The correct answers are: 182 ticks and 0.008394.

The basis risk is the difference between the spot rate and the futures market rate. Currently the spot rate is 128.15 Yen/$, which is 0.007803 $/yen. The current futures market rate is 0.007985, which is a difference of 182 ticks (with three months until expiry of the contract).

On 1 September, the spot rate is 120 Yen/$, which is 0.008333 $/Yen. The basis with three months to go was 182 ticks (above). This declines evenly over time so with one month to go until the end of September there will be 1/3 of the basis left, so 182/3 equals 61 ticks. Hence the futures rate is 0.008333 plus 61 ticks (0.000061) which equals 0.008394.

To work out the basis of 182 ticks we took the difference between the spot and futures rate. On 1 September we know the spot rate and the expected basis so we can find out the futures rate. This is bigger than the spot rate at the start, so we expect it to be bigger at the end.