Consider the following investment:

Two years ago, you bought stocks for EUR $15,000.$

One year ago, the value of your portfolio was EUR $16,200.$ Then you invested EUR

$25,000$ more into the stocks of the same company.

Today, the value of your portfolio is EUR $61,800.$

Compute the

a$)$ geometric return $("$time weighted return"$),$

b$)$ internal rate of return $($yield$,$ "dollar weighted return"$).$

c$)$ Which one would you prefer in general if you worked as a fund manager for a client putting randomly money in and out of the fund