## # A tibble: 22,677 x 8
## # Groups: symbol [3]
## symbol date open high low close volume adjusted
## <chr> <date> <dbl> <dbl> <dbl> <dbl> <dbl> <dbl>
## 1 ^IXIC 1989-11-07 447 449. 447. 449. 130550000 449.
## 2 ^IXIC 1989-11-08 452. 454. 450. 454. 137900000 454.
## 3 ^IXIC 1989-11-09 455. 455. 454. 454. 126790000 454.
## 4 ^IXIC 1989-11-10 455. 456. 455. 456. 109050000 456.
## 5 ^IXIC 1989-11-13 457. 457. 455. 456. 109200000 456.
## 6 ^IXIC 1989-11-14 456 456. 453. 454 123770000 454
## 7 ^IXIC 1989-11-15 455. 456. 453. 456. 133010000 456.
## 8 ^IXIC 1989-11-16 456. 457. 454. 455. 146640000 455.
## 9 ^IXIC 1989-11-17 455 457. 455. 457. 121390000 457.
## 10 ^IXIC 1989-11-20 457. 458. 454 456. 114920000 456.
## # … with 22,667 more rows
## # A tibble: 93 x 3
## # Groups: symbol [3]
## symbol date yearly.returns
## <chr> <date> <dbl>
## 1 ^IXIC 1989-12-29 0.0120
## 2 ^IXIC 1990-12-31 -0.178
## 3 ^IXIC 1991-12-31 0.569
## 4 ^IXIC 1992-12-31 0.155
## 5 ^IXIC 1993-12-31 0.147
## 6 ^IXIC 1994-12-30 -0.0320
## 7 ^IXIC 1995-12-29 0.399
## 8 ^IXIC 1996-12-31 0.227
## 9 ^IXIC 1997-12-31 0.216
## 10 ^IXIC 1998-12-31 0.396
## # … with 83 more rows
Microsoft has the highest expected yearly return.
## # A tibble: 3 x 2
## symbol returns_avg
## <chr> <dbl>
## 1 ^IXIC 0.134
## 2 MSFT 0.284
## 3 WMT 0.159
Microsoft is the riskiest in terms of the standard decviation because its standard deviatio is higher than both Walmart and NASDAQ Index.
## # A tibble: 3 x 2
## # Groups: symbol [3]
## symbol sd.1
## <chr> <dbl>
## 1 ^IXIC 0.277
## 2 MSFT 0.408
## 3 WMT 0.326
The standard deviation under estimates the level of risk of the three stocks. Based on skewness and kurtosis Walmart exceeds zero meaning a large return is likely to happen.
## # A tibble: 3 x 2
## # Groups: symbol [3]
## symbol skewness.1
## <chr> <dbl>
## 1 ^IXIC 0.181
## 2 MSFT 0.228
## 3 WMT 1.36
## # A tibble: 3 x 2
## # Groups: symbol [3]
## symbol kurtosis.1
## <chr> <dbl>
## 1 ^IXIC 0.362
## 2 MSFT 0.249
## 3 WMT 1.35
Microsoft has the greatest downside risk in terms of VaR because it has a higher negative number. The value at risk is greater than the other two stocks meaning the risk of loss of investment is much likely to happen to Microsoft.
## [,1] [,2] [,3]
## symbol "^IXIC" "MSFT" "WMT"
## VaR "-0.4842999" "-0.5991879" "-0.1414682"
Out of the three stocks I would choose Walamrt because it has the higest sharp ratio. The higher a funds sharp ratio, the better the returns. Also meaning a greater expected return per unit of risk.
## # A tibble: 3 x 4
## # Groups: symbol [3]
## symbol `ESSharpe(Rf=2%,p=99… `StdDevSharpe(Rf=2%,p=… `VaRSharpe(Rf=2%,p=…
## <chr> <dbl> <dbl> <dbl>
## 1 ^IXIC 0.196 0.410 0.235
## 2 MSFT 0.373 0.646 0.440
## 3 WMT 0.139 0.428 0.985
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