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How do you define a rainy day?
I would not define planning for future care costs as a rainy day but a major consideration for the last years of our lives that we all need to think about as we age.
A rainy day to me means a single event, an unanticipated emergency cost, for example, sudden but unavoidable household repairs, a leaking roof, walls or fences wrecked in a gale or a broken household appliance. Or maybe the car that you hoped would see you through to when you no longer wanted to drive can’t pass the MOT without major work that will cost more than the value of the car. You either pay for the repairs or buy a new used car.
£3,000 to £5,000 seems a reasonable sum to have set aside.
That is part of my planning personally - ie £10,000 in case for me and for NHS bills (ie medical costs the NHS should cover - but wouldn't one way or another). As my house isn't constructed the way I'm used to/thought I'd have (ie it's rendered and painted concrete block walls - rather than red brick walls. Also it's got those concrete tiles on the roof, rather than the normal slate tiles). Grrrrrr....to both - as I want my bricks and slate - then I've mentally added in £10,000 extra for my house being in West Wales, rather than in a South Western English city way of building. I'm very very reluctant indeed to ever take out money for any renovation work that pops up because the house has been built "wrongly" imo - but added it just in case (ie on top of my "own" savings so to say). Basically I'm likely to dig my heels in and refuse to paint the outside ever again - I did it when I first bought the house (as it needed it and it wasn't in "my" colours) - but I won't be doing that again if I could help it.
Owt over and above that is mine to spend as and when I please - and I don't expect to "need" any surplus over and above that.
I don't need money for vets bills - I "borrow" other peoples cats sometimes if we like each other. I don't need money for car repairs - as I turned out to be such a bad driver I gave up the idea (darn it!).
At my age and with the vast majority of the house renovation having been done by me - and so recently - I feel I shouldnt have to spend on any maintenance work to think of for the estimated rest of my life (ie only little bits and pieces like the tv aerial on the roof went for a burden in the gales here - but I've now replaced it with one in the loft and a booster).