This portfolio was started 2 years ago. What is the current value of the portfolio? - Weekly deposits of 50 into an account earning 1.5% compounded weekly - A 2500 investment averaging 3.25% compounded semi-annually

## Step 1: Calculate the total weekly deposits.<br />### There are 52 weeks in a year, so over 2 years there are $2 \times 52 = 104$ weeks. The total deposit is $104 \times \$50 = \$5200$.<br /><br />## Step 2: Calculate the future value of the weekly deposits.<br />### The weekly interest rate is $\frac{0.015}{52}$. The number of compounding periods is 104. Using the future value of an ordinary annuity formula: $FV = P \times \frac{((1 + r)^n - 1)}{r}$, where $P = 50$, $r = \frac{0.015}{52}$, and $n = 104$. $FV = 50 \times \frac{((1 + \frac{0.015}{52})^{104} - 1)}{\frac{0.015}{52}} \approx \$5278.87$<br /><br />## Step 3: Calculate the future value of the \$2500 investment.<br />### The semi-annual interest rate is $\frac{0.0325}{2}$. The number of compounding periods over 2 years is $2 \times 2 = 4$. Using the compound interest formula: $FV = PV(1 + r)^n$, where $PV = 2500$, $r = \frac{0.0325}{2}$, and $n = 4$. $FV = 2500(1 + \frac{0.0325}{2})^4 \approx \$2667.72$<br /><br />## Step 4: Calculate the total current value of the portfolio.<br />### The total current value is the sum of the future values of the weekly deposits and the initial investment: $\$5278.87 + \$2667.72 = \$7946.59$.