The New Pioneer closed-end fund has $520 million in securities, $5 million in liabilities, and 10 million

Question:

The New Pioneer closed-end fund has $520 million in securities, $5 million in liabilities, and 10 million shares outstanding. It trades at a 5 percent premium above its net asset value (NAV).
a. What is the net asset value of the fund?
b. What is the current price of the fund?
c. Why might a fund trade at a premium above its net asset value?