Question
(All interest rates are continuously compounded) A friend of yours contacted her bank to borrow $1m. for 9 months. Because of her credit risk, the
(All interest rates are continuously compounded) A friend of yours contacted her bank to borrow $1m. for 9 months. Because of her credit risk, the bank quoted her an interest rate of 8% p.a. Continuous compounding (Note: This is her borrowing rate, not her lending rate. Nor is it the risk-free rate or anybody else's rate). You are her financial advisor. You observe the following option and stock prices:
Security Price
9-month European call whose exercise price = $40 $4
9-month European put whose exercise price = $40 $2.81
the underlying (non-dividend-paying) stock $39
What advice will you give to her? Should she go ahead and borrow from the bank? If not, what can she do to effectively borrow $1m.? Please provide the full details of your recommendation.
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