Spot price of gold is Rs$.400/$g$.$A two$-$month forward contract is available.What should be the forward price of gold in this contract assuming an annual interest rate of $12\%$ and no transaction costs $?$ if the two$-$month forward price is Rs$.420/$g$,$ what kind of arbitrage opportunity arises and how are you going to earn that arbitrage profit $?$ If the two month forward price is Rs$.402/$g$,$ what kind of arbitrage opportunity arises and how are you going to earn arbitrage profit $?$