An exporter — constructed for this page — whose costs are all in its home currency invoices a customer US$1.0m, payable in 90 days. On the day of the invoice a dollar buys 1.50 of the home currency. By the day the customer pays, a dollar buys 1.35.
Value of the invoice at home, when priced: 1.0m × 1.50 = 1,500,000
Value of the receipt at home, when paid: 1.0m × 1.35 = 1,350,000
Unhedged cost of the move: −150,000 (a tenth of the sale)
Sold forward at 1.50 on the invoice date: 1.0m × 1.50 = 1,500,000, whatever spot did
With home interest rates at 5% and dollar rates at 3%, the 90-day forward would in fact have been a little above spot — about 1.507 — so the hedged exporter keeps roughly 1,507,000, more than the invoice was worth on the day it was priced. Had the dollar strengthened to 1.65 instead, the unhedged exporter would have gained 150,000 and the hedged one would still have 1,507,000. A forward is not a way to win; it is a way to stop playing.