13.2 Pricing Mutual Fund Units: NAVPS & Forward Pricing

Because mutual fund units are bought from and sold back to the fund itself, their price comes from the value of the portfolio rather than from trading on an exchange. This section shows how net asset value per unit is calculated, how purchases and redemptions affect it, and why orders are filled at the next calculated price.

1. Pricing Mechanics: Net Asset Value Per Share (NAVPS)

Because open-end mutual funds issue and redeem units directly with the public, the transaction price is anchored strictly to the underlying intrinsic value of the portfolio. This fundamental metric is known as the Net Asset Value Per Share (NAVPS) or Net Asset Value Per Unit (NAVPU).

The NAVPS Mathematical Formula

$\text{NAVPS} = \frac{\text{Total Portfolio Assets} - \text{Total Fund Liabilities}}{\text{Total Number of Units Outstanding}}$

Where:

• Total Portfolio Assets equals: $\text{Total Assets} = \text{Market Value of Securities} + \text{Cash and Equivalents} + \text{Dividends/Interest Receivable}$
• Total Fund Liabilities equals: $\text{Total Liabilities} = \text{Accrued Management Fees} + \text{Accrued Operating Costs} + \text{Unsettled Security Trades} + \text{Taxes Payable}$

Net Asset Value Per Share (NAVPS) Accounting Framework:

  +───────────────────────────────────────────────────────────+
  │                      TOTAL ASSETS                         │
  │  • Secondary Market Value of Securities Portfolio         │
  │  • Cash balances & Short-term Money Market instruments    │
  │  • Accrued Interest on bonds (earned but unpaid)          │
  │  • Dividends Receivable (shares trading ex-dividend)      │
  +───────────────────────────────────────────────────────────+
                                ─
  +───────────────────────────────────────────────────────────+
  │                    TOTAL LIABILITIES                      │
  │  • Accrued Management Fees payable to IFM                 │
  │  • Accrued Audit, Custody, Legal & Transfer Agency fees   │
  │  • Harmonized Sales Tax (HST) payable                     │
  │  • Amounts payable for unsettled portfolio trades         │
  +───────────────────────────────────────────────────────────+
                                ║
  +───────────────────────────────────────────────────────────+
  │                     NET ASSET VALUE                       │
  │                   (Net Fund Equity)                       │
  +───────────────────────────────────────────────────────────+
                                ÷
  [ Total Number of Outstanding Units Held by All Investors ]
                                ║
  +───────────────────────────────────────────────────────────+
  │               NET ASSET VALUE PER SHARE (NAVPS)           │
  +───────────────────────────────────────────────────────────+

Comprehensive Worked Numeric Calculation: Daily Valuation & Capital Flows

To see how asset price fluctuations and unitholder transactions impact the fund's capital base, consider the following multi-stage scenario for the Maple Leaf Canadian Equity Fund:

Stage 1: Establishing Baseline Closing NAVPS (Day 1)

At the close of trading on Monday, the fund's accounting records reveal:

• Market value of equity portfolio: $382,500,000
• Cash and short-term T-bills: $14,200,000
• Accrued dividends receivable: $1,300,000
• Total accrued management, custodial, and audit liabilities: $3,000,000
• Total units currently outstanding: 20,000,000 units

$\text{Total Assets} = \$382,500,000 + \$14,200,000 + \$1,300,000 = \$398,000,000$ $\text{Net Asset Value (NAV)} = \$398,000,000 - \$3,000,000 = \$395,000,000$ $\text{NAVPS} = \frac{\$395,000,000}{20,000,000 \text{ units}} = \$19.7500$

The calculated NAVPS for Monday is $19.75.

