True cost per night at every level of actual use, against the hotel’s flat line. The crossing is how often you’d have to go for the house to win on money. Hover to explore.
The yearly cost of owning is the carrying cost (tax, upkeep, insurance, service — itemized or as one figure) plus the capital’s quiet cost: what the purchase money would have earned in the market, minus what the house itself appreciates, with selling costs shaved off the exit value and the whole thing annualized over your horizon. Net rent, if any, comes off the top. Divide by the nights you honestly use it: that is the true room rate, compared against the hotel you’d otherwise book.
Straight-line annualization slightly flatters the early years. Furnishing, the hours you spend managing the place, and hosting wear are not modeled — nor is the value of grandmother’s furniture having a home, a standing invitation for twelve, or the door that opens without a booking app. Utility beyond nights slept is real; it just deserves to know its price, which is what the premium line states.
carry = tax% × P + upkeep% × P + insurance + service − net rent
g = (1 + market)^years
cost = P×g + carry-and-growth − P×(1+appr.)^years × (1 − sell%)
per year = cost / years per night = per year / nights
verdict = per night vs the hotel's rate · parity at 1×