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Course 1 May 2000 Multiple Choice Exams - Society of Actuaries

Course 1 May 2000 Multiple Choice Exams - Society of Actuaries

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29. An investor buys one share <strong>of</strong> stock in an internet company for 100 . During the first<br />

four days he owns the stock, the share price changes as follows (measured relative to the<br />

prior day’s price):<br />

Day 1 Day 2 Day 3 Day 4<br />

up 30% down 15% unchanged down 10%<br />

If the pattern <strong>of</strong> relative price movements observed on the first four days is repeated<br />

indefinitely, how will the price <strong>of</strong> the share <strong>of</strong> stock behave in the long run?<br />

(A) It converges to 0.00 .<br />

(B) It converges to 99.45 .<br />

(C) It converges to 101.25 .<br />

(D)<br />

It oscillates between two finite values without converging.<br />

(E) It diverges to ‡ .<br />

<strong>May</strong> <strong>2000</strong> 31 <strong>Course</strong> 1

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