This article provides an overview of the trends and movements of CPI-inflation in Bangladesh since the early 1950s and examines the key issues in rule-based monetary policy for price stability, implying low and stable inflation, in this country. Under a fixed exchange rate system, inflation in Bangladesh was moderately high and volatile during the 1950s and 1960s. Since the country’s independence from Pakistan in 1971, inflation in Bangladesh has remained moderately high on average and highly volatile and persistent under a fixed-pegged exchange rate system or under a managed floating system since 2003. Using data from the early 1970s or earlier depending on data availability, the article undertakes both Granger-causality and the structural vector autoregression (SVAR) analysis with two models. The first model is comprised of such variables as inflation, the real interest rate, the real exchange rate and output growth, and the second model is comprised of the volatilities of money growth, real output growth and inflation. Then, based on the empirical findings, the article concludes that a rule-based monetary policy, namely monetary targeting or inflation targeting, remains appropriate for Bangladesh provided that it adopts a more flexible, if not freely floating, exchange rate system. The article suggests that the use of monetary policy to achieve multiple objectives under a fixed-pegged exchange rate system creates a time-inconsistency problem, reduces monetary policy credibility and makes it (monetary policy) ineffective in lowering inflation and its volatility. Low credibility of monetary policy in particular raises inflation persistence. Within the present monetary-policy framework in Bangladesh, the article illustrates how the fixed-pegged exchange rate system has generated money growth volatility in the presence of large-scale inflows of overseas workers’ remittances and readymade garments export earnings. This does not seem to be a concern of the central bank of Bangladesh (Bangladesh Bank); rather, it (Bangladesh Bank) pursues monetary-base targeting to keep inflation low and stable after considering economic growth. The consequent diminishing credibility of monetary policy has kept inflation volatile and persistent, which has adversely affected economic growth.