Which of the following types of investment companies raise money by issuing a fixed number...

The description matches closed-end funds, making choice B correct. Closed-end investment companies raise capital by issuing a fixed number of shares, typically through an IPO (or subsequent offerings in some cases). After the initial issuance, investors generally buy and sell shares of the closed-end fund in the secondary market, most commonly on a stock exchange, at market prices determined by supply and demand. Closed-end funds are typically actively managed, though some may follow rules-based strategies.

This differs from open-end mutual funds (choice A), which continuously issue and redeem shares directly with investors at net asset value (NAV) (plus/minus applicable sales charges). Open-end funds do not have a fixed number of shares; the number of shares outstanding changes every day as investors purchase and redeem. Variable annuities (choice C) are insurance products with subaccounts that resemble mutual funds, but they are not investment companies that issue exchange-traded shares via an IPO. UITs (choice D) do issue redeemable units and have a defined portfolio, but they are not actively managed—the portfolio is generally fixed, and the UIT terminates on a stated date.

A key SIE concept embedded here is that closed-end funds often trade at a premium or discount to NAV, unlike open-end funds that transact at NAV. The exchange-traded nature also means investors may pay brokerage commissions and face bid-ask spreads, and their execution price depends on market trading—important distinctions in cost and liquidity compared to open-end funds.