An investor receives 1,100 in one year in return for an...

An investor receives $$\$ 1,100$$ in one year in return for an investment of $$\$ 1,000$$ now. Calculate the percentage return per annum with:
(a) Annual compounding
(b) Semiannual compounding
(c) Monthly compounding
(d) Continuous compounding.

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Key Concepts

Compound Interest

Compound interest is the process of calculating interest not only on the initial principal but also on the accumulated interest from previous periods. This principle is fundamental in finance as it demonstrates how investments grow over time and is used in various calculations involving multiple compounding periods.

Compounding Frequency

Compounding frequency refers to the number of times interest is applied to an investment or loan over a specific period. It explains the impact on the effective interest rate, as more frequent compounding (e.g., semiannually, monthly, or continuously) leads to a higher amount of interest earned or paid compared to less frequent compounding.

Discrete Compounding

Discrete compounding applies the compound interest formula at specified intervals such as annually, semiannually, or monthly. The formula A = P(1 + r/n)^(n*t) uses a finite number of compounding periods, where 'n' denotes the number of compounding periods per year and 't' represents the number of years.

Continuous Compounding

Continuous compounding is the mathematical limit that compound interest can reach if the compounding periods become infinitely small. This method uses the formula A = P * e^(r*t) and represents the maximum theoretical accumulation possible for a given nominal interest rate over time.

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