Implementation Shortfall - Sale Transaction

Day 1: At the close of the market, XYZ shares are priced at $40. The portfolio manager decides to sell 5,000 shares at $41 per share and places a limit order that will expire at the end of the next day.

Day 2: No shares are sold and the stock closes at $39.50

Day 3: Before the opening, the portfolio manager submits a new 1-day limit order to sell 5,000 shares of XYZ at price of $39.60. As the trading day winds down, 4,000 shares fill at $39.70 plus $75 comission. XYZ shares close at 39 and the order was cancelled.

Calculate each component of implementation shortfall as a percentage.

Can anyone solve this and explain their solution?

the brave one here …perhaps one among the most difficult topcs in the curriculum. I’d try to allocate the costs across the implementation shortfall components and notably :

Base would be 40 (closing price at the decision taken) X 5,000 = $ 200,000

Explicit costs : $ 75 commissions —> 75/200,000 = 0.0004 or 0.04%

Realized loss : (39.7 - 40.0) x 4,000 = 1,200. I apply 40 which is the closing price post decision (not sure though) = 0.6%;

Opportunity costs : (39 - 40) x 1,000 = $1,000 which means 0.5%

Realized loss probably includes some delay costs as well. Sorry if I haven’t been so helpful but that’s how i’d approach this issue

Realized Costs are based on adjusted Decision Price of $39.50:

(39.70 - 39.50) x 4,000 = $800 or 0.4% (gain)

Delay Costs : (39.50 - 40) x 4,000 = -$2,000 or -1% (loss)

I used this summary for IS:

http://www.analystforum.com/forums/cfa-forums/cfa-level-iii-forum/91341464

Thanks for the answers sunseeker and jpsi1, jpsi1 very useful link thank you for this, I think this answers my question.

I think where I was stumbling was the adjusted decision price. Thank you both :]

Reasonable split up Jpsi1. Reasonable split up.

thanks indeed for your input