interest risk hedging, number of contracts Awan Co, December 2013

The question is:
Awan Co is expecting to receive $48,000,000 on 1 February 2014, which will be invested until it is required for a large project on 1 June 2014. Due to uncertainty in the markets, the company is of the opinion that it is likely that interest rates will fluctuate significantly over the coming months, although it is difficult to predict whether they will increase or decrease.
Awan Co can invest funds at the relevant inter-bank rate less 20 basis points. The current interbank rate is 4.09%. However, Awan Co is of the opinion that interest rates could increase or decrease by as much as 0.9% over the coming months.
It can be assumed that settlement for the futures and options contracts is at the end of the month and that basis diminishes to zero at contact maturity at a constant rate, based on monthly time intervals. Assume that it is 1 November 2013 now and that there is no basis risk.
Three-month $ futures: $2,000,000 contract size
Prices quoted in basis at 100- annual % yield
December 2013: 94.8
March 2014: 94.76
June 2014: 94.69

My question is:
When I’m calculating the number of the contracts, I found the answer took the term of the loan (in this question is from 1 Feb to 1 Jun), which is four months, however, when calculating the basis risk, which is just before the loan begins (1 Nov to 1 Feb). I may not understand how this works, I think we should take 3 months (1 Nov to 1 Feb) the same as the period that we need to hedge the interest risk.

Thank you