A large, multinational bank has committed to lend a firm $25 million in 30 days at LIBOR plus 100 bps. The loan will have a maturity of 90 days, at which time the principal and all interest will be repaid.
The bank is concerned about falling interest rates and decides to buy a put on LIBOR with a strike of 9.5 percent and a premium of $60,000.
Determine the annualized loan rate for LIBORs of 6.5 percent and 12.5 percent. Assume the payoff is based on 90 days and a 360-day year. The current LIBOR is 9.5 percent.