XY Ltd. is planning to expand its operations in view of growing demand for its products. For this purpose, it is considering to borrow an amount of…

CA Final · Advanced Financial Management · PYQS · November 2024
XY Ltd. is planning to expand its operations in view of growing demand for its products. For this purpose, it is considering to borrow an amount of 100 crores for a period of 3 months in the coming 6 months' time from now. The current rate of interest is 8% per annum but due to inflation it may go up in 6 months' time. The company wants to hedge itself against the likely increase in interest rate. The company's Bankers quoted an FRA (Forward Rate Agreement) at 8.20% per annum. You are required to calculate due to FRA: (i) The actual interest rate if the Banker pays to XY Ltd. an amount of 9,78,952.52 (ii) The actual interest rate if XY Ltd. will pay to the Banker a sum of 9,80,872.98

Suggested Answer and Working Notes:

Final settlement amount shall be computed by using formula: = (N)(RR - FR)(dtm/DY) / [1 + RR(dtm/DY)] Where, N = the notional principal amount of the agreement; RR = Actual Reference Rate for the maturity specified by the contract prevailing on the contract settlement date; FR = Agreed-upon Forward Rate; and dtm = maturity period in days or months of the forward rate agreement DY = Total number of days or month in a year as per convention Accordingly, i. If Banker pays to XY Ltd. an amount of 9,78,952.52 then actual interest shall be computed as follows: 9,78,952.52 = (100crore)(RR -0.082)(3/12) / [1 + RR(3/12)] RR = 0.086 Thus, the actual interest rate happens to be 8.60% on the settlement date. ii. If XY Ltd. pays to Banker an amount of 9,80,872.98 then actual interest shall be computed as follows: 9,80,872.98 = (100crore)(RR -0.082)(3/12) / [1 + RR(3/12)] RR = 0.078 Thus, the actual interest rate happens to be 7.80% on the settlement date.

Topics: Interest Rate Risk Management

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