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psychomath
OK one small doubt here....While calculating the average, dont we have to divide by THE TOTAL NUMBER OF SHARES ie for 9 months it is 5 million and then it increases to 10, so the total number of shares is 15 million ? Or am i confusing myself badly somewhere :(

# of shares increased to 10 not by 10, so total shares by the end of the year is 10 not 15.

Or in another words: # of shares was 5 and then another 5 was issued thus total # of shares became 10 not 15.
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Aaahhh...Gotcha!....Damn my understanding and my bird brain...Thanks a ton Bunuel! Kudos!
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Hi Guys,

For this problem why we need to multiply 1.25 by 10 when the existing 5 million shares has already been accounted for in the first 9 months. So my doubt is for the last quarter we just need to consider just the additional 5 millions shares and multiply it by 1.25. Could you please clarify my doubt ?

Thanks,

harikris
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Hi Guys,

For this problem why we need to multiply 1.25 by 10 when the existing 5 million shares has already been accounted for in the first 9 months. So my doubt is for the last quarter we just need to consider just the additional 5 millions shares and multiply it by 1.25. Could you please clarify my doubt ?

Thanks,

harikris

We are told that in the fourth quarter, when there were 10,000,000 shares, earnings were $1.25 per share, so total earnings 1.25*10,000,000.

Also discussed here: m03-q27-74196.html
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psychomath
A corporation with 5,000,000 shares of publicly traded stock reported total earnings of $7.20 per share for the first 9 months of operation. If during the final quarter, the number of publicly listed shares was increased to 10,000,000, and fourth quarter earnings were reported at $1.25 per share, what are the average annual earnings per share based on the number of shares at the end of the year?

A. 1.75
B. 2.40
C. 3.15
D. 3.60
E. 4.85

Note that we are basing the average annual earnings per share on the number of shares at the end of the year.

Thus, when the number of shares was doubled, from 5,000,000 to 10,000,000, the per-share earnings from the first 9 months had to be halved; thus

(7.2/2) + 1.25 = 3.6 + 1.25 = 4.85.

Answer: E
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psychomath
A corporation with 5,000,000 shares of publicly traded stock reported total earnings of $7.20 per share for the first 9 months of operation. If during the final quarter, the number of publicly listed shares was increased to 10,000,000, and fourth quarter earnings were reported at $1.25 per share, what are the average annual earnings per share based on the number of shares at the end of the year?
A. 1.75
B. 2.40
C. 3.15
D. 3.60
E. 4.85

OA : I basically calculated the annual earnings by multiplying 7.20 with 5*10^6 which is 36 and multiplying 10*10^6 with 1.25 which is 12.5.
Now to find the average, we have to divide the total 48.5 with the total number of shares which is 15 million here. But the solution says divide the total rate i.e. 48.5 with the total outstanding shares which is 10 Million here. Can someone explain the solution for the problem.
TIA

Earnings for 9 months - \(5*7.2=36\);
Earnings for 4th quarter - \(10*1.25=12.5\);

Total earning for a year - \(36+12.5=48.5\);

The average annual earnings per share - \(\frac{48.5}{10}=4.85\).

Answer: E.

Note that # of shares increased to 10 not by 10, so total shares by the end of the year is 10 not 15.

Bunuel
Is this correct?
I did wt. avg for 9 month earnings and 3 month earnings.

Wt avg EPS= (7.2 x 5 x 3 + 1.25 x 10 )/(5x3+10)=121.5/25=4.86
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Bunuel
psychomath
A corporation with 5,000,000 shares of publicly traded stock reported total earnings of $7.20 per share for the first 9 months of operation. If during the final quarter, the number of publicly listed shares was increased to 10,000,000, and fourth quarter earnings were reported at $1.25 per share, what are the average annual earnings per share based on the number of shares at the end of the year?
A. 1.75
B. 2.40
C. 3.15
D. 3.60
E. 4.85

OA : I basically calculated the annual earnings by multiplying 7.20 with 5*10^6 which is 36 and multiplying 10*10^6 with 1.25 which is 12.5.
Now to find the average, we have to divide the total 48.5 with the total number of shares which is 15 million here. But the solution says divide the total rate i.e. 48.5 with the total outstanding shares which is 10 Million here. Can someone explain the solution for the problem.
TIA

Earnings for 9 months - \(5*7.2=36\);
Earnings for 4th quarter - \(10*1.25=12.5\);

Total earning for a year - \(36+12.5=48.5\);

The average annual earnings per share - \(\frac{48.5}{10}=4.85\).

