Bill has two student loans on which payments begin in 1 month. The first has payments of 100 per month for 120 months at a nominal annual rate of 5% compounded monthly. The second has payments of 200 per month for 60 months at a nominal annual rate of 8% compounded monthly. After the payment at the end of month 30, Bill will have the option to consolidate the loans and continue to make payments of 300 for 50 more months. Required:
If he takes this option, what is his nominal annual yield compounded monthly for the entire arrangement?