I basically konw the answer but I also need explanations on why the answer is correct. If a question requires a numerical answer, provide a formula that helps to solve it.

Relationships and illustrated Fundamental Problems 1. An increase in securities prices La mutual fund's net asset value. 2. An increase in a mutual fund's load fee the fund's net asset value. 3. An increase in a mutual fund's 12b-1 fees the fund's load fees. 4. An increase in a mutual fund's 12b-1 fees or its load fee the investor's return. 5. A decrease in a mutual fund's exit fees an investor's return. 6. An increase in the price of a stock the firm's market capitalization. 7. An increase in capital gains tax rates mutual funds returns. 8. Capital gains distributions a mutual fund's net asset value. 9. Long-term capital gains distributions from a mutual fund an investor's taxes compared to short-term capital gains distributions. 10. An increase in a stock's beta the required return. 11. Based on the Jensen measure of performance, an increase in a mutual fund's alpha indi- cates performance. 12. An increase in the standard deviation of a fund's return the return. 13. A decrease in the variability of a fund's return the standard deviation of the return. 14. An increase in the standard deviation of a fund's return the Sharpe index and indicates that risk Fundamental Problems with Worked Solutions 1. If a mutual fund has $165 million in assets, $10 million in accrued liabilities, and 2.5 million shares outstanding, what is the net asset value (NAV) of a share? 2. You purchase a mutual fund for $17.23. The fund's NAV is $17.00. (The load fee was $0.23.) The NAV subsequently rises to $21.56 and you redeem the shares. What is the percentage return on your investment? 3. You purchase a no-load mutual fund for its NAV of $17.00. The fund distributes $2.13 per share and the NAV rises to $21.56 at which time you redeem the shares. What is the percentage return on your investment? 4. A mutual fund generates a 10.8 percent return. During the same period, the market rose by 8.8 percent. If the risk-free rate was 2 percent and the fund had a beta of 1.2, did the fund outperform the market? 5. A mutual fund generates a 10.8 percent return. During the same period, the market rose by 8.8 percent, and the risk-free rate was 2 percent. The standard deviations of the market return and the fund's return were 20 and 25 percent, respectively. The fund's beta was 1.2. Did the fund outperform the market based on the Sharpe and Treynor indexes