is precisely the fixed block that makes the length decisive. It is the same lesson in two different markets: fixed costs are the reason length matters, and where there are none, the comparison reduces to a ratio of rates.

The booking traveller's strategies

Four concrete moves follow from the model. Do the break-even count before searching: fixed costs over the rate gap — if your nights are fewer, start from the hotels; if more, from the homes. Read the total at the last step, never the shop-window rate: the fixed block arrives late and it is the one that decides short stays. On long stays, negotiate: many hosts discount the week and the month precisely because their fixed costs dilute — and a discount on the long haul moves half-thousand figures. And redo the count in every city: the ratio between the two markets changes from destination to destination, and the same pair of rates that rewards the home in the province rewards the hotel at the fair — thirty seconds of multiplier are worth more than any fixed rule.

Frequently asked questions

How do you really compare a hotel and a vacation rental?

On the stay total, not on the nightly rate: hotel bill = rate times nights; rental bill = rate times nights plus the fixed costs of cleaning and service. The hotel multiplier — ratio of the two bills in percent — gives the verdict in any currency.

Why does the hotel often win on a weekend?

Because the rental's fixed costs spread over few nights: a hundred units of cleaning weigh fifty per night on a weekend and three at a month. Below the break-even night the mathematics sides with the hotel, even when the home's rate looks lower.

What is the break-even night?

The number of nights at which the two bills are equal: fixed costs divided by the rate gap. With 100 of fixed costs and 30 of gap it falls between the third and the fourth night. Below it the hotel wins, above it the home wins — and it can be computed in your head before booking.

What counts as a rental fixed cost?

Everything that does not depend on the length: final cleaning, the platform's service fee, any check-in costs or unreturned deposits. It should be read at the last step of the booking, where the portal shows the true total.

Why do the nights not matter with zero fixed costs?

Because they appear in both bills and cancel out in the ratio: the multiplier becomes the pure ratio of the rates, identical for every length. It is the proof that the fixed costs, and only they, make the length decisive.

Does the result hold in any currency?

Yes: the model is currency-neutral. Rates and fixed costs are entered in units of your own currency and the multiplier is a dimensionless ratio — 115 percent means the same in euros, dollars or crowns.

Why is the saving always a multiple of ten?

By construction: rates move in steps of ten and fixed costs in steps of twenty, so both bills are multiples of ten and so is their difference. The model counts in tens — banknote steps, not coin steps.

When does the half-thousand threshold trigger?

When at least five hundred units run between the two bills, in either direction. It is the order of magnitude of a flight: at those figures the accommodation choice is no longer a matter of taste but the most attackable budget line.

Should breakfast and the kitchen not be counted?

They are outside the declared perimeter: the count compares accommodation prices only. Whoever wants to include them can do it by hand — add breakfast to the hotel rate if it would be paid anyway, or discount from the home the dinners the kitchen avoids — but the model stays honest only if it is done on both sides.

Do tourist taxes change the comparison?

They can: some cities levy them with different amounts or rates on hotels and short-term rentals, and in some cases the short-term rental pays its own registrations or surcharges. The clean way is to enter rates already inclusive of the local taxes of your case.

Does the count change for groups and families?

Yes, in the home's favour: the hotel multiplies rooms, the apartment multiplies beds. To compare, use as the hotel rate the total of the rooms needed — with two rooms the rate gap doubles and the break-even night halves.

Do dynamic prices make the calculation useless?

No, they make it worth redoing: the count holds for the prices at search time. The structure remains — fixed costs diluted by nights, break-even, multiplier — and thirty seconds of recomputing with updated prices always give the current answer.

Updated July 2026