Calculate the price of an option that caps the three-month rate, starting in 15 months' time, at 13% (quoted with quarterly compounding) on a principal amount of $1,00. The forward interest rate for the period in question is 12% per annum (quoted with quarterly compounding), the 18-month risk-free interest rate (continuously compounded) is 11.5% per annum, and the volatility of the forward rate is 12% per annum.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter2: The Domestic And International Financial Marketplace
Section: Chapter Questions
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Calculate the price of an option that caps the
three-month rate, starting in 15 months' time,
at 13% (quoted with quarterly compounding)
on a principal amount of $1,000. The forward
interest rate for the period in question is 12%
per annum (quoted with quarterly
compounding), the 18-month risk-free interest
rate (continuously compounded) is 11.5% per
annum, and the volatility of the forward rate is
12% per annum.
Transcribed Image Text:Calculate the price of an option that caps the three-month rate, starting in 15 months' time, at 13% (quoted with quarterly compounding) on a principal amount of $1,000. The forward interest rate for the period in question is 12% per annum (quoted with quarterly compounding), the 18-month risk-free interest rate (continuously compounded) is 11.5% per annum, and the volatility of the forward rate is 12% per annum.
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