MATHEMATICS (Probability )

2008-04-12 1:43 am
MATHEMATICS (Probability )

Suppose there is one million as the capital for any investment opportunity for
five years.

a) Peter suggested put all amount buy a share . According to the profession's
estimation, the share price had 60% probability to increase by 64% and 40%
probability to decrease by 46% after 5 years.

(i) Find the maximum profit and loss made the share

(ii) Find the expected percentage change in the share.
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Law of integral indices

(2‧5^n)^2 + 25^n OVER 5^n
更新1:

Another Question : Solve sin (30°-y) = cos50° for 0 ° < y < 301°

更新2:

Law of integral indices (2‧5^n)^2 + 25^n OVER 5^n 你都未simply晒.....

回答 (1)

2008-04-12 2:10 am
✔ 最佳答案
(a)(i)
maximum profit =1000000*(1+64%)-1000000=640000

maximum loss =1000000*(1-46%)-1000000=-460000

(ii)
expected percentage change in the share
=0.6*0.64+0.4*(-0.46)
=0.2
=20%

(2‧5^n)^2 + 25^n / 5^n
= (2‧5^n)^2 + 5^2n / 5^n
=(2‧5^n)^2 + 5^n
=4(5^2n)+5^n

Solve sin (30°-y) = cos50° for 0 ° &lt; y &lt; 301°

sin(90-x)=cosx

So 30-y=40 or 180-40=140 or -220

y=-10 or -110 or 250

So y=250


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