Question

Suppose you purchase one share of the stock of Red Devil Corporation at the beginning of year 1 for $42.50. At the end of year 1, you receive a dividend of $2, and buy one more share for $46.50. At the end of year 2, you receive total dividends of $4 (i.e., $2 for each share), and sell the shares for $54.50 each. What is the time-weighted return on your investment

Answer 1

17.76%

Step-by-step explanation:

The computation of the time-weighted return on your investment is given below

But before that we have to do the following calculations

Year 1 = ($46.50 - $42.50) + 2 ÷ ($42.50) × 100 = 14.12%

Year 2 = ($54.50 - $46.50) + 2 ÷ ($46.50) × 100 = 21.51%

Now the time weighted return is

(1 + t)^2 = (1 + 14.12%) × (1 + 21.51%)

= 1.1412 × 1.2151

= √1.3867 - 1

= 17.76%