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Lesson 17 of 20

Discretely Compounded Rate of Return

A discretely compounded rate of return is simply a compounded rate of return with a discrete compounding frequency such as daily, monthly, quarterly, or semi-annually.

As the frequency of compounding increases, the annual effective yield also increases because the interest or income earned is compounded more frequently.

Example

Suppose an investment grows at an annual rate of 10% compounded quarterly. At the end of one year, the investment will grow to:

dr1
dr1

The effective annual yield is given as:

dr2
dr2
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Lognormal Distribution and Stock Prices

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Continuously Compounded Rate of Return

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Common Probability Distributions

20 lessons

Lessons

1
What is a Probability Distribution
2
Discrete Vs. Continuous Random Variable
3
Cumulative Distribution Function
4
Discrete Uniform Random Variable
5
Bernoulli and Binomial Distribution
6
Stock Price Movement Using a Binomial Tree
7
Tracking Error and Tracking Risk
8
Continuous Uniform Distribution
9
Normal Distribution
10
Univariate Vs. Multivariate Distribution
11
Confidence Intervals for a Normal Distribution
12
Standard Normal Distribution
13
Calculating Probabilities Using Standard Normal Distribution
14
Shortfall Risk
15
Safety-first Ratio
16
Lognormal Distribution and Stock Prices
17
Discretely Compounded Rate of Return
18
Continuously Compounded Rate of Return
19
Option Pricing Using Monte Carlo Simulation
20
Historical Simulation Vs Monte Carlo Simulation

Quizzes

Common Probablity Distributions
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