Response Group Members Family Name Given Name Student ID Ent

Responsegroup Membersfamily Namegiven Namestudent Id Enter Your Respo

Response group Members family Name given Name student Id. Enter your response here. Alter the size of the box, if required. Please clearly reference any quantitative work done elsewhere in the workbook. Returns HPRs TSX MSCI USA Unhedged Hedged Date in C$ In US$ US$ US$ 1/31/..../28/..../29/02 0..../30/..../31/02 0..../28/..../31/..../30/02 0..../30/..../31/02 0..../29/02 0..../31/02 0..../31/..../28/..../31/..../30/03 0..../30/03 0..../30/03 0..../31/03 0..../29/03 0..../30/..../31/03 0..../28/03 0..../31/03 0..../30/04 0..../27/04 0..../31/..../30/..../31/04 0..../30/04 0..../30/..../31/..../30/04 0..../29/04 0..../30/04 0..../31/04 0..../31/..../28/05 0.../31/..../29/..../31/05 0..../30/05 0..../29/05 0..../31/05 0..../30/05 0..../31/..../30/05 0..../30/05 0..../31/06 0..../28/..../31/06 0..../28/06 0..../31/..../30/..../31/06 0..../31/06 0..../29/..../31/06 0..../30/06 0..../29/06 0..../31/07 0..../28/07 0..../30/07 0..../30/07 0..../31/07 0..../29/..../31/..../31/..../28/07 0..../31/07 0..../30/..../31/07 0..../31/..../29/08 0..../31/..../30/08 0..../30/08 0..../30/..../31/..../29/08 0..../30/..../31/..../28/..../31/..../30/..../27/..../31/09 0..../30/09 0..../29/09 0..../30/09 0..../31/09 0..../31/09 0..../30/09 0..../30/..../30/09 0..../31/09 0..../29/..../26/10 0..../31/10 0..../30/10 0..../31/..../30/..../30/10 0..../31/10 0..../30/10 0..../29/10 0..../30/10 0..../31/10 0..../31/11 0..../28/11 0..../31/11 0..../29/..../31/..../30/..../29/..../31/..../30/..../31/11 0..../30/..../30/....

Paper For Above instruction

The provided assignment addresses critical considerations for international investment strategies, specifically analyzing whether currency risk inherent in U.S. equity investments should be hedged when incorporated into a Canadian portfolio. The central context involves a Canadian institutional investor contemplating passive investment in the US equity market via the MSCI USA index, and questioning the merit of currency hedging amid market volatility and uncertainties surrounding future exchange rate movements.

Investing abroad introduces complexities primarily due to exchange rate fluctuations that can significantly influence investment returns. A Canadian investor purchasing a U.S. equity index ETF must convert Canadian dollars (CAD) into U.S. dollars (USD), exposing the investment to two key sources of risk: the performance of the U.S. equities in USD terms and the USD/CAD exchange rate movement. The initial purchase involves a conversion at the spot rate C₀, and subsequent returns depend on the USD price appreciation P₁ versus P₀, and the change in the exchange rate from C₀ to C₁. The total holding period return (HPR) in CAD becomes a composite of these elements, reflecting both equity market performance and currency movement.

Historically, currency returns for a stable economy such as Canada are often assumed to have an expected value close to zero over the long run. This assumption stems from the notion that currencies, driven by economic fundamentals, tend to revert to purchasing power parity and other equilibrium conditions over time. Consequently, many investors consider currency risk as a source of volatility rather than excess returns. Empirical evidence from historical data supports this view, indicating that while currencies fluctuate significantly in the short term, their average returns tend to neutralize over longer periods.

In the context of the given data, analysis of ten years of monthly returns for the S&P/TSX Composite Index in CAD, MSCI USA in USD, and hedge returns for USD positions provides meaningful insights into the volatility and correlation structure of these assets. Volatility, measured by standard deviation, is notably higher for the unhedged foreign index due to currency fluctuations. Correlation between the Canadian market and the US market, as well as between currency movements and equity returns, influences the diversification benefits of adding foreign assets and the effectiveness of currency hedging strategies.

From a portfolio management perspective, the decision to hedge currency risk hinges on multiple factors. The primary argument for hedging rests on reducing volatility and protecting against adverse currency movements—especially when the investor's forecast expects no long-term directional bias in exchange rates. The firm's strategy aims to enhance risk-adjusted returns by diversifying internationally; however, the question is whether eliminating currency risk aligns with the goal of improving the risk-return profile.

The analysis of the historical data supports the notion that currency returns are unpredictable and tend to average zero over extended periods. Given that, and assuming the expectation that the future volatility and correlations will mirror historical patterns, the rationale for currency hedging becomes compelling if the investor perceives currency risk as undesirable volatility rather than a source of expected returns. Such a stance aligns with the portfolio's objective of risk mitigation rather than speculation on currency movements.

Furthermore, currency hedging via forward contracts or derivatives can effectively lock in exchange rates, transferring the currency risk from the investor to the hedging instrument. This approach minimizes short-term volatility contributed by currency fluctuations and enhances portfolio stability. However, it is essential to recognize that hedging entails transaction costs, potential basis risk, and the risk that forward rates might deviate from actual future spot rates. Nevertheless, the consistency between historical volatility patterns and the assumption of zero expected currency returns supports the argument that hedging is a prudent strategy for the portfolio.

In conclusion, given the stated purpose of the US equity investment—namely, to improve diversification and risk-adjusted returns—and the expectation that currency returns are effectively zero over the long term, it is reasonable to agree with the investment committee chair's conclusion that currency exposure should be hedged. By doing so, the firm effectively isolates equity market risk from currency risk, aligning with an objective of risk management rather than currency speculation. This approach ensures that the addition of US equities enhances diversification benefits without introducing undesirable volatility attributable to unpredictable currency movements.

References

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