The investor's weighted rate of return on the two investments is closest to 31.75%.
Data and Calculations:
Cost of stock = $40
Time (t) = 0
Cost of stock = $50
Stock dividend per share = $1
Dividend at t1 = $2
Dividend at t2 = $2
Profits from sale of stock = $20 and $10 each
Weighted Rate of Return:
For stock 1 = 28.75% ($21/$40 x 100 1/2 + $1/$40 x 2/2)
For stock 2 = 3% ($1/$50 x 100 + $1/$50 x 100 x 1/2)
Weighted rate of return = 31.75% (28.75 + 3%)
Thus, the weighted rate of return on the investment is closest to 31.75%.
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