In: Finance
Find the Black-Scholes price of a six-month call option written on €100,000 with a strike price of $1.0000/€. The current exchange rate is $1.125/€. The U.S. risk-free rate is 2 percent over the period and the euro-zone risk-free rate is 1 percent. The volatility of the underlying asset is 10.5 percent.
$0.1309/€
$0.1682/€
$0.1452/€
$0.0016/€
Strike Price = $1.00/Euro
Stock Price = $1.125/Euro
Risk Free Rate in $ = 2%
Risk Free Rate in Euro = 1%
Volatility = 10.5%
Time to Maturity = 6 Months i.e. 0.5 Years
Net Risk Free Rate = 2% - 1% = 1%
Value of Call Option would be $0.13 / Euro. Thus Option (a) i.e. $13.09 / Euro is correct.