Answer:
The total required amount is $7,056.46
Explanation:
Given the following details:
You aim to accumulate enough savings to produce an annual cash flow of $55,000 for 25 years during retirement. How much should you save each year, assuming a return of 7.5 percent on your savings?
Final value = 55,000 * 25 = 1,375,000
Using the formula: FV = {A*[(1+i)^n-1]}/i
A represents the annual contribution.
To isolate A:
A = (FV*i)/{[(1+i)^n]-1}
A = (1,375,000*0.075)/[(1.075^38)-1]= $7,056.46
Answer:
The likelihood that neither of the stocks will rise is 0.14.
Explanation:
According to the Complement Rule, the combined probabilities of an event and its complement total 1.
Given the probabilities of Stock A or B increasing, to find the likelihood that neither will happen, we need to consider their complements.
The complement for Stock A =1-0.54=0.46
The complement for Stock B =1-0.68=0.32
To calculate the probability of both events not occurring, we multiply these complements.
The probability that neither of these two events occurs is 0.46 x 0.32 = 0.1472
