A portfolio has a value P(E, S), so that the value P is a function of E, the price of a Euro in Canadian dollars, and S, the level of the TSX stock index. Presently the portfolio is worth $364,000, while a Euro is $1.50 Canadian, and the index is  S  =  18,000. If the partial derivatives of P have values   ∂P ∂E   =  68,000, and   ∂P ∂S   =  −27, what approximately will the portfolio value be if the price of a Euro goes down by 0.04 and the stock index goes down by 413?

Essentials Of Investments
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ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
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A portfolio has a value P(E, S), so that the value P is a function of E, the price of a Euro in Canadian dollars, and S, the level of the TSX stock index. Presently the portfolio is worth $364,000, while a Euro is $1.50 Canadian, and the index is  S  =  18,000.

If the partial derivatives of P have values  
P
E
   =  68,000, and  
P
S
   =  −27, what approximately will the portfolio value be if the price of a Euro goes down by 0.04 and the stock index goes down by 413?
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