(1 pt) Suppose that you open a mutual fund account with a deposit of 505 dollars. 5 months later, the fund balance is 595 dollars, and you withdraw 192 dollars. A year after the account was opened, your balance is X dollars. If the dollar weighted and time weighted rates of return were the same, what is the rate of return? (Assume simple interest for the dollar weighted calculation.) Answer = percent.
Can use excel as long as answer is correct
For the first 5 months, Holding period return HPY1= (595-505)/505 = 90/505 = 0.178218
For the second period of 7 months , Holding period return HPY2= (X-(595-192))/(595-192) =(X-403)/403
Time weighted return for the whole year = (1+HPY1)*(1+HPY) -1 = 1.178218*X/403 -1 =0.002924*X -1
Dollar weighted return (r) is given by the equation
-505+192/(1+r*5/12)+X/(1+r) = 0
As both Time weighted and Dollar weighted returns are same we get
-505 + 192/(0.002924*X*5/12+7/12) + X/(0.002924*X) = 0
192/(0.002924*X*5/12+7/12) = 162.958
(0.002924*X*5/12+7/12) = 1.178218
0.001218*X = 0.594884
X = 488.34
So the value of X is $488.34
and the rate of return = 0.002924*488.34-1 = 0.4277 = 42.77%
(1 pt) Suppose that you open a mutual fund account with a deposit of 505 dollars....
(1 point) Suppose that you open a mutual fund account with a deposit of 520 dollars. 3 months later, the fund balance is 620 dollars, and you withdraw 216 dollars. A year after the account was opened, your balance is X dollars. If the dollar weighted and time weighted rates of return were the same, what is the rate of return? (Assume simple interest for the dollar weighted calculation.) Answer = percent
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