264 AN INTRODUCTION TO ISLAMIC FINANCE
The following illustrates the calculations involved in a synthetic forward
contract and the profi t made by the bank or the investor in our example:
Local currency: Euro (€)
Foreign Currency: US Dollar ($)
Period: 3 months
Rate of Return on 3 - month murabahah in domestic
market (R€): 10%
Rate of Return on 3 - month murabahah in foreign
market (R$): 5%
Spot Rate: €0.85/$
Amount to hedge: €1,000,000.00
Amount of investment required in foreign currency at settlement
date (T 0 ):
Amount of investment required in local currency at settlement date (T 0 ):
Foreign Amount × Spot Rate $952,381 × 0.85 €809,524
Convert €809,524 @ €0.85/$ to $952,381 and invest the proceeds in $
murabahah with expected rate of return = 5 percent.
Arbitrage - free forward rate (F) quoted to importer:
Value of murabahah at maturity (T):
Investment amount × (1Rate of Return) $952,381 × (1.05) $1,000,000
The bank received $1,000,000 from foreign murabahah investment and
sold $1,000,000 to the importer at €0.8905/$ and received €890,500.00.
The bank or investor’s rate of return: