Quant Buffet放轻松,别过度思虑

外汇价值 v3 – 实际汇率水平

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学术论文

Currency Value Strategies

作者外汇市场中的价值策略是否有利可图? [点击查看论文]

机构
  • NZUniversity of Otago
  • ?University of Otago - Department of Accountancy and Finance

策略概要

该策略以美元为目标,交易39种货币对,使用当前名义汇率与实际汇率的比率作为价值指标。实际汇率纳入了名义汇率,并根据本地与美国消费品价格水平的比率进行调整。每周,货币根据该比率从最被低估到最被高估进行排名。投资者做多前20%(最被低估的),做空后20%(最被高估的)。投资组合等权重,并每周进行再平衡,利用估值差异优化回报。

II. 策略合理性

实际汇率水平是货币市场中衡量基本价值的常用指标。理论认为,国家之间实际汇率的差异应该在长期内消除;因此,实际汇率低于1的货币可能被视为“被低估”,而高于1的货币则被视为“被高估”。

回测表现

波动率9.53%
夏普比率0.73
索提诺比率-0.534
胜率51%

完整 Python 代码

from AlgorithmImports import *
import data_tools
from typing import Dict, List
from dateutil.relativedelta import relativedelta
class FXValuev3RealExchangeRateLevels(QCAlgorithm):
def Initialize(self):
self.SetStartDate(2000, 1, 1)
self.SetCash(100000)

self.leverage:int = 3
self.selected_currencies:int = 3 # We select these many of forex futures for long and short each rebalance.

# Currency future symbol and PPP yearly symbol.
self.symbols:Dict[str, str] = {
    "CME_AD1" : "AUS_PPP", # Australian Dollar Futures, Continuous Contract #1
    "CME_BP1" : "GBR_PPP", # British Pound Futures, Continuous Contract #1
    "CME_CD1" : "CAN_PPP", # Canadian Dollar Futures, Continuous Contract #1
    "CME_EC1" : "DEU_PPP", # Euro FX Futures, Continuous Contract #1
    "CME_JY1" : "JPN_PPP", # Japanese Yen Futures, Continuous Contract #1
    "CME_NE1" : "NZL_PPP", # New Zealand Dollar Futures, Continuous Contract #1
    "CME_SF1" : "CHE_PPP"  # Swiss Franc Futures, Continuous Contract #1
}

self.last_ppp:Dict[str, Union[None, str]] = {
    "AUS_PPP" : None,
    "GBR_PPP" : None,
    "CAN_PPP" : None,
    "DEU_PPP" : None,
    "JPN_PPP" : None,
    "NZL_PPP" : None,
    "CHE_PPP" : None,
    "USA_PPP" : None
}

for symbol, ppp_symbol in self.symbols.items():
    data = self.AddData(data_tools.QuantpediaFutures, symbol, Resolution.Daily)
    data.SetFeeModel(data_tools.CustomFeeModel())
    data.SetLeverage(self.leverage)
    
    # PPP quandl data.
    self.AddData(data_tools.PPPData, ppp_symbol, Resolution.Daily)
    
self.AddData(data_tools.PPPData, 'USA_PPP', Resolution.Daily).Symbol

self.selection_flag:bool = False
self.Settings.MinimumOrderMarginPortfolioPercentage = 0.
self.Schedule.On(self.DateRules.WeekStart('CME_AD1'), self.TimeRules.At(0, 0), self.Selection)
def OnData(self, data: Slice) -> None:
ppp_last_update_date:Dict[str, datetime.date] = data_tools.PPPData.get_last_update_date()
future_last_update_date:Dict[str, datetime.date] = data_tools.QuantpediaFutures.get_last_update_date()
# Store PPP values, when they are available.
for ppp_symbol, _ in self.last_ppp.items():
    if ppp_symbol in data and data[ppp_symbol]:
        # Only last PPP for each country is stored.
        self.last_ppp[ppp_symbol] = data[ppp_symbol].Value

if not self.selection_flag:
    return
self.selection_flag = False

exchange_ratio:Dict[str, float] = {}
symbols_to_delete:List[str] = []

for symbol, ppp_symbol in self.symbols.items():
    # data is still coming
    if self.Securities[symbol].GetLastData() and self.Time.date() > future_last_update_date[symbol] \
        or self.Securities[ppp_symbol].GetLastData() and self.Time.date() > ppp_last_update_date[ppp_symbol] + relativedelta(months=12):
        symbols_to_delete.append(symbol)
        continue
    # Check if all data are ready for calculation
    if symbol in data and data[symbol] and self.last_ppp[ppp_symbol] and self.last_ppp['USA_PPP']:
        
        # real exchange rate = forex future price * (forex future PPP / USA PPP)
        real_exchange_rate:float = data[symbol].Value * (self.last_ppp[ppp_symbol] / self.last_ppp['USA_PPP'])
        nominal_exchange_rate:float = data[symbol].Value
            
        exchange_ratio[symbol] = nominal_exchange_rate / real_exchange_rate
if len(symbols_to_delete) != 0:
    [self.symbols.pop(symbol) for symbol in symbols_to_delete]
# currency with the highest (lowest) past 5-year return is considered most overvalued (undervalued)
sorted_by_ratio:List[str] = [x[0] for x in sorted(exchange_ratio.items(), key=lambda item: item[1])]
# Investor ranks all currencies from the most undervalued to the most overvalued and goes long top 20% (the most undervalued) currencies and
# goes short 20% (the most overvalued) currencies.

# Go long self.selected_currencies with the lowest ratio
long:List[str] = sorted_by_ratio[:self.selected_currencies]

# Go short self.selected_currencies with the highest ratio
short:List[str] = sorted_by_ratio[-self.selected_currencies:]

# Trade execution
invested:List[str] = [x.Key.Value for x in self.Portfolio if x.Value.Invested]
for symbol in invested:
    if symbol not in long + short:
        self.Liquidate(symbol)
        
for i, portfolio in enumerate([long, short]):
    for symbol in portfolio:
        if symbol in data and data[symbol]:
            self.SetHoldings(symbol, ((-1) ** i) / self.selected_currencies) 

def Selection(self) -> None:
self.selection_flag = True