You just won the Power Ball Lottery worth $70,000,000. Upon reading the fine print you learn, that you have two options:

Option A: take the cash value of $47.6 million today (before taxes)

Option B: The winner is guaranteed to receive 30 graduated payments over 29 years; the first payment is made today.These payments will increase by 5% per year until the final payment. The first payment, received today, equals $1,900,000.

Assuming a required rate of return of 6%, calculate the present value of option B.