A pension fund that begins with $500,000 earns 15% the first year and 10% the second year. At the beginning of the second year, the sponsor contributes another $300,000. The dollar-weighted and time-weighted rates of return, respectively, were

time-weighted   12.5%

dollar-weighted 12%

Explanation:

time-weighted:

Dollar-value

Return on dollars

Present value of the return

Present value of the investment:

Both this concepts should match as they work with the same weighted rate

We use cuadratic equation and solve getting a rate of 12%

convection currents in magma drive plate tectonics. the answer is true.

you have to put the parentheses like this:

in fact, you have to perform the operation inside parentheses first, and then proceed in order: