The effective annual interest rate is given by
ear = (1 + i/n)^n - 1
where i is the nominal interest rate and n is the number of compounding periods.
ear = (1 + 0.1/12)^12 - 1 = 0.104713 = 10.4713 %
The monthly rate is
r = (ear + 1)^(1/n) - 1 = 0.00833333 = 0.833333 %
The monthly repayment is given by
p = r*pv/(1 - (1 + r)^-n)
where pv is the present value of the loan
p = 0.00833333*1000/(1 - (1 + 0.00833333)^-12) = 87.9159
This gives a total repayment of p*12 = 1054.99