Ultimate access to all questions.
Savers Bancorp entered into a 2-year interest rate swap agreement starting on August 9, 2014. In this swap, they received a fixed rate of 4.00% per annum and paid a variable rate of LIBOR plus 1.20%. The notional principal of the swap was USD 6.5 million, with payments exchanged semi-annually. What was the total amount received by Savers Bancorp on August 9, 2016, based on the 6-month LIBOR rates provided for the 2-year period?
Explanation:
The correct answer to the question of how much Savers Bancorp received on August 9, 2016, is option B, which is USD 78,325. This is determined by calculating the net settlement amount on that date based on the terms of the interest rate swap agreement. According to the swap, Savers Bancorp receives a fixed rate of 4.00% and pays a floating rate tied to LIBOR plus a spread of 1.20%. The relevant LIBOR rate for the payment on August 9, 2016, is the one that was set on February 9, 2016, which was 0.39%.
The calculation proceeds as follows:
Savers Bancorp receives the fixed rate payment, which is calculated by multiplying the notional amount (USD 6.5 million) by the fixed rate (4.00%) and the fraction of the year (0.5 for the 6-month period):
Savers Bancorp pays the floating rate, which is calculated by multiplying the notional amount by the sum of the LIBOR rate (0.39%) and the spread (1.20%), and then by the fraction of the year:
The net amount that Savers Bancorp receives is the difference between the fixed rate received and the floating rate paid:
Thus, the comprehensive explanation confirms that Savers Bancorp would receive USD 78,325 on August 9, 2016, as per the terms of the interest rate swap agreement.