Module 2 · Financial Arithmetic, Time Value, and Returns Lesson 11 of 120
Simple Interest
A fixed-rate invoice financing illustration.
Transcript
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What base earns interest in this example?
Code lab
Run it yourself
The lesson source in 7 languages. Edit it, run TypeScript and Python right here, and compare with the expected output.
/**
* Fintech Math Bootcamp · Lesson 011 of 120
* Simple Interest
* Module 02: Financial Arithmetic, Time Value, and Returns
*
* Scenario: A fixed-rate invoice financing illustration
* Rule: I = P × r × t
*
* Try it: What base earns interest in this example?
*
* Lesson article: https://thefintechbuilder.com/financial-mathematics-statistics-and-data-foundations/financial-arithmetic-time-value-and-returns/simple-interest/
* Free course: https://courses.thefintechbuilder.com
* Synthetic teaching example, not financial advice or a production library.
*/
export function lesson011() {
const principal = 1000;
const annualRate = 0.05;
const years = 3;
const interest = principal * annualRate * years;
const result = {interest, total: principal + interest};
return result;
}
export const checkedResult = {"interest":150,"total":1150};
// Run this file directly: npx tsx lessons/02-financial-arithmetic-time-value-and-returns/011-simple-interest.ts
if (process.argv[1] && import.meta.url.endsWith(process.argv[1].replace(/\\/g, "/").split("/").pop()!)) {
console.log(JSON.stringify(lesson011(), null, 2));
}
Your output
Press Run to execute the code in your browser.
Expected output
{
"interest": 150,
"total": 1150
}"""
Fintech Math Bootcamp · Lesson 011 of 120
Simple Interest
Module 02: Financial Arithmetic, Time Value, and Returns
Scenario: A fixed-rate invoice financing illustration
Rule: I = P × r × t
Try it: What base earns interest in this example?
Lesson article: https://thefintechbuilder.com/financial-mathematics-statistics-and-data-foundations/financial-arithmetic-time-value-and-returns/simple-interest/
Free course: https://courses.thefintechbuilder.com
Synthetic teaching example, not financial advice or a production library.
Run it: python main.py
"""
import json
def lesson011() -> dict:
principal = 1000
annual_rate = 0.05
years = 3
interest = principal * annual_rate * years
result = {"interest": interest, "total": principal + interest}
return result
if __name__ == "__main__":
print(json.dumps(lesson011(), indent=2))
Your output
Press Run to execute the code in your browser.
Expected output
{
"interest": 150,
"total": 1150
}/**
* Fintech Math Bootcamp · Lesson 011 of 120
* Simple Interest
* Module 02: Financial Arithmetic, Time Value, and Returns
*
* Scenario: A fixed-rate invoice financing illustration
* Rule: I = P × r × t
*
* Try it: What base earns interest in this example?
*
* Lesson article: https://thefintechbuilder.com/financial-mathematics-statistics-and-data-foundations/financial-arithmetic-time-value-and-returns/simple-interest/
* Free course: https://courses.thefintechbuilder.com
* Synthetic teaching example, not financial advice or a production library.
*
* Run it: javac Main.java && java Main
*/
public class Main {
static final class SimpleInterest {
final double interest;
final double total;
SimpleInterest(double interest, double total) {
this.interest = interest;
this.total = total;
}
}
static SimpleInterest lesson011() {
double principal = 1000;
double annualRate = 0.05;
double years = 3;
double interest = principal * annualRate * years;
SimpleInterest result = new SimpleInterest(interest, principal + interest);
return result;
}
public static void main(String[] args) {
SimpleInterest result = lesson011();
System.out.println(object("interest", num(result.interest), "total", num(result.total)));
}
// Formats a double the way JSON.stringify does: whole numbers without ".0", null for NaN or infinity.
static String num(double x) {
if (Double.isNaN(x) || Double.isInfinite(x)) return "null";
if (x == Math.rint(x) && Math.abs(x) < 1e15) return String.valueOf((long) x);
return String.valueOf(x);
}
static String quote(String text) {
return "\"" + text.replace("\\", "\\\\").replace("\"", "\\\"") + "\"";
}
// Indents an already formatted JSON value by one level.
static String nested(String json) {
return json.replace("\n", "\n ");
}
static String object(String... keysAndValues) {
if (keysAndValues.length == 0) return "{}";
StringBuilder out = new StringBuilder("{");
for (int i = 0; i < keysAndValues.length; i += 2) {
out.append(i == 0 ? "\n " : ",\n ")
.append(quote(keysAndValues[i])).append(": ").append(nested(keysAndValues[i + 1]));
}
return out.append("\n}").toString();
}
}
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Read the code here, then run it in your own toolchain or a ready-made cloud workspace.
Expected output
{
"interest": 150,
"total": 1150
}// Fintech Math Bootcamp · Lesson 011 of 120
// Simple Interest
// Module 02: Financial Arithmetic, Time Value, and Returns
//
// Scenario: A fixed-rate invoice financing illustration
// Rule: I = P × r × t
//
// Try it: What base earns interest in this example?
//
// Lesson article: https://thefintechbuilder.com/financial-mathematics-statistics-and-data-foundations/financial-arithmetic-time-value-and-returns/simple-interest/
// Free course: https://courses.thefintechbuilder.com
// Synthetic teaching example, not financial advice or a production library.
//
// Run it: go run main.go
package main
import (
"encoding/json"
"fmt"
)
type SimpleInterest struct {
Interest float64 `json:"interest"`
Total float64 `json:"total"`
}
func lesson011() SimpleInterest {
principal := 1000.0
annualRate := 0.05
years := 3.0
interest := principal * annualRate * years
result := SimpleInterest{Interest: interest, Total: principal + interest}
return result
}
func main() {
printJSON(lesson011())
}
// printJSON prints a value as JSON indented with two spaces, like JSON.stringify(value, null, 2).
func printJSON(value any) {
out, err := json.MarshalIndent(value, "", " ")
if err != nil {
panic(err)
}
fmt.Println(string(out))
}
No browser runner for Go yet
Read the code here, then run it in your own toolchain or a ready-made cloud workspace.
