. A. You invest $3,000 annually in a mutual fund that earns 10 percent annually,
ID: 2901940 • Letter: #
Question
. A. You invest $3,000 annually in a mutual fund that earns 10 percent annually, and you reinvest all distributions. How much will you have in the account at the end of 20 years?
B. You invest $3,000 annually in a mutual fund with a 5 percent load fee so that only $2,850 is actually invested in the fund. The fund earns 10 percent annually, and you reinvest all distributions. How much will you have in the account at the end of 20 years? (Assume that all distributions are not subject to the load fee.)
C. You invest $3,000 annually in a no-load mutual fund that charges 12b-1 fees of 1 percent. The fund earns 10 percent annually before fees, and you reinvest all distributions. How much will you have in the account at the end of 20 years?
D. You invest $3,000 annually in a no-load mutual fund that has a 5 percent exit fee. The fund earns 10 percent annually before fees, and you reinvest all distributions. How much will you have in the account at the end of 20 years?
(PLEASE SHOW ALL WORK. NO COPY AND PASTING AND NO EXCEL ATTACHMENTS PLEASE.)
Explanation / Answer
we have to calculate worth of 3000$ invested in each year after 20 yrs
which is eqaul to
10 % =0.1 is the rate
3000*(1.1)^20 +3000*(1.1)^19+3000*(1.1)^18 +......+3000*(1.1)
=3000 * [(1.1)*(1.1^20 -1)/(1.1-1)] =189007.5
.............
B.with load fees of 5% actual investment reduces to 2850
hence as done in A part
worth at the end of 20 years =2850 * [(1.1)*(1.1^20 -1)/(1.1-1)] =179557.125
C. due to the 1 % rate after the interest ,the interest rate actually reduces to 9% ie 0.09
hence worth at the end of 20 yrs =3000 * [(1.09)*(1.09^20 -1)/(1.09-1)] =167293.6
.............
D 5 percent exit fees which wil have to pay at the end
hence from part A we have calculated worth at the end of 20 yrs which is =189007.5
and 5 % rate = 0.05*189007.5 =9450.4
hence net worth =189007.5-9450.4 =179557.12
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