Question

Difficulty: Very hardInvestment Companies and Managed Funds

An open-end growth fund begins the trading day with total portfolio assets of $120,000,000\$120,000,000, total liabilities of $8,000,000\$8,000,000, and 5,000,0005,000,000 shares outstanding. Before the close of trading, the fund experiences the following financial updates:
- Portfolio securities appreciate in market value by $4,000,000\$4,000,000.
- The fund receives $1,500,000\$1,500,000 in cash dividend income from its portfolio investments.
- Investment advisory fees and operating expenses of $500,000\$500,000 are accrued as fund liabilities.

A retail investor places an order to purchase Class A shares of the fund prior to the 4:00 PM EST market close. The fund assesses a front-end sales load of 5.00%5.00\%. Based on forward pricing principles, what is the Public Offering Price (POP) per share that the investor will pay? (Express your answer in dollars rounded to two decimal places.)

Answer: 24.63 $

Answer

The Public Offering Price (POP) per share is $24.63.
To determine the Public Offering Price (POP) per share, first determine the fund's end-of-day Net Asset Value (NAV). Total assets equal $120,000,000+$4,000,000+$1,500,000=$125,500,000\$120,000,000 + \$4,000,000 + \$1,500,000 = \$125,500,000. Total liabilities equal $8,000,000+$500,000=$8,500,000\$8,000,000 + \$500,000 = \$8,500,000. Net assets equal $125,500,000$8,500,000=$117,000,000\$125,500,000 - \$8,500,000 = \$117,000,000. Dividing net assets by 5,000,0005,000,000 shares outstanding yields an NAV per share of $23.40\$23.40. The Public Offering Price is calculated using the formula POP = NAV / (1 - Sales Charge %). Substituting $23.40/(10.05)=$23.40/0.95=$24.63157...\$23.40 / (1 - 0.05) = \$23.40 / 0.95 = \$24.63157..., which rounds to $24.63\$24.63.

Step-by-Step Solution

1
Calculate total end-of-day portfolio assets
$125,500,000
Add the initial assets (120,000,000),portfoliomarketappreciation(120,000,000), portfolio market appreciation ( 4,000,000), and cash dividends received ($1,500,000).
2
Calculate total end-of-day portfolio liabilities
$8,500,000
Add initial liabilities (8,000,000)andnewlyaccruedoperatingexpenses/advisoryfees(8,000,000) and newly accrued operating expenses/advisory fees ( 500,000).
3
Compute Net Asset Value (NAV) per share
$23.40 per share
Subtract total liabilities from total assets ($117,000,000) and divide by the 5,000,000 shares outstanding.
4
Compute Public Offering Price (POP) per share
$24.63 per share
Apply the FINRA formula POP = NAV / (1 - Sales Charge %) because sales charges are expressed as a percentage of the offering price, not the NAV.

Key Concept

Forward pricing NAV calculation and Public Offering Price (POP) formula for Class A open-end fund shares.
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