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Shares of ABC company pay a N$6 dividend at the end of every year (i

Finance Dec 19, 2020

Shares of ABC company pay a N$6 dividend at the end of every year (i.e. 31st December). An investor buys two shares of the stock on period 0 at price N$25 each, sells one of those shares for N$50 a year later and sells the second share an additional year later for N$25. Find the time weighted rate of return of this 2-year investment.

Expert Solution

Total Investment at time 0 = N$25*2 = N$50

Value of investment at time 1 = N$50*2+$6*2 = N$112

Return in 1st year = (N$112-N$50)/N$50 = 1.24 or 124%

Investment at time 1 = N$50*1 = N$50

Value at time 2 = N$25+ N$6 = N$31

  Return in 2nd year = (N$31-N$50)/N$50 = -0.38 or -38%

So, time weighted return

= Geometric mean of the two returns

= ((1+1.24)*(1-0.38))^0.5-1

=0.1784736 or 17.85%

Time weighted return is 17.85%

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