Shall I pay back my home loan?

RBI started raising the CRR and Repo, Reverse Repo rates, at this juncture floating rates are likely to go up. If they do, your home loan tenure or EMI or both will increase also.
If you decide to switch from floating to fixed or changing your lender in that scenario consider the below facts on the same.

If you are foreclosuing the loan the conversion fees to other financier could be around 1-2% of the outstanding amount. If one decides to change the lender, foreclosure penalty as well as the processing charges on the new loan might defeat the purpose of the change or foreclosure

The post tax effective rates could be less than the actual ones. For the first house, you get a tax break of up to Rs 1 lakh on the principal repayment and Rs 1.5 lakh on the interest. If you haven't used up this limit, then a higher EMI will only mean higher tax benefits. But make sure you have enough funds to pay for higher EMIs

While prepaying factor in tax breaks, your post tax effective home loan rate will change according to the tax slab you are in (see the below table), You should start prepaying once the effective rate crosses the assured risk-free return rate of PPF, Prepaying helps hold EMIs at a fixed level

Home Loan Rate At 20% of Tax Rate At 30.9% Tax Rate
7.00 5.56 4.84
7.50 5.96 5.18
8.00 6.35 5.53
8.50 6.75 5.87
9.00 7.15 6.22
9.50 7.54 6.56
10.00 7.94 6.91
10.50 8.34 7.26
11.00 8.73 7.60
11.50 9.13 7.95
12.00 9.53 8.29
12.50 9.93 8.64
13.00 10.32 8.98

Note: Considering 8% of PPF interest as the highest assured risk-free return, start prepaying your home loan once the post-tax effective rate crosses 8%