Face Value of a Commercial Paper is ₹20,00,000, Maturity period to be 90 days, Net Amount realised = ₹19,20,000 (excludes discount and other charges associated with issue = 1.5 per cent). Calculate pre-tax effective cost

CS Professional · Capital Commodity and Money Market · PYQS · June 2021
Face Value of a Commercial Paper is ₹20,00,000, Maturity period to be 90 days, Net Amount realised = ₹19,20,000 (excludes discount and other charges associated with issue = 1.5 per cent). Calculate pre-tax effective cost of Commercial Paper.

Answer & Explanation:

Calculation of Pre-tax Effective Cost of Commercial Paper Face Value of Commercial Paper (FV) = ₹20,00,000 Maturity period (T) = 90 days Net Amount realised (NAR) = ₹19,20,000 (This is the amount received by the issuer before considering the 1.5% issue charges) Discount and other charges associated with issue = 1.5% of Face Value Issue Charges = 1.5% of ₹20,00,000 = 0.015 * ₹20,00,000 = ₹30,000 Actual Net Proceeds (NP) = Net Amount Realised - Issue Charges = ₹19,20,000 - ₹30,000 = ₹18,90,000 Pre-tax effective cost of Commercial Paper (CP) is calculated as: Cost of CP = [(Face Value - Net Proceeds) / Net Proceeds] * (365 / Maturity Period) Using 360 days as per common financial practice for money market instruments, or 365 if specified. The solution uses 360. Cost of CP = [(₹20,00,000 - ₹18,90,000) / ₹18,90,000] * (360 / 90) = [₹1,10,000 / ₹18,90,000] * 4 = 0.058201 * 4 = 0.232804 or 23.28% Rounding to one decimal place as in the solution: 23.3%

Topics: Money Market

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