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I'd tend to prioritise keeping your options open.
If there's a particular LTV that gets you a better % then could be worth going for that figure.
If you have a mortgage that allows overpayments then there's always the option of keeping a long term but knowing you can reduce it if you choose.
You'll probably earn more putting the overpayments into a S&S ISA... probably.I'm expecting to be moving in the next few weeks and decided to put a smaller deposit and to keep the rest for either improvements or investing elsewhere. Personally the flexibility is preferable over having a smaller outstanding mortgage, though I know plenty of others who prefer a smaller mortgage and smaller savings. I don't think one is necessarily better than the other.
Edit: What Howard said basically.
going to be remortgaging in the next few months. what factors do people take into account when deciding on how to much to overpay/up their monthly payments by? I am in a much stronger financial position than I was when I took out the mortgage 2 years ago so could comfortably double the payments and cut down the loan period quite significantly (its currently 33 years - I'm only 28)....
at the same time, interest rates are so low that I am not really in a huge rush to get it paid off - with savings from salary going into my S&S ISA etc. On the other hand - we will probably move again in 3-4 years and as my partner doesn't earn a huge amount it would be great to build even greater equity in our place, in time for our next move