Question

The​ All-State Mutual Fund has the following​ 5-year record of​ performance:
    2016   2015   2014   2013   2012
Net investment income   0.95   0.91   0.83   0.71   0.66
Dividends from net investment income   (0.93)   (0.85)   (0.87)   (0.71)   (0.60)
Net realized and unrealized gains (or losses) on security transactions   4.24   5.15   (2.11)   2.75   (1.06)
Distributions from realized gains   (1.01)   (1.09)   0.00   (1.03)   0.00
Net increase (decrease) in NAV   3.25   4.12   (2.15)   1.72   (1.00)
NAV at beginning of year   12.76   8.64   10.79   9.07   10.07
NAV at end of year   16.01   12.76   8.64   10.79   9.07

This​ no-load fund's​ 5-year ​(2012-2016​) average annual compound rate of return is ??%. ​(Round to two decimal​ places.)
This​ no-load fund's​ 3-year ​(2014-2016​) average annual compound rate of return is ??%. ​(Round to two decimal​ places.)
If an investor bought the fund in 2012 at ​$10.07 a share and sold it 5 years later​ (in 2016​) at ​1$6.01 ​, the total profit per share she would have made over the​ 5-year holding period is ​$??

Answer 1

For Average annual Compound growth rate (CAGR) for 5-year 2012-2016 ,

year	2012	2012	2013	2014	2015	2016
NAV at beginning	-10.7
Dividend		0.6	0.71	0.87	0.85	0.93
Capital gain		0	1.03	0	1.09	1.01
NAV at end						16.01
Net cash flow	-10.7	0.6	1.74	0.87	1.94	17.95
	Use of IRR () function
Calculating CAGR	24.19%

For Average annual Compound growth rate (CAGR) for 3-year 2014-2016 ,

year	2014	2014	2015	2016
NAV at beginning	-10.79
Dividend		0.87	0.85	0.93
Capital gain		0	1.09	1.01
NAV at end				16.01
Net cash flow	-10.79	0.87	1.94	17.95
	Use of IRR () function
Calculating CAGR	41.39%

Total profit in terms of dollar,

year	2014	2012	2013	2014	2015	2016
NAV at beginning	-10.79
Dividend		0.6	0.71	0.87	0.85	0.93
Capital gain		0	1.03	0	1.09	1.01
NAV at end						16.01
Net cash flow	-10.79	0.6	1.74	0.87	1.94	17.95
	Sum of cash flow for 5 year
Total return	12.31