Answer:
a. 5.18%;
b. 10.12%;
c. 6.32%;
d. 9.22%.
Explanation:
We apply the formula of Annual rate of return to calculate for the four cases.
The formula for calculating annual rate of return as below:
Annual rate of return =
-1 ;
So, for each of the case given, by applying the formula, the detailed calculations for each case will be:
+ For case a :
= 5.18%;
+ For case b:
= 10.12%;
+ For case c:
= 6.32%;
+ For case d:
= 9.22%.
Answer:
A) There is a 50% chance the game ends in a tie, 10% chance you win (and therefore a 40% chance you lose).
expected value = (50% x 20) + (10% x 50) + (40% x 0) = 10 + 5 + 0 = 15
B) There is a 50-50 chance of winning and there are no ties.
expected value = (50% x 50) + (50% x 0) + = 25 + 0 = 25
C) There is an 80% chance you lose and a 10% chance you win or tie.
expected value = (10% x 20) + (10% x 50) + (80% x 0) = 2 + 5 + 0 = 7
The expected value of an event is determined by adding up all the possible outcomes multiplied by their respective value.