X has a 3 million dollar floating rate loan which is re-set every six months. The company wants to protect itself against a rising interest rate in the next six months. It purchases a 3% 6 v/s 12 Forward Rate Agreement ( FRA ) on a notional amount of 3 million dollar. At the start date of the FRA, the market interest rate on floating rate debt is 3.5 % per annum. (i) Calculate the amount receivable by X from the writer of the FRA at the beginning of the FRA period, assuming 30-day months in a year. (ii) Calculate the interest payable by X to the providers of finance at the end of month 12.  (ii) Calculate the actual interest cost of the loan and justify your answer.

EBK CONTEMPORARY FINANCIAL MANAGEMENT
14th Edition
ISBN:9781337514835
Author:MOYER
Publisher:MOYER
Chapter19: Lease And Intermediate-term Financing
Section: Chapter Questions
Problem 17P
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X has a 3 million dollar floating rate loan which is re-set every six months. The company wants to protect itself against a rising interest rate in the next six months. It purchases a 3% 6 v/s 12 Forward Rate Agreement ( FRA ) on a notional amount of 3 million dollar. At the start date of the FRA, the market interest rate on floating rate debt is 3.5 % per annum.


(i) Calculate the amount receivable by X from the writer of the FRA at the beginning of the FRA period, assuming 30-day months in a year.

(ii) Calculate the interest payable by X to the providers of finance at the end of month 12. 


(ii) Calculate the actual interest cost of the loan and justify your answer.

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