Consider the setup discussed in section I, with no interest payments. Suppose that the experiment lasts for 15 periods, with dividends that are either $0.12 or $9.24, each with probability 12, and with a final redemption value that equals the sum of the dividends realized in the 15 periods. There is no interest paid on cash balances held in each round. Thus the actual final redemption value will depend on the random dividend realizations. Calculate the expected value of the asset at the start of the first period, before any dividends have been determined. On average, how fast will the expected value of the asset decline in each