Answer:
The amount she would be saving during her working life is $1,089,64 and the deposit required for each year is $6,624.21
Explanation:
Solution
Given that:
The amount of income needed for retirement income = P×[1-(1÷(1+r)^n)]÷r
Now,
The Interest rate per annum =6.00%
The Number of years = 2
The Number of compoundings per annum = 1
The Interest rate per period ( r)=6.00%
The period per payment (P)=$ 95,000
The Amount required for retirement income = 95000*[1-(1/(1+6%)^95000]/6% =$1,089,643
Now,
Required deposit for every year (P)=FVA÷([(1+r)^n-1]÷r)
The Interest rate per annum = 10.00%
The Number of years= 30
The number payments per per annum =1 The Interest rate per period ( r)=10.00%
The Number of periods (n)=30
Thus,
The Future value of annuity (FVA) = $1,089,643
Hence the deposit required for each year is = 1089643/(((1+10%)^30-1)/10%)
= $6,624.21
