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A comparison of MA and RSI returns with exchange rate intervention. Group Members: Zhang Duo A0075433 Tang Wai Hoh A0075413 Fan Li A0075376. outline. Introduction of the paper Data & Trading Strategy Methodology & Empirical Results Work in Progress & Future Exploration.
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A comparison of MA and RSI returns with exchange rate intervention Group Members: Zhang Duo A0075433 Tang Wai Hoh A0075413 Fan Li A0075376
outline • Introduction of the paper • Data & Trading Strategy • Methodology & Empirical Results • Work in Progress & Future Exploration
Introduction of the Paper • TOPIC: A comparison of MA and RSI returns with exchange rate intervention • Authors: Thomas C. Shik and Terence Tai-Leung Chong • Structure: • Two Trading Strategies: MA & RSI • Six Currencies: AUD/USD, CHF/USD, DEM/USD, JPY/USD, BP/USD, EUR/USD • Three Panels: Panel A: All observations Panel B: Remove domestic & foreign interests Panel C: Remove factor of intervention
DATA of Our Research • Foreign Exchange Rates • Resource 1 : H.10 Federal Reserve Statistical Release (since 1971) http://www.federalreserve.gov/releases/h10/hist/default1989.htm • Resource 2: Yahoo Finance (since 27 Dec 2007) http://sg.finance.yahoo.com/q/hp?s=GBB • Interest Rates(Some) • Resource 3: Bloomberg (since 2001) • Intervention Data(Only One) • Resource 4: JPY/USD Intervention Data(Apr 1991-Mar 2001) http://www.mof.go.jp/english/feio/e034_133.htm • Risk-free Rate(Done) • Resource 5: H.15 Federal Reserve Statistical Release (since 1977) http://www.federalreserve.gov/releases/h15/data/Business_day/H15_TCMNOM_Y30.txt
ACF s for Exchange Rate Series • Serially Correlated possible to make profits by investigating its history Define: Regression: Serially Correlated!!
Trading Strategies MA RSI • Definition • Long the USD if • Short the USD if • Definition • Long the USD if • Short the USD if Note: Pt : Exchange rate at time t, N: Number of days.
Trading Strategies RSI in General Form ----Average of N days up prices ----Average of N days down prices RSI in the paper -SMA RSI in algoquant -EMA
Methodology & Empirical Result • Mean Annual Returns & Standard Deviation • Hypothesis Testing t-statistic • Sharpe Ratios
Mean Annual Returns • Window widths for the study are 10-, 20-, 50- and 150- days. • Daily returns: • Removing interest rate differentials: Note: rt* = foreign interest rate, rt is the domestic interest rate
Total Returns • Sum of daily returns: • Average return from time 0 to T: • Mean Annual Returns is computed by multiplying with the number of trading days.
Hypothesis Testing • Let μ and σ be the mean and standard deviation of the daily returns respectively. • Sample mean: • Hypothesis H0 : μ = 0 vs H1: μ ≠ 0 tested using. - Efficient market with no arbitrage has a mean zero. • S = sample standard deviation
Sharpe Ratios • be the mean annual return and be standard deviation. • Rfis the risk-free rate. measure of the excess return (or risk premium) per unit of risk in an investment asset or a trading strategy
Statistic terms in the Tables • Obs. : number of observations. • Mean : mean annual return in percentage. • Std (daily returns) : standard deviation of the daily returns. • t-stat : t-statistic value. • P-value : tail probability generated by the observed test statistic under the null hypothesis.
Work in Progress EUR/USD – 50-days window width
Work in Progress EUR/USD – 50-days window width
Work in Progress JYN/USD – 50-days window width
Work in Progress JYN/USD – 50-days window width
Work in Progress GBP/USD – 10-days window width
Work in Progress GBP/USD – 10-days window width
Current Challenges • Quotation data other than Yahoo Finance • How to store the data/dates at the crossover points and then to do the return analysis (mean, std, t-stat, P-value, Sharpe ratios) • Obstacles in getting information regarding government interventions and interest rate
Further Exploration • Simulate results under Panel A & C (Domestic/Foreign interest rates & GOV interventions) • Introducing other MA model (i.e. EMA) • Include transaction cost • Include two more bounds for RSI a) >70 – overbought - SELL b) <30 – oversold - BUY
RSI with 30, 50, 70 bounds Hit 70 from below: Sell Hit 50 from above: Sell Hit 50 from below: Buy Hit 30 from above: Buy