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FRM Part I · FRM Exam Part I · Fund Management

A closed-end fund holds assets worth $240 million with liabilities of $20 million. It has 10 million shares outstanding, which trade on an exchange at $20.90. What is the premium or discount to NAV?

The fund trades at a 5.0% discount. NAV per share is ($240 million minus $20 million) divided by 10 million shares, or $22.00. The market price of $20.90 is $1.10 below NAV, which is 5.0% of NAV.

  1. A5.0% discountCorrect
  2. B5.0% premium
  3. C4.5% discount
  4. D9.5% premium

Explanation

NAV = (240 − 20)/10 = $22.00. Discount = (20.90 − 22.00)/22.00 = −5.0%. Using the market price as the base gives 5.26% in magnitude, and ignoring liabilities gives NAV $24, a 12.9% discount; neither matches.

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