A borrower just paid a call premium of $100,000 today and received the right to cap LIBOR at 5.0% on an upcoming 1-year loan 1 year from today. Assuming 1 year later, the LIBOR rate increases to 8% and the rate on the floating rate loan is set based on this LIBOR rate. The effective borrowing rate should be:
Notional Principal |
$40,000,000 |
Floating rate applicable to an upcoming loan | LIBOR + 2% |
Time to option expiry/lending day | 1 year |
Loan term | 1 year |
Strike rate on interest rate option | 5.0% |
Cost (premium) of interest rate option | $100,000 |
Current quote on LIBOR | 5.5% |
LIBOR on borrowing day | 8% |
1 year later, the LIBOR rate increases to 8% and the rate on the floating rate loan is set based on this LIBOR rate.
The borrower will exercise the right to cap LIBOR at 5.0% on an upcoming 1-year loan 1 year from today.
Floating rate applicable to an upcoming loan, I = LIBOR capped at 5.0% + 2% = 7%
Notional Principal, P = $40,000,000
Time period, T = 1 year
Hence, interest = P x I x T = $ 40,000,000 x 7% x 1 = 2,800,000
Call premium paid = $ 100,000
The effective borrowing rate should be = (Interest + Call premium) / Notional principal = (2,800,000 + 100,000) / 40,000,000 = 7.25%
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