Question

A borrower just paid a call premium of $100,000 today and received the right to cap...

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%

Homework Answers

Answer #1

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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