Financial_Management_Concepts_ INTRO.pptx

ssuser027e92 21 views 9 slides Aug 05, 2024
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About This Presentation

This comprehensive presentation delves into the foundational principles and practices of financial management. It covers the essential aspects necessary for understanding and managing an organization's financial resources effectively. The topics include:

Nature and Scope of Financial Management...


Slide Content

Financial Management Concepts: PV, FV, Discounting, and Compounding Presented by [Your Name], Professor of Financial Management, Delhi University Date: [Today's Date]

Present Value (PV) Definition: Present Value (PV) is the current value of a future amount of money or a series of cash flows given a specified rate of return. Example: If you are to receive Rs 1,000 in 3 years, and the annual discount rate is 5%, the present value can be calculated using the formula: PV = FV / (1 + r)^n Where: FV = Future Value ( Rs 1,000) r = discount rate (5% or 0.05) n = number of periods (3 years) PV = Rs 1,000 / (1 + 0.05)^3 ≈ Rs 863.84

Practice Question - PV Question: Calculate the present value of Rs 2,000 to be received in 5 years if the discount rate is 6% per annum. Solution: PV = FV / (1 + r)^n FV = Rs 2,000 r = 6% or 0.06 n = 5 years PV = Rs 2,000 / (1 + 0.06)^5 ≈ Rs 1,494.52

Future Value (FV) Definition: Future Value (FV) is the value of a current asset at a future date based on an assumed rate of growth. Example: If you invest Rs 1,000 today in an account that earns an annual interest rate of 5%, the future value can be calculated using the formula: FV = PV * (1 + r)^n Where: PV = Present Value ( Rs 1,000) r = interest rate (5% or 0.05) n = number of periods (3 years) FV = Rs 1,000 * (1 + 0.05)^3 ≈ Rs 1,157.63

Practice Question - FV Question: Calculate the future value of Rs 1,500 invested for 4 years at an annual interest rate of 7%. Solution: FV = PV * (1 + r)^n PV = Rs 1,500 r = 7% or 0.07 n = 4 years FV = Rs 1,500 * (1 + 0.07)^4 ≈ Rs 1,962.30

Discounting Definition: Discounting is the process of determining the present value of a payment or a stream of payments that is to be received in the future. Example: If you are to receive Rs 1,000 in 3 years, and the annual discount rate is 5%, the discount factor can be calculated using the formula: Discount Factor = 1 / (1 + r)^n Where: r = discount rate (5% or 0.05) n = number of periods (3 years) Discount Factor = 1 / (1 + 0.05)^3 ≈ 0.86384

Practice Question - Discounting Question: Calculate the discount factor for a future payment to be received in 6 years with an annual discount rate of 8%. Solution: Discount Factor = 1 / (1 + r)^n r = 8% or 0.08 n = 6 years Discount Factor = 1 / (1 + 0.08)^6 ≈ 0.63017

Compounding Definition: Compounding is the process in which an asset's earnings, from either capital gains or interest, are reinvested to generate additional earnings over time. Example: If you invest Rs 1,000 in an account that pays 5% interest annually, and you reinvest the interest earned, the value of your investment grows exponentially. The formula is: FV = PV * (1 + r/n)^(n*t) Where: PV = Present Value ( Rs 1,000) r = annual interest rate (5% or 0.05) n = number of times interest is compounded per year (1 for annually) t = number of years (3) FV = Rs 1,000 * (1 + 0.05/1)^(1*3) ≈ Rs 1,157.63

Practice Question - Compounding Question: Calculate the future value of Rs 2,500 invested for 5 years at an annual interest rate of 6%, compounded quarterly. Solution: FV = PV * (1 + r/n)^(n*t) PV = Rs 2,500 r = 6% or 0.06 n = 4 (quarterly) t = 5 years FV = Rs 2,500 * (1 + 0.06/4)^(4*5) ≈ Rs 3,358.23