Compound Interest

A compound-interest contract is like a series of simple-interest contracts that are connected. The length of each simple-interest contract is equal to one compounding period. At the end of each period the interest earned on each simple-interest contract is added to the principal. For example, if you deposit 1,000.00 in a savings account that pays 6% annual interest, compounded monthly, your earnings for the first month look like a simple-interest contract

written for 1 month at 1/2 % (6% ÷ 12). At the end of the first month the balance of the account is 1,005.00 (5 is 1/2 % of 1,000).

The second month, the same process takes place on the new balance of 1,005.00. The amount of interest paid at the end of the second month is 1/2 % of 1,005.00, or 5.03. The compounding process continues for the third, fourth, and fifth months. The intermediate results in this illustration are rounded to dollars and cents.

Figure 3 Annual interest compounded monthly

The word compound in compound interest comes from the idea that interest previously earned or owed is added to the principal. Thus, it can earn more interest. The financial calculation capabilities of the HP 10bII+ are based on compound interest.

Interest Rates

When you approach a financial problem, it is important to recognize that the interest rate or rate of return can be described in at least three different ways:

Picturing Financial Problems 57

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HP 10bII+ Financial manual Interest Rates, Compound Interest

10bII+ Financial specifications

The HP 10bII+ Financial Calculator is a versatile and powerful tool designed to meet the needs of finance students, professionals, and anyone involved in financial planning and analysis. Known for its compactness and user-friendly interface, this calculator incorporates a range of features specifically tailored for financial calculations, making it an essential gadget for banking, real estate, and investment analysis.

At the heart of the HP 10bII+ is its ability to perform a wide variety of financial functions, including time value of money calculations, cash flow analysis, bond pricing, and depreciation. Its built-in functions facilitate the computation of interest rates, present and future values, net present value (NPV), internal rate of return (IRR), and annuities. This array of functionalities allows users to tackle complex financial problems with ease.

One of the standout technologies in the HP 10bII+ is its RPN (Reverse Polish Notation) input system, which allows for efficient data entry and calculation. Users can perform consecutive calculations without the need for parentheses, streamlining the process significantly. Alternatively, the calculator can also function with a standard algebraic input, catering to different user preferences.

The design of the HP 10bII+ is sleek and compact, making it highly portable and easy to handle. With a large, easy-to-read display, it ensures that users can view their calculations clearly, even in low-light environments. The keys are well-spaced and tactile, allowing for a comfortable typing experience during intensive calculations.

The calculator also offers a range of memory functions, enabling users to store and recall important values easily. This is particularly useful for financial professionals who must deal with multiple calculations and refer back to previous results frequently.

Additionally, the HP 10bII+ is powered by two AAA batteries, providing a long battery life that ensures reliability during extended use. It also features an automatic shut-off function, which conserves battery life when the calculator is not in use.

In summary, the HP 10bII+ Financial Calculator is a high-performance device that combines essential financial functions with user-friendly design and robust technology. Whether for educational purposes or professional finance work, its capabilities make it an invaluable asset for anyone dealing with financial calculations and decision-making.