我们有以下函数来计算每日一系列价格的月收益:
PricesRet = diff(Prices)/lag(Prices,k=-1)
tail(PricesRet)
# Monthly simple returns
MonRet = aggregate(PricesRet+1, as.yearmon, prod)-1
tail(MonRet)
问题是它返回了错误的值,例如 2013 年 2 月的简单返回,该函数返回 -0.003517301,而它应该是 -0.01304773。
为什么会这样?
以下是最新的价格观察:
> tail(Prices,30)
Prices
2013-01-22 165.5086
2013-01-23 165.2842
2013-01-24 168.4845
2013-01-25 170.6041
2013-01-28 169.7373
2013-01-29 169.8724
2013-01-30 170.6554
2013-01-31 170.7210
2013-02-01 173.8043
2013-02-04 172.2145
2013-02-05 172.8400
2013-02-06 172.8333
2013-02-07 171.3586
2013-02-08 170.5602
2013-02-11 171.2172
2013-02-12 171.4126
2013-02-13 171.8687
2013-02-14 170.7955
2013-02-15 171.2848
2013-02-19 170.9482
2013-02-20 171.6355
2013-02-21 170.0300
2013-02-22 169.9319
2013-02-25 170.9035
2013-02-26 168.6822
2013-02-27 168.5180
2013-02-28 168.4935
2013-03-01 169.6546
2013-03-04 169.3076
2013-03-05 169.0579
以下是价格回报:
> tail(PricesRet,50)
PricesRet
2012-12-18 0.0055865274
2012-12-19 -0.0015461900
2012-12-20 -0.0076140194
2012-12-23 0.0032656346
2012-12-26 0.0147750923
2012-12-27 0.0013482760
2012-12-30 -0.0004768131
2013-01-01 0.0128908541
2013-01-02 -0.0047646818
2013-01-03 0.0103372029
2013-01-06 -0.0024547278
2013-01-07 -0.0076920352
2013-01-08 0.0064368720
2013-01-09 0.0119663301
2013-01-10 0.0153828814
2013-01-13 0.0050590540
2013-01-14 -0.0053324785
2013-01-15 -0.0027043105
2013-01-16 0.0118840383
2013-01-17 -0.0005876459
2013-01-21 -0.0145541598
2013-01-22 -0.0013555548
2013-01-23 0.0193624621
2013-01-24 0.0125802978
2013-01-27 -0.0050807744
2013-01-28 0.0007959058
2013-01-29 0.0046096266
2013-01-30 0.0003844082
2013-01-31 0.0180603867
2013-02-03 -0.0091473127
2013-02-04 0.0036322298
2013-02-05 -0.0000390941
2013-02-06 -0.0085320734
2013-02-07 -0.0046591956
2013-02-10 0.0038517581
2013-02-11 0.0011412046
2013-02-12 0.0026607502
2013-02-13 -0.0062440496
2013-02-14 0.0028645616
2013-02-18 -0.0019651341
2013-02-19 0.0040206637
2013-02-20 -0.0093543648
2013-02-21 -0.0005764665
2013-02-24 0.0057176118
2013-02-25 -0.0129979321
2013-02-26 -0.0009730782
2013-02-27 -0.0001453191
2013-02-28 0.0068911863
2013-03-03 -0.0020455332
2013-03-04 -0.0014747845
该函数的结果是:
> tail(data.frame(MonRet))
MonRet
ott 2012 -0.000848156
nov 2012 0.009833881
dic 2012 0.033406884
gen 2013 0.087822700
feb 2013 -0.023875638
mar 2013 -0.003517301