{"id":63069,"date":"2025-08-11T23:55:24","date_gmt":"2025-08-11T21:55:24","guid":{"rendered":"https:\/\/www.captrader.com\/?post_type=glossar&p=63069"},"modified":"2025-09-23T14:51:54","modified_gmt":"2025-09-23T12:51:54","slug":"present-value","status":"publish","type":"glossar","link":"https:\/\/www.captrader.com\/en\/glossar\/barwert\/","title":{"rendered":"Present value"},"content":{"rendered":"

The present value is a key figure in financial mathematics. It indicates the present value of payments or income<\/strong> that will only be incurred in the future. For investors, the present value is an important tool for realistically evaluating investments such as bonds, real estate or projects and making well-founded decisions. In this article, we explain exactly how it is calculated, when it proves to be a useful tool and what private investors should bear in mind.<\/p>\n\n\n\n

Present value definition: What is the present value?<\/h2>\n\n\n\n

The present value indicates how high the value of a future cash flow is today if a certain interest rate (discount rate) is applied. The basic idea is that money has a higher value today than in the future if it is invested immediately at a profit and is thus Interest<\/a> is generated. This so-called time value of money is taken into account with the help of a calculatory interest rate.\u00a0<\/p>\n\n\n\n

Example:<\/strong>
An investment of 1,000 euros at an interest rate of 8 percent will be worth 1,080 euros in one year. Conversely, this means that a payment of EUR 1,080 in one year is worth EUR 1,000 today.<\/p>\n\n\n\n

With the help of the present value Various investment opportunities comparable<\/strong> regardless of when the payments are actually made.<\/p>\n\n\n\n

Why is the present value important?<\/h2>\n\n\n\n

Present value is not just a theoretical model, but a key tool for making well-founded investment decisions. It helps to realistically estimate future cash flows and compare them with today's investment costs. This makes it indispensable for many financial decisions:<\/p>\n\n\n\n

    \n
  • Bond rating:<\/strong> The price of a bond corresponds to the present value of all future interest payments (coupons) plus the repayment at maturity. If a bond is traded on the market below this value, it tends to be considered attractively valued and vice versa.<\/li>\n\n\n\n
  • Shares:<\/strong> The ratio also plays a key role here, particularly in the discounted cash flow method (DCF). The expected future profits of a company are discounted to the present day. This makes it possible to determine whether a share is overvalued or undervalued compared to its \u201eintrinsic value\u201c. Investors can thus look beyond short-term price fluctuations and make long-term decisions.<\/li>\n\n\n\n
  • Project investments:<\/strong> Companies assess investment projects by calculating the present value of the expected cash flows of a project. As part of the net present value method, these are discounted and compared with today's investment costs. A positive net present value indicates that the investment is likely to be economically viable.<\/li>\n\n\n\n
  • Pensions, leasing contracts and insurance policies:<\/strong> Regular payments such as lifelong pensions, fixed leasing installments or payouts from a life insurance policy often appear attractive at first glance because they add up over many years. The present value adds up these amounts and calculates them back to the present day, taking inflation and lost investment opportunities into account. This makes it clear whether a one-off payout today or smaller payments over the years are more financially advantageous.<\/li>\n\n\n\n
  • Real estate:<\/strong> Investors compare the purchase price with the expected net rental income. The property is only attractive from a yield perspective if the present value of this income equals or exceeds the purchase price.<\/li>\n<\/ul>\n\n\n\n

    The present value therefore brings all future payments to the same denominator and helps to compare apples with apples, even if the income is in the future.<\/p>\n\n\n\n

    Present value calculation<\/h2>\n\n\n\n

    The general formula for calculating the key figure is as follows:<\/p>\n\n\n\n

    Present value = B(1+Z)n<\/p>\n\n\n\n

    Where B is the expected amount of a payment in the future, Z is the interest rate as a decimal number and n is the number of years until payment.<\/p>\n\n\n\n

    Example:<\/strong><\/p>\n\n\n\n

    A payment of EUR 1,000 is expected in three years. With a discount rate of 4 percent, the value in this case is <\/p>\n\n\n\n

    Present value = 1000\/(1+0.04)3, <\/p>\n\n\n\n

    i.e. around 889 euros. This means that 1,000 euros in three years is equivalent to around 889 euros today, assuming an interest rate of 4 percent.<\/p>\n\n\n\n

    It is important that small differences in the interest rate can significantly change the present value<\/strong>:<\/p>\n\n\n\n

      \n
    • At 2 percent, the cash value of EUR 1,000 in 10 years is around EUR 820.<\/li>\n\n\n\n
    • At 6 percent, the figure is only around 558 euros.<\/li>\n<\/ul>\n\n\n\n

      The higher the rate, the more future payments are devalued. The appropriate discount rate depends on the valuation purpose and the risk of future payments<\/strong>. In practice, investors are often guided by current market interest rates, for example the yield on a German government bond with a comparable term. For riskier payments, a premium is chosen to take account of uncertainties and lost investment opportunities. <\/p>\n\n\n\n

      As a rule of thumb, very secure payments are discounted at 2 to 3 percent, average-risk investments at 5 to 7 percent and speculative projects at 10 percent or more. The rate should always be chosen so that it realistically reflects both the market level and the individual risk.<\/p>\n\n\n\n

