Futures vs Forwards

[Tartaglia]

Hi everyone,
the following question from the curriculum is not quite clear to me:
Which of the following conditions will not make futures and forward prices equivalent?

1. Interest rates are known.
2. Futures prices are uncorrelated with interest rates.
3. The volatility of the forward price is different from the volatility of the futures price.Solution to 2.

C is correct. Known interest rates and the condition that futures prices are uncorrelated with forward prices will make forward and futures prices equivalent. The volatility of forward and futures prices has no relationship to any difference.
I have multiple issues:
1) There seems to be an arror in the solution. “…and the condition that futures prices are uncorrelated with forward prices will make forward and futures prices equivalent”. This should be instead the condition that futures prices are uncorrelated with interest rates, right??
2) Shouldn’t it be constant interest rates instead of known interest rates? In the book it says:
But there are some conditions under which the pricing is the same. It turns out that if interest rates were constant, forwards and futures would have the same prices. The differential will vary with the volatility of interest rates. In addition, if futures prices and interest rates are uncorrelated, forwards and futures prices will be the same.
3) A more general concern. When they talk about futures prices and forward prices they really are referring to the values of those contracts rather than the prices that are agreed upon in the contract, am I right?
Thanks for your help,
Tartaglia

 

[Tartaglia]

In case someone else has similar issues with this question, I contacted the institute and both points (i.e. 1 and 2) are indeed erroneous and they will correct it in the next update of the errata.