Rachel Reeves has revealed a “£22bn black hole” in the public finances. So do the chancellor’s sums add up and what is her plan for balancing the books? Sonia Khan, a former Treasury special adviser, joins the IfG podcast team to discuss the changing of the ministerial guard at the Treasury and the politics of spending reviews.

Talking of spending reviews, is there a better way to go about running them? A new IfG paper has the answers. And is the civil service set up to deliver for a mission-led government? Another new IfG paper reveals 20 ways to overhaul Whitehall.

Plus: Braced for Badenoch? Poised for Patel? Time for Tugenhadt? We preview the Conservative leadership contest.

Hannah White presents, with Tom Pope and Jack Worlidge. Produced by Candice McKenzie

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The Chancellor’s statement of intent