A forward price comes from carrying the asset to delivery.
Borrow, buy, deliver
To set the forward price, borrow $100.00 at 5%, buy the asset now, and deliver it at maturity T equals 1.
F0=S0(1+r)T
Fair forward price
At maturity, the loan repayment is $105.00, so the fair forward for this setup is $105.00. A different forward price would leave one side a riskless arbitrage.
S0=$100.00,r=5%,T=1,F0=$105.00
Model note
This argument computes a model forward price under the stated assumptions, not a market price or fair-value claim. It assumes borrowing and lending at one rate, no storage costs, no transaction costs, fees, taxes, credit risk, liquidity limits, collateral effects, or delivery frictions, and an asset held to delivery. This is descriptive, not investment advice.
one rate, no storage, no frictions