Tango Bank has contracted to lend $80 million to Delta Co. in three months’ time.
This loan will be for a period of six months.
To hedge against the risk of interest rates dropping, Tango has purchased an interest rate put option.
The put option has an exercise rate of 2.15% and a maturity of three months.
The underlying forward rate is based on the LIBOR, which has a current term structure of
# days
LIBOR
90
2%
270
2.3%
The terms of the LIBOR specify 30 days in a month and 360 days in a year. The volatility on the underlying forward rate is 0.25. Tango uses the Black Model to estimate the call premium.
What is the contract premium?
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