Scenario calculator

Premium Bonds Odds and Winnings Calculator

Estimate the chance of at least one Premium Bonds prize and the average expected prize value for a holding and period you choose. Calculations use the dated NS&I parameters shown below: a 3.80% prize fund rate and 22,000-to-1 monthly odds per £1 Bond, effective from the July 2026 draw and reviewed on 9 August 2026.

Your scenario

Statistical outlook

In one month
Not available

Chance of at least one prize

Over 12 months
Not available

Chance of at least one prize


Chance of no prize over your period: Not available

Average expected prize value: Not available

Median outcome: Not available

Select a scenario to calculate an estimate from the verified parameters shown below.

Current model parameters

ParameterReviewed value
Prize fund rate3.80%
Odds per £1 Bond22,000:1 per monthly draw
Effective monthJuly 2026
Last reviewed2026-08-09
NS&I product source ↗

How the estimate is calculated

  1. Validate the holding and period against the limits shown in the form.
  2. Apply the published monthly odds to each eligible £1 Bond and use the complement rule for at least one prize.
  3. Apply the dated annual prize fund rate to show average expected value for the selected period.
  4. Round displayed probabilities and currency only after the calculation.

The median needs a verified prize-distribution model, not only headline odds and rate. It remains unavailable until that input passes review.

Method and limitations

This tool uses only the inputs and dated parameters shown on the page. Estimates are not guaranteed returns. Average expected value, median outcome and your actual outcome are different. Confirm current product information directly with NS&I; this is not financial advice.

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