Lets say we have a situation where all 12-month LIBOR forward rates at 8% per annum with annual compounding. All cap volatilities are 16%. Estimate the difference between the way a sophisticated trader and an unsophisticated trader would value a LIBOR-in-arrears swap where payments are made annually and the life of the swap is 5 years and 10 years. Also, assume a notional principal of $1 million and no difference between the risk-free discount rate and LIBOR rates.