The forward rate can be calculated using the no-arbitrage relationship between spot rates:
(1+S2β)2=(1+S1β)(1+f1,1β)
f1,1β=[(1.09)2/1.04]β1=14.24%
Alternatively, we can denote this as:
F=V1βV2ββ
Where V1β is the value to which one dollar grows by time T1β and V2β is the value to which one dollar grows by time T2β.
In this case,
F=V1βV2ββ=1.041.092β=1.1424
So that F=1.1424β1=14.24%