Final answer:
The original question about the net asset value of a fund cannot be answered due to insufficient information. Using a similar scenario, we can calculate how much more Alexx will have compared to Spenser after 30 years of investing $5,000 at different rates, due to the impact of a 0.25% retirement fund management fee.
Step-by-step explanation:
Calculation of Net Asset Value
The original question regarding the net asset value of a fund does not provide sufficient information to calculate the value and is therefore not answerable. However, we can discuss another related example from the provided reference information:
Both Alexx and Spenser invest $5,000 each in the same stock. Alexx invests directly and earns a 5% annual return, while Spenser goes through a retirement fund and has a 4.75% annual return after a 0.25% management fee. To calculate the difference in their investments' value after 30 years, we use the formula for compound interest:
Alexx's investment = P (1 + r/n)^(nt)
Spenser's investment = P (1 + r/n)^(nt)
Where:
P is the principal amount ($5,000)
r is the annual interest rate (5% for Alexx and 4.75% for Spenser)
n is the number of times interest is compounded per year (assuming 1 for simplicity)
t is the time the money is invested for (30 years)
After calculating the future value of both investments, we subtract Spenser's investment from Alexx's to find the difference:
Difference = Alexx's investment after 30 years - Spenser's investment after 30 years
This difference will show how much more Alexx will have than Spenser after 30 years due to the 0.25% lower fee that Spenser pays to the retirement fund.