A chef quote has three moving parts, and they are worth separating because only one of them is fixed. Confuse them and you cannot compare two villas honestly.
The day rate is the labour
The day rate pays the chef for the day, typically two services and the shopping. It is the stable part of the quote, set by the local market and the chef's reputation, and it climbs in high-demand spots like St Barts at New Year or Mykonos in August where good chefs are booked out months ahead. A name chef or a Michelin background can double it.
Food at cost is the real variable
On a reputable arrangement the chef shops and you reimburse the grocery spend with receipts, no markup. Budget €60 to €150 per person per day, but understand that you control this number. A simple Mediterranean menu sits at the bottom, and a week of seafood towers, prime cuts, and serious wine pushes the food bill past the chef's fee. Set a daily grocery budget up front.
In-house versus independent
The in-house chef is bundled into a staffed villa, so you pay only for food. The independent chef is hired by the day onto a self-catered villa. Run both totals: if you would eat in five nights of seven, the staffed villa with its included chef usually wins, because you are not paying a separate day rate each time. For two or three set-piece dinners, the independent is cheaper and lets you choose the cook.
Gratuity, by region
The gratuity is separate from the day rate and the norms differ sharply. In Europe 5 to 10 percent of the chef's fee at the end of a good week is standard. In the Caribbean and the United States the expectation is 15 to 20 percent, and some packages add an 18 percent service charge automatically, so check before you tip twice.