Grilled Salmon with Herbed Butter Sauce

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1 (5 to 6 pound) whole salmon

2 to 3 tablespoons olive oil

Salt and freshly ground black pepper

Herbed Butter Sauce, recipe follows

Herbed Butter Sauce:

2 shallots, minced

1 tablespoon unsalted butter, plus 1/2 cup cold unsalted butter

1/4 cup Chardonnay

2 tablespoons chicken stock

1 tablespoon white wine vinegar

1 tablespoon lemon juice

1/4 cup heavy cream

1/2 cup packed chopped tarragon leaves

2 tablespoons packed chopped parsley leaves

Salt and freshly ground black pepper