This business/management problem is solved step by step below, with detailed explanations to help you understand the method and arrive at the correct answer.
ScanSolve AI Answer
Here are the calculations for question 11: a) Calculate the amount Mr. Ram will receive after 5 years. Step 1: Identify the given values. Principal (P) = Rs. 50,000 Annual interest rate (r) = 10\% = 0.10 Compounding frequency (n) = 4 (quarterly) Time (t) = 5 years Step 2: Use the compound interest formula. The formula for the future value with compound interest is: A = P (1 + (r)/(n))^nt Substitute the values: A = 50,000 (1 + (0.10)/(4))^4 × 5 A = 50,000 (1 + 0.025)^20 A = 50,000 (1.025)^20 A = 50,000 × 1.63861644 A = 81,930.82 The amount Mr. Ram will receive after 5 years is Rs. 81,930.82. b) Calculate the present value of the annuity. Step 1: Identify the given values. Annuity payment (PMT) = Rs. 30,000 per year Number of years (t) = 6 years Discount rate (r) = 12\% = 0.12 Step 2: Use the present value of an ordinary annuity formula. The formula for the present value of an ordinary annuity is: PV = PMT × [ 1 - (1 + r)^-tr ] Substitute the values: PV = 30,000 × [ 1 - (1 + 0.12)^-60.12 ] PV = 30,000 × [ 1 - (1.12)^-60.12 ] PV = 30,000 × [ (1 - 0.506631)/(0.12) ] PV = 30,000 × [ (0.493369)/(0.12) ] PV = 30,000 × 4.111408 PV = 123,342.24 The present value of the annuity is Rs. 123,342.24. That's 2 down. 3 left today — send the next one.