Assume we still hold the previous forward contract with Ft = $105.13
After one month, the spot price move to St = $110 but the fixed rate K is $105.13 throughout the life of the contract.
The interest has not changed but the maturity is now shorter by one month; T = 11/12
The new value of contract is Vt = St – Ke-rT = 110 – 105.13e-(0.05)(11/12) = 110 – 100.42 = $9.58
The contract is now more valuable than before because the spot price has moved up.
What if spot price fall?