An investor buys a share of stock for $40 at time t = 0, buys another share of the same stock for $50 at t = 1, and sells both shares for $60 each at t = 2. The stock paid a dividend of $1 per share at t = 1 and at t = 2. The periodic money-weighted rate of return on the investment is closest to:

Respuesta :

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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