Calculate Mutual Fund Net Asset Value (NAV)

C

The fund's total assets are worth 500 * 58 + 600 * 63 + 1,000 * 37 = 103,800. Hence, the NAV equals 103,800/1,000 = $103.8

To calculate the Net Asset Value (NAV) of the mutual fund, we need to determine the total value of the fund's assets and divide it by the total number of shares outstanding.

Let's calculate the value of each stock:

Stock A: Number of shares = 500 Current price = $58 Value of Stock A = Number of shares * Current price = 500 * $58 = $29,000

Stock B: Number of shares = 600 Current price = $63 Value of Stock B = Number of shares * Current price = 600 * $63 = $37,800

Stock C: Number of shares = 1,000 Current price = $37 Value of Stock C = Number of shares * Current price = 1,000 * $37 = $37,000

Now, let's calculate the total value of the fund's assets by summing up the values of the individual stocks:

Total value of assets = Value of Stock A + Value of Stock B + Value of Stock C = $29,000 + $37,800 + $37,000 = $103,800

Next, we need to calculate the total number of shares outstanding. The mutual fund initially issued 1,000 shares, and there have been no further issuances or redemptions. Therefore, the total number of shares outstanding remains 1,000.

Finally, we can calculate the Net Asset Value (NAV) by dividing the total value of the fund's assets by the total number of shares outstanding:

NAV = Total value of assets / Total number of shares outstanding = $103,800 / 1,000 = $103.80

Therefore, the correct answer is not provided in the options. The NAV of the mutual fund is $103.80, which is not listed among the given choices (A, B, C, D).