Answer: E.

Note that # of shares increased to 10 not by 10, so total shares by the end of the year is 10 not 15.

Bunuel
Is this correct?
I did wt. avg for 9 month earnings and 3 month earnings.

Wt avg EPS= (7.2 x 5 x 3 + 1.25 x 10 )/(5x3+10)=121.5/25=4.86

5,000,000 shares earned $7.20 per share for the first 9 months of operation (not per month, not per quarter, during the entire 9 months period). So, you should not multiply by 3.
10,000,000 shares earned $1.25 per share for the next 3 months of operation (not per month, not per quarter, during the entire 3 months period).
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Bunuel why are we not considering earning for 4th quarter as 500000*1.25? as another 500000 is added to make 1000000 in total
Bunuel
psychomath
A corporation with 5,000,000 shares of publicly traded stock reported total earnings of $7.20 per share for the first 9 months of operation. If during the final quarter, the number of publicly listed shares was increased to 10,000,000, and fourth quarter earnings were reported at $1.25 per share, what are the average annual earnings per share based on the number of shares at the end of the year?
A. 1.75
B. 2.40
C. 3.15
D. 3.60
E. 4.85

OA : I basically calculated the annual earnings by multiplying 7.20 with 5*10^6 which is 36 and multiplying 10*10^6 with 1.25 which is 12.5.
Now to find the average, we have to divide the total 48.5 with the total number of shares which is 15 million here. But the solution says divide the total rate i.e. 48.5 with the total outstanding shares which is 10 Million here. Can someone explain the solution for the problem.
TIA

Earnings for 9 months - \(5*7.2=36\);
Earnings for 4th quarter - \(10*1.25=12.5\);

Total earning for a year - \(36+12.5=48.5\);

The average annual earnings per share - \(\frac{48.5}{10}=4.85\).

Answer: E.

Note that # of shares increased to 10 not by 10, so total shares by the end of the year is 10 not 15.
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shubhim20
Bunuel why are we not considering earning for 4th quarter as 500000*1.25? as another 500000 is added to make 1000000 in total
Bunuel
psychomath
A corporation with 5,000,000 shares of publicly traded stock reported total earnings of $7.20 per share for the first 9 months of operation. If during the final quarter, the number of publicly listed shares was increased to 10,000,000, and fourth quarter earnings were reported at $1.25 per share, what are the average annual earnings per share based on the number of shares at the end of the year?
A. 1.75
B. 2.40
C. 3.15
D. 3.60
E. 4.85

OA : I basically calculated the annual earnings by multiplying 7.20 with 5*10^6 which is 36 and multiplying 10*10^6 with 1.25 which is 12.5.
Now to find the average, we have to divide the total 48.5 with the total number of shares which is 15 million here. But the solution says divide the total rate i.e. 48.5 with the total outstanding shares which is 10 Million here. Can someone explain the solution for the problem.
TIA

Earnings for 9 months - \(5*7.2=36\);
Earnings for 4th quarter - \(10*1.25=12.5\);

Total earning for a year - \(36+12.5=48.5\);

The average annual earnings per share - \(\frac{48.5}{10}=4.85\).

Answer: E.

Note that # of shares increased to 10 not by 10, so total shares by the end of the year is 10 not 15.

This has been explained several times in this thread, so here it is again:

For the first 9 months, there were 5,000,000 shares. Each share earned $7.20 during this period.

Then the number of shares became 10,000,000, and each of those earned $1.25 in the fourth quarter.

Total earnings = 5 * 7.2 + 10 * 1.25 = 48.5 million

Average annual earnings per share = 48.5/10 = 4.85
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