Assume that you expect to hold a $20,000 investment for one year. it is forecasted to have a year end value of $21,000 with a 30% probability; a year end value of $24,000 with a 45% probability; and a year end value of $30,000 with a 25% probability. what is the standard deviation of the holding period return for this investment?

$3,762.98

Step-by-step explanation:

Let's compute first the expectancy E (the expected value) of the investment:

E = 30% of 21,000 + 45% of 24,000 + 25% of 30,000 =

0.3*21,000 + 0.45*24,000 + 0.25*30,000 = $24,600

The standard deviation s is

When replacing the expectancy in this formula, we get:

here you hope this .

step-by-step explanation:

hypotenuse = √(15² + 8²)

=  √(225 +64)

=  √(289) = 17

sin(x) = cos(y) = 8/17

they are identical so long as you are doing the sine of one angle and the cosine of the only other angle that isn't the right angle.

if you was gonna solve for a, a is a   < -12