Over the last nine years, you have earned the following returns on the NZX Year Return (ending in March) 2013-2014 17.45% 2014-2015 15.17% 2015-2016 17.26% 2016-2017 7.94% 2017-2018 16.92% 2018-2019 19.54% 2019-2020 0.36% 2020 2021 28.93% 2021 2022 -5.17% You have also collected the level of the CPI over the same period: Level 958 972 975 979 1000 1011 Date March 2013 March 2014 March 2015 March 2016 March 2017 March 2018 March 2019 1026 March 2020 1052 March 2021 1068 March 2022 1142 (a) For each tax year, calculate the inflation rate. (b) Now calculate a real rate of return for the NZX50 (use the full for- mula, not the approximation) for each year. (c) What is the mean nominal return for the NZX50? What is the mean real return? (d) What is the nominal volatility for the NZX50? What is the real volatility of the NZX50? (e) Suppose New Zealand had a 33% tax levied on capital gains and all dividends. Repeat your analysis, calculating after-tax mean real and nominal returns, along with real and nominal after-tax volatilities.

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2. Over the last nine years, you have earned the following returns on the
NZX
Year
(ending in March)
2013-2014
17.45%
2014-2015 15.17%
2015-2016 17.26%
2016-2017 7.94%
2017-2018 16.92%
2018-2019 19.54%
0.36%
2019-2020
2020-2021 28.93%
2021-2022
-5.17%
Return
You have also collected the level of the CPI over the same period:
Date
March 2013
March 2014
March 2015
March 2016
March 2017
March 2018
March 2019
March 2020
March 2021
March 2022
Level
958
972
975
979
1000
1011
1026
1052
1068
1142
(a) For each tax year, calculate the inflation rate.
(b) Now calculate a real rate of return for the NZX50 (use the full for-
mula, not the approximation) for each year.
(c) What is the mean nominal return for the NZX50? What is the mean
real return?
(d) What is the nominal volatility for the NZX50? What is the real
volatility of the NZX50?
(e) Suppose New Zealand had a 33% tax levied on capital gains and all
dividends. Repeat your analysis, calculating after-tax mean real and
nominal returns, along with real and nominal after-tax volatilities.
Transcribed Image Text:2. Over the last nine years, you have earned the following returns on the NZX Year (ending in March) 2013-2014 17.45% 2014-2015 15.17% 2015-2016 17.26% 2016-2017 7.94% 2017-2018 16.92% 2018-2019 19.54% 0.36% 2019-2020 2020-2021 28.93% 2021-2022 -5.17% Return You have also collected the level of the CPI over the same period: Date March 2013 March 2014 March 2015 March 2016 March 2017 March 2018 March 2019 March 2020 March 2021 March 2022 Level 958 972 975 979 1000 1011 1026 1052 1068 1142 (a) For each tax year, calculate the inflation rate. (b) Now calculate a real rate of return for the NZX50 (use the full for- mula, not the approximation) for each year. (c) What is the mean nominal return for the NZX50? What is the mean real return? (d) What is the nominal volatility for the NZX50? What is the real volatility of the NZX50? (e) Suppose New Zealand had a 33% tax levied on capital gains and all dividends. Repeat your analysis, calculating after-tax mean real and nominal returns, along with real and nominal after-tax volatilities.
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