Assume there is an estimation with 95% confidence that an index would trade in a range below 183.50 (on the upside), and down to 174 on the downside within the next 3 months. The index is currently at 181. How would one trade such index under the hypothesis the estimation is accurate?
You could be a little "bolder" and just "sell the meat", i.e. short-sell the 180-straddle or the 175/185-strangle......and pray.
An asym fly would also work if you're looking purely at path-independence. The SPY 168/174/187 in puts, 231 ratio BUY from 3.51 mid. Decent vol-edge out to term (VolSum * delta = 200bp). Not chosen due to your mid-strike assumption: