$1-$year futures price of gold is Rs$.500/$g$.$ What should be the $2$ year futures price of gold assuming an annual interest rate of $10\%$ and there are no transaction costs? If a $2$ year future's price on gold is Rs$.560/$g$,$ what kind of arbitrage opportunity arises and how are you going to earn that arbitrage profit? If a $2-$year futures price on gold is Rs$.540/$g$.$ what kind of arbitrage opportunity arises and how are you going to earn that arbitrage profit $?$