Stage 2: Processing Investor Subscriptions and Redemptions (Day 2 Morning)

During Tuesday, the transfer agent receives:

• New purchase orders (subscriptions): $3,950,000
• Redemption orders: $1,975,000

Because these orders are executed at Monday's closing NAVPS of $19.75:

• New units created: $3,950,000 / $19.75 = +200,000 units
• Units redeemed and cancelled: $1,975,000 / $19.75 = -100,000 units
• Net change in units: $+100,000 \text{ units}$
• New total outstanding units: $20,000,000 + 100,000 = 20,100,000 \text{ units}$
• Net cash inflow added to fund: $3,950,000 - $1,975,000 = +$1,975,000

Notice that issuing or redeeming units at NAVPS does not alter the NAVPS itself. The fund's net assets increase by $1,975,000 (from $395,000,000 to $396,975,000), and units increase proportionally to 20,100,000:
$\frac{\$396,975,000}{20,100,000 \text{ units}} = \$19.7500$

Stage 3: Secondary Market Revaluation at Tuesday Close

Throughout Tuesday, the Canadian equity markets surge, while daily management fees accrue:

• Market value of equity portfolio rises to: $391,400,000
• Cash balance (including net inflows from Day 2): $16,175,000
• Accrued receivables: $1,325,000
• Accrued liabilities (including daily fee accruals): $3,030,000
• Outstanding units: 20,100,000 units

$\text{New Total Assets} = \$391,400,000 + \$16,175,000 + \$1,325,000 = \$408,900,000$ $\text{New Net Asset Value} = \$408,900,000 - \$3,030,000 = \$405,870,000$ $\text{Tuesday NAVPS} = \frac{\$405,870,000}{20,100,000 \text{ units}} = \$20.1925 \approx \$20.19$

The fund's NAVPS rose from $19.75 to $20.19 (+2.23%), directly reflecting the secondary market capital appreciation of the underlying stock holdings.

---

2. The Forward Pricing Rule and Valuation Timing

A critical regulatory standard governing Canadian mutual funds is the Forward Pricing Rule.

The Canadian Forward Pricing Timeline:

Trading Day Begins             Daily Valuation Cut-off             TSX Closes & NAVPS Calculated
   9:30 AM ET                         4:00 PM ET                             4:00 PM ET
       ├──────────────────────────────────┼──────────────────────────────────────┤
       │                                  │                                      │
  Orders placed here receive         Orders placed here receive             NAVPS calculated using
  TODAY'S closing NAVPS             TOMORROW'S closing NAVPS               official 4:00 PM prices
  (Price unknown at order entry)    (Price unknown at order entry)          (Published in evening)

Core Mechanics of Forward Pricing

Under Canadian securities law, investors do not trade mutual fund units at a known, historical, or "stale" price. Instead, all purchase and redemption orders are transacted at an unknown future price determined at the next valuation calculation:

1. The Daily Valuation Cut-Off Time: For the vast majority of Canadian mutual funds, the daily valuation cut-off time is set at 4:00 PM Eastern Time (ET), exactly synchronizing with the closing bell of the Toronto Stock Exchange.
2. Orders Received Prior to 4:00 PM ET: If an investor's purchase, redemption, or switch order is received by the fund's distributor and recorded before the 4:00 PM ET cut-off, the order is processed at the NAVPS calculated at the 4:00 PM ET close of that same business day.
3. Orders Received After 4:00 PM ET: If an order is submitted at 4:01 PM ET or later, or over the weekend, the order is stamped for the following business day and processed at the closing NAVPS calculated at 4:00 PM ET on that subsequent business day.

Regulatory Rationale: Eliminating Stale-Price Arbitrage

The forward pricing rule is a foundational investor protection safeguard designed to prevent market timing and late trading arbitrage:

• In the absence of forward pricing, an opportunistic trader monitoring European or Asian market rallies, or reacting to breaking corporate news after 4:00 PM, could place an order at a "stale" prior-day NAVPS, locking in riskless profits at the expense of existing unitholders.
• By executing orders strictly at the next forward NAVPS—which cannot be known when the trade ticket is entered—the rule ensures complete equity among all participants and prevents dilution of long-term unitholders' wealth.