On January 4, 2019, the DJIA opened at 10,097.90. The divisor at that time was .147621194. In January 2019, Boeing was the highest-priced stock in the DJIA and Cisco was the lowest. The closing price for Boeing on January 3, 2019, was $340.90, and the closing price for Cisco was $43.47. Suppose the next day the other 29 stock prices remained unchanged and Boeing increased 3.2 percent. What would the new DJIA level be

The question is incomplete. The complete question is :

On January 4, 2019, the DJIA opened at 10,097.90. The divisor at that time was .147621194. In January 2019, Boeing was the highest-priced stock in the DJIA and Cisco was the lowest. The closing price for Boeing on January 3, 2019, was $340.90, and the closing price for Cisco was $43.47. Suppose the next day the other 29 stock prices remained unchanged and Boeing increased 3.2 percent. What would the new DJIA level be :

1. DIJA if Boeing increases 3.2 percent

2. DIJA if Cisco increases 3.2 percent

Solution :

On 3 Jan 2019, Boeing = $ 340.90,  Cisco = $ 43.47

DJIA = 10,097.90

Divisor = 0.147621194

Index value =

Then the value of shares,

Value of all shares = 10097 x 0.147621194

                               = 1490.664

The other 29 stock prices remain unchanged, then we add the increased value of a stock to total value after divide by divisor, then we get the Index value.

The new DJIA level :

1. When Boeing increases 3.2 %

 Increases in the value of Boeing =

                                                        = 1501.5728

The new DJIA level =

                                = 10171.80

2. When Cisco increases 3.2 %

Increases in the value of Cisco =

                                                        = 1.39104

Total value of the shares = 1490.664 + 1.39104

                                         = 1492.055

The new DJIA level =

                                = 10107.32

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