Consider a stock whose price on $1$ January is $120$ rupees and which will pay a dividend of I rupee on I July $2000$ and $2$ rumpees on $1$ October $2000.$ The interest rate is $12\%.$ Is there an arbitrage opportunity if on I January $2000$ the forward price for delivery of the stock on $1$ November $2000$ is $131$ rupees? If so$,$ compute the arbitrage profit.