Consider an asset market with no interest payments. Suppose that the experiment
ID: 2769405 • Letter: C
Question
Consider an asset market with no interest payments. Suppose that the experiment lasts for 10 periods, with dividends that are either $1 or $5, each with 50 percent probability, and with a final redemption value that equals the sum of the dividends realized in the 10 periods. Since there is no interest paid on cash balances held in each round, the actual final redemption value will depend on the random dividend realizations. On average, how fast will the expected value of the asset decline in each round? Calculate the expected value of the asset at the start of the first period, before any dividends have been determined. What is the highest amount the final redemption value could be, and what is the lowest amount?
Explanation / Answer
Answer :
Answer Assume Risk free interest rate is 5% Sl no. PVIF @ 5% Reduce amount 0 1.000 1 0.952 0.048 2 0.907 0.045 3 0.864 0.043 4 0.823 0.041 5 0.784 0.039 6 0.746 0.038 7 0.711 0.035 8 0.677 0.034 9 0.645 0.032 10 0.614 0.031 Total reduction 0.386 Average reduction 0.039 Answer Assume Risk free interest rate is 5% Sl no. Dividend PVIF @ 5% Present Value 1 5 0.952 4.760 2 5 0.907 4.535 3 5 0.864 4.320 4 5 0.823 4.115 5 5 0.784 3.920 6 5 0.746 3.730 7 5 0.711 3.555 8 5 0.677 3.385 9 5 0.645 3.225 10 5 0.614 3.070 Highest Asset Value 38.615 Assume Risk free interest rate is 5% Sl no. Dividend PVIF @ 5% Present Value 1 1 0.952 0.952 2 1 0.907 0.907 3 1 0.864 0.864 4 1 0.823 0.823 5 1 0.784 0.784 6 1 0.746 0.746 7 1 0.711 0.711 8 1 0.677 0.677 9 1 0.645 0.645 10 1 0.614 0.614 Lowest Asset Value 7.723