The Curious Relationship between Interest Rates and Currency Markets

 

Over the past year and a half, the Fed’s aggressive interest rate hikes have significantly strengthened the dollar (US Fed rate now stands at 5.25%). A quick peek at the US Dollar Index would reveal just this. But in lands far away from the USA, aggressive interest rate hiking by central banks has not translated into an appreciating or steady domestic currency.

Take Pakistan as an example. A rather extreme example. The State Bank started monetary tightening a lot earlier with more hawkish momentum than other central banks. The State Bank began raising interest rates in September 2021, taking interest rates from 7% to the present 22% within a period of less than two years. This implies a monetary tightening spread of 9.75% between State Bank and Fed rates.

Despite this, the Pakistani rupee has depreciated from Rs 168 to Rs 287 relative to the dollar – since the start of State Bank’s monetary tightening cycle. What gives? To answer this, one has to understand why free-floating exchange rates move.

The long run

In the long run, the exchange rate of a currency is determined by the country’s purchasing power parity. That is what every macroeconomics course across the world teaches students. Economist Atif Mian simplifies this by saying, “Exchange rate in the long run reflects a country’s productivity relative to rest of world”. Other factors that influence exchange rates in the long run include relative price levels, trade barriers and net export demand.

But this understanding of exchange rates in the long run is based on a few assumptions – as always is the case in economics. And who knows when the long run would arrive? This is where our buddy short run steps in.

The short run

In the short run, there are two key economic theories about interest rates affecting exchange rates. One is called International Fisher Effect (IFE). IFE assumes that changes in inflation don’t impact real interest rates. Hence, the theory states that lower interest rates give way to lower inflation rates which translate into an appreciating currency (through purchasing power parity aka price level differences). This implies that in the goods market, there is no opportunity for arbitrage.

The other economic theory is the uncovered interest rate parity (UIRP) which states that arbitrage is not possible if there is an interest rate differential between the money markets of two countries. Assuming like IFE that real interest rates are same, let’s say USA has an interest rate of 10% and UK has an interest rate of 5% with an exchange rate of 1 dollar for 1 pound. UIRP says that if British investors perform a carry trade (take advantage of higher interest rates in USA), there would be no arbitrage as lower interest rates in UK would mean appreciation of the pound. Hence, gains from higher interest rates in the USA are cancelled out by relative depreciation of the dollar.

Empirical evidence

Unfortunately, both these economic theories are not supported by empirical evidence. Traders have been able to make arbitrage profits on interest rate differentials and usually the exchange rate doesn’t depreciate when interest rates rise, although not always, due to future expectations.

So, what does practice tell us? Practice tells us that the exchange rate usually appreciates when the relative interest rate increases. This is exactly because UIRP fails to hold true in the short run causing traders to perform carry trades which appreciate the currency in which interest rates are higher. This flow of capital is what allows appreciation of the currency with higher nominal interest rates. Note that the key difference between IFE+UIRP and capital flows is that IFE+UIRP take assumptions in real interest rates while capital flows are thought of in terms of nominal rates.

An interesting application of the capital flows phenomenon is that raising interest rates is the dominant strategy for central banks in a rising inflation environment. For instance, if the Fed raises interest rates, the US dollar would appreciate causing imports to become cheaper and leading to lower inflation (lower prices of imported goods). This would cause inflation to increase abroad, and other central banks would follow the Fed by raising interest rates to keep inflation in line. So, the Nash equilibrium is for every central bank to raise interest rates when inflation rises (given central banks are targeting inflation).

The Pakistani Rupee

So why doesn’t the Pakistani rupee appreciate then? Because risk premium also comes into play. When investors look to invest in a country or profit from arbitrage, they also add in a risk premium. In Pakistan, this risk premium is currently very high due to a mix of political instability, balance of payment crisis and government interventions.

For this same reason, when a global recession is expected, investors flock to safe haven currencies like the euro, pound, dollar or Swiss franc and away from emerging market currencies. The markets tend to give developed economies the benefit of the doubt at the cost of developing economies which face destabilizing capital flight in such scenarios.

Another factor also comes into play: market reflexivity. When the rupee depreciates, it sets off a chain reaction whereby a weaker rupee causes more investors to sell their rupees and this feedback loop continues until the rupee depreciates to a low enough level. So, investor expectations play a huge role in currency markets as well.

Finally, Pakistan runs a criminally high current account deficit which is poorly financed. A current account deficit, by default, implies that the home currency should depreciate. Why? Because that country is running a capital account surplus – borrowing from foreigners. Eventually it would have to run a capital account deficit to repay the foreigners. This would entail Pakistan selling its rupees to purchase foreign currency to pay the foreigners back – causing depreciation of the rupee.

On the other hand, Pakistan’s capital account is heavily financed with debt inflows which tend to be highly volatile. As Pakistan has seen, international investors are unwilling to lend to Pakistan right now, except at prohibitively high interest rates, since investors can earn a high risk-free rate in the USA. Consequently, when the regular flow of capital stops, the rupee ends up depreciating.

 

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