      Valuation of multiple payments<\/h3>\n\n\n\n

      In many cases, it is not about a one-off payment, but about Regular payment series<\/strong>, For example, annual coupon payments on a bond, rental income from a property or pension payments.<\/p>\n\n\n\n

      In these cases, each individual payment is discounted separately to the present day. All present values are then added together to obtain the total present value of the cash flow.<\/p>\n\n\n\n

      Example:<\/strong><\/p>\n\n\n\n

      EUR 500 will be paid in each of the next three years. <\/p>\n\n\n\n

      The discount rate is 5 percent.<\/p>\n\n\n\n

        \n
      • Year 1: 500 \/ (1+0.05)1 = 476.19 euros\u00a0<\/li>\n\n\n\n
      • Year 2: 500 \/ (1+0.05)2 = 453.52 euros\u00a0<\/li>\n\n\n\n
      • Year 3: 500 \/ (1+0.05)3 = 431.92 euros\u00a0<\/li>\n<\/ul>\n\n\n\n

        Total cash value = 476.19 euros + 453.52 euros + 431.92 euros = 1,361.63 euros <\/p>\n\n\n\n

        This means that the three payments totaling EUR 1,500 have a value of around EUR 1,362 today.<\/p>\n\n\n\n

        Present value in the investment strategy<\/h2>\n\n\n\n

        For private investors, present value can be an important tool when it comes to objectively comparing different forms of investment. The following points should be borne in mind when interpreting it:<\/p>\n\n\n\n

          \n
        1. Bonds & fixed-income securities: <\/strong>If coupons and repayments are discounted to today, this results in the fair value. Bonds with different maturities, coupon rates and credit ratings can thus be compared objectively. Investors should make realistic assumptions about the probability of default and choose a discount rate that reflects the market interest rate level.<\/li>\n\n\n\n
        2. Dividend stocks & payout strategies: <\/strong>Discounting expected dividends and comparing them with the current price provides a quick plausibility check as to whether the price matches the future distributions. However, dividends are not guaranteed. Assumptions should therefore be based on historical stability and the company's situation.<\/li>\n\n\n\n
        3. Real estate: <\/strong>Here, future net rents calculated on today's value are compared with the purchase price. This allows the yield to be estimated in comparison with other asset classes. Operating costs, vacancies, maintenance and inflation should be realistically taken into account.<\/li>\n\n\n\n
        4. Savings plans & target amounts:<\/strong> To calculate the monthly savings rate and required return, the target amount (e.g. EUR 50,000 in 10 years) is calculated back to the present value. It is important to adjust the assumed return to the actual risk profile and investment horizon.<\/li>\n<\/ol>\n\n\n\n

          The present value therefore serves as an instrument for risk assessment and planning security. Those who take it into account can better assess how much and where they should invest today in order to achieve future goals.<\/p>\n\n\n\n

          Limits of the present value<\/h2>\n\n\n\n

          Even though it is a valuable tool, the value has clear limitations. Investors should be aware that various assumptions are condensed into one number, which leads to the following limitations:<\/p>\n\n\n\n

            \n
          • Dependence on assumptions: <\/strong>Even small changes in the interest rate and expected cash flows can significantly change the present value.<\/li>\n\n\n\n
          • Risks and options often incomplete:<\/strong> Default risks or dividend cuts are difficult to map precisely, as are early repayments or termination rights.<\/li>\n\n\n\n
          • Inflation, taxes, costs: <\/strong>Mixing nominal cash flows with real interest rates or overlooking ongoing costs distorts the result<\/li>\n\n\n\n
          • Market price may vary:<\/strong> A mathematically fair value does not guarantee a tradable market price. Liquidity, sentiment or regulation can fluctuate significantly.\u00a0<\/li>\n<\/ul>\n\n\n\n

            The present value is therefore a guideline and not an exact prediction. It works best in conjunction with realistic assumptions and a look at market practice.<\/p>\n\n\n\n

            Conclusion: Understanding present value as a key variable<\/h2>\n\n\n\n

            The present value is an essential tool for determining the value of future payments in the present. It helps to evaluate investments fairly and assess risks in order to make well-founded investment decisions. It is important to choose a suitable discount rate and to interpret the value in conjunction with other key figures and market analyses. By integrating the present value into your financial planning in this way, you can realistically assess potential returns and avoid paying too much for a supposedly attractive investment.<\/p>","protected":false},"author":20,"featured_media":0,"template":"","class_list":["post-63069","glossar","type-glossar","status-publish","hentry"],"acf":{"blog_summary":"","blog_faq_schalter":"nein","faq_uberschrift":"","blog_faq_loop":null},"_links":{"self":[{"href":"https:\/\/www.captrader.com\/en\/wp-json\/wp\/v2\/glossar\/63069","targetHints":{"allow":["GET"]}}],"collection":[{"href":"https:\/\/www.captrader.com\/en\/wp-json\/wp\/v2\/glossar"}],"about":[{"href":"https:\/\/www.captrader.com\/en\/wp-json\/wp\/v2\/types\/glossar"}],"author":[{"embeddable":true,"href":"https:\/\/www.captrader.com\/en\/wp-json\/wp\/v2\/users\/20"}],"wp:attachment":[{"href":"https:\/\/www.captrader.com\/en\/wp-json\/wp\/v2\/media?parent=63069"}],"curies":[{"name":"wp","href":"https:\/\/api.w.org\/{rel}","templated":true}]}}