Present Value Definition
Present Value (PV) is today’s value of money you expect from future income and is calculated as the sum of future investment returns discounted at a specified level of rate of return expectation.
This concept is used in the valuation of stocks, bond pricing, financial modeling, and analysis of various investment options. Investor calculates a present value from the future cash flow of investment to decide whether that investment is worth investing today. The expected cash flow of the future is discounted at a discount rate, which is the expected rate of return calculated inversely with future cash flow. Inflation reduces the value of money in hand since the price of goods and services rises over a period due to inflation, which means the amount worth today might not be equally worth tomorrow. PV calculations make sure the inflationary impact is calculated from either inflation rate or expected rate of returns.
How to Find Present Value?
PV = Future Value / (1+i)^{n}
- i = interest rate
- n = investment period
Step #1 – Put expected future value of the investment in a formula
Step #2 – Put Expected rate of return on your investment
Step #3 – Number of the period you are investing
Examples of Present Value
Example #1
Mr X wants $10,000 after 3 years. The interest rate available on a specific investment, which he is interested in, is 4% per annum. How much he should invest today to receive the desired amount.
Solution
Given,
- Future Value = $10,000
- Interest = 4% per annum
- Period = 3 years
Calculation of Present Value can be done as follows,
- = $10,000 / (1+0.04)^{3}
- = $8,889.96
i.e. Mr X should invest $8,889.96 amount today to get desired amount in 3 years.
Example #2
Mr A has $100,000 in hand from his savings, he wants $200,000 after 10 years. He has three options i.e. either
- Bank deposit at a rate of 4% per annum compounded quarterly.
- Government bonds at 3.85% for 10 years.
- Invest in a Hedge fund with expected returns of a minimum 8% per annum. Which investment option is best to achieve his goals?
Calculation of Present Value for Option A can be done as follows,
- =$200000.00/(1+1%)^{40}
- = 134330.63
Similarly, we can calculate PV for Option B and Option C
By looking at table above, answer seems quite simple as investment in option C i.e. hedge funds give more returns which help Mr. A to achieve his future investment returns, while investment options of bank deposits and government bonds will need additional investment of $34,330.64 and $37,077.12 on current amount in hand to achieve desired return of $200,000.
At first, the choice seems simple to Mr. A to select investment option C, but investment in hedge funds also involves risk of loss that needs to be considered, which means there is no guaranty that investors will definitely earn expected future returns. While Option A and B which are bank deposit and investment in government bonds may not provide expected returns but, includes very low risk on investment.
Depending on Mr. A Financial condition, risk capacity decisions can be made. While conservative investor prefers to select Option A or B, an aggressive investor will select Option C if he is ready and has the financial capacity to bear the risk.
Importance
- Important for analysis: For every business, it is important to understand future cash inflow or outflow from business, PV calculation turns necessary when you expect a certain level of future cash flow.
- Fundamental concept: To calculate the value of various investments like bonds, stocks, bank deposits, insurance, and pension funds you need PV calculations.
- Time-value of money: level of interest rate, inflation, and periods helps in making on investment return you expect in the future from your investment. What is the current value of future worth that helps in making investment decisions?
- Inflation effect: They make sure that the inflation effect on money is calculated over a period by considering either inflation rate or discounting expected rate of return from future cash flow.
Benefits
- Investment Decision: This method helps in making investment decisions since it calculates the current value of future cash flows in investment. If the investor does not have enough amount to invest from which he, expect future cash flow he would prefer to select other investment options.
- Purchasing Power: Money worth today is more than the money worth tomorrow, which means a value of $100 today might not be equal to $100 after a year because of inflation reduces the value of money. Present consider inflation and provides details on whether today’s investment is enough for future cash flow.
- Discount Rate: Rate of returns on investment to calculate it is called a discount rate. In other words, a combination of the time value of money, which reduces over a period and interest rate, which raises the value of your investment. A discount rate is used to calculate the PV of the investment in case of a settlement, by discounting future value.
Limitation
- No guaranteed expected return: We calculate the PV by assuming interest rate over investment, but in reality, many investments cannot guarantee the rate of returns according to expectation, for e.g. in case of bank deposits banks can change interest rates which depends on other economic factors as well. Except, government bonds where risk is less and expected returns are given no other investment can provide exact present value.
- Inflation vs Interest: If the inflation rate is higher than the interest rate on investments, then investment becomes worthless. If the value of money you hold today is higher than tomorrow people prefer to spend it today than investing in tomorrow.
Present Value vs Future Value
Present Value | Future Value | |
Definition | Current Value of Future Cash flow is called Present Value | Future cash flow resulting after a certain period on today’s investments is known as Future value |
When | It focuses on value at the beginning of a period | Future Value focuses on Value at the end of the period |
Rate | Interest rates and discount rates both need to consider in the calculation of PV | Only interest rate is considered while calculating future value. |
Decision | It is important in making the decision today regarding a particular investment. | Future Value provides a number which will receive in the future which does not affect decision making today |
Methods | Discounted | Compounding to get resulted amount on a future date |
Views | It is required to get a certain future value. | Future value provides the value of the current investment in the future. |
Conclusion
Present value calculation helps in making many investment decisions for the business as well as individuals, although the exact value cannot be calculated because of changing interest rates on many investments and inflationary effect, this calculation still helps in estimating individuals money worth in terms of his future expectation.
Since the present value is calculated at beginning of period while making investment decisions; it includes some assumptions regarding inflation and the rate of returns on investment, which should be realistic and proper analysis, a comparison of various investment options is necessary to find the right plan to invest.
Recommended Articles
This has been a guide to Present Value and its definition. Here we discuss how to find present value along with examples, benefits, limitations, and differences from future value. You can learn more about financing from the following articles –
- How to Calculate Pension?
- Present Value vs Future Value
- Time Value of Money Formula
- Present Value of an Annuity
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