Morty Seinfeld owns 100 shares in a tobacco company called Tarbox.Morty brags about its steady,annual dividend of $1.25 per share.You are jealous of the dividend but philosophically opposed to "sin" companies,so you can't buy the stock.Instead,you have identified the Paper Street Soap Factory (PSSF) which is developing a new biodegradable bath soap.The company plans to begin paying an annual dividend of $1.25 starting in three years.Stockholder in both companies require a return of 8%.A stock price and dividend forecast for the two companies is provided in the table.(Assume that dividends are paid in perpetuity.) Your plan is to buy shares in PSSF today,sell some at Year 1,some at Year 2 and then hold the remainder in perpetuity.How many shares do you have to buy today in order to earn the same annual income as Morty?

Question

Quizplus · Accepted Answer

At time 1, sell an amount, S₁, so that the proceeds from selling match Morty's dividends: S₁ × P₁ = 100 × $1.25 Where S₁ is the number of shares sold at time t = 1. P₁ = $14.467, so S₁ = 11ea7fdb_fc50_2ebf_a768_7b811e8c8027_TB2902_11 = 8.64 At time 2, sell an amount, S₂, so that the proceeds from selling match Morty's dividends: S₂ × P₂ = 100 × $1.25 Where S₂ is the number of shares sold at time t = 2. P₂ = $15.625, so S₂ = 11ea7fdb_fc50_55d0_a768_f7c6b2d62b21_TB2902_11 = 8 Therefore, buy 100 + 8.64 + 8 = 116.64 shares at time 0. The total cost of the purchase is 116.64 × $13.395 = $1,562.50, which is the same as Morty's acquisition costs at Year 0.

Morty Seinfeld Owns 100 Shares in a Tobacco Company Called