Expected output
{
"interest": 150,
"total": 1150
}/**
* Fintech Math Bootcamp · Lesson 011 of 120
* Simple Interest
* Module 02: Financial Arithmetic, Time Value, and Returns
*
* Scenario: A fixed-rate invoice financing illustration
* Rule: I = P × r × t
*
* Try it: What base earns interest in this example?
*
* Lesson article: https://thefintechbuilder.com/financial-mathematics-statistics-and-data-foundations/financial-arithmetic-time-value-and-returns/simple-interest/
* Free course: https://courses.thefintechbuilder.com
* Synthetic teaching example, not financial advice or a production library.
*
* Run it: g++ -std=c++17 -o main main.cpp && ./main
*/
#include <charconv>
#include <cmath>
#include <iostream>
#include <string>
#include <utility>
#include <vector>
// Formats a double the way JSON.stringify does: shortest round-trip form, null for NaN or infinity.
std::string num(double x) {
if (!std::isfinite(x)) return "null";
char buffer[32];
auto [end, error] = std::to_chars(buffer, buffer + sizeof buffer, x);
(void)error;
return std::string(buffer, end);
}
std::string quote(const std::string& text) {
std::string out = "\"";
for (char c : text) {
if (c == '"' || c == '\\') out += '\\';
out += c;
}
return out + "\"";
}
// Indents an already formatted JSON value by one level.
std::string nested(const std::string& json) {
std::string out;
for (char c : json) {
out += c;
if (c == '\n') out += " ";
}
return out;
}
std::string object(const std::vector<std::pair<std::string, std::string>>& fields) {
if (fields.empty()) return "{}";
std::string out = "{";
for (std::size_t i = 0; i < fields.size(); ++i) {
out += i == 0 ? "\n " : ",\n ";
out += quote(fields[i].first) + ": " + nested(fields[i].second);
}
return out + "\n}";
}
struct SimpleInterest {
double interest;
double total;
};
SimpleInterest lesson011() {
const double principal = 1000;
const double annualRate = 0.05;
const double years = 3;
const double interest = principal * annualRate * years;
const SimpleInterest result{interest, principal + interest};
return result;
}
int main() {
const SimpleInterest result = lesson011();
std::cout << object({{"interest", num(result.interest)}, {"total", num(result.total)}}) << "\n";
}
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Read the code here, then run it in your own toolchain or a ready-made cloud workspace.
Expected output
{
"interest": 150,
"total": 1150
}//! Fintech Math Bootcamp · Lesson 011 of 120
//! Simple Interest
//! Module 02: Financial Arithmetic, Time Value, and Returns
//!
//! Scenario: A fixed-rate invoice financing illustration
//! Rule: I = P × r × t
//!
//! Try it: What base earns interest in this example?
//!
//! Lesson article: https://thefintechbuilder.com/financial-mathematics-statistics-and-data-foundations/financial-arithmetic-time-value-and-returns/simple-interest/
//! Free course: https://courses.thefintechbuilder.com
//! Synthetic teaching example, not financial advice or a production library.
//!
//! Run it: rustc main.rs && ./main
struct SimpleInterest {
interest: f64,
total: f64,
}
fn lesson011() -> SimpleInterest {
let principal = 1000.0;
let annual_rate = 0.05;
let years = 3.0;
let interest = principal * annual_rate * years;
let result = SimpleInterest { interest, total: principal + interest };
result
}
fn main() {
let result = lesson011();
println!(
"{}",
object(&[("interest", num(result.interest)), ("total", num(result.total))])
);
}
/// Formats a number the way JSON.stringify does: shortest round-trip form, null for NaN or infinity.
fn num(x: f64) -> String {
if x.is_finite() {
format!("{}", x)
} else {
"null".to_string()
}
}
fn quote(text: &str) -> String {
format!("\"{}\"", text.replace('\\', "\\\\").replace('"', "\\\""))
}
/// Indents an already formatted JSON value by one level.
fn nested(json: &str) -> String {
json.replace('\n', "\n ")
}
fn object(fields: &[(&str, String)]) -> String {
if fields.is_empty() {
return "{}".to_string();
}
let lines: Vec<String> = fields
.iter()
.map(|(key, value)| format!(" {}: {}", quote(key), nested(value)))
.collect();
format!("{{\n{}\n}}", lines.join(",\n"))
}
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Read the code here, then run it in your own toolchain or a ready-made cloud workspace.
Expected output
{
"interest": 150,
"total": 1150
}/**
* Fintech Math Bootcamp · Lesson 011 of 120
* Simple Interest
* Module 02: Financial Arithmetic, Time Value, and Returns
*
* Scenario: A fixed-rate invoice financing illustration
* Rule: I = P × r × t
*
* Try it: What base earns interest in this example?
*
* Lesson article: https://thefintechbuilder.com/financial-mathematics-statistics-and-data-foundations/financial-arithmetic-time-value-and-returns/simple-interest/
* Free course: https://courses.thefintechbuilder.com
* Synthetic teaching example, not financial advice or a production library.
*
* Run it: dotnet run (inside a console project that holds this Program.cs)
*/
using System.Text.Json;
var jsonOptions = new JsonSerializerOptions { WriteIndented = true, PropertyNamingPolicy = JsonNamingPolicy.CamelCase };
Console.WriteLine(JsonSerializer.Serialize(Lesson011(), jsonOptions));
static SimpleInterest Lesson011()
{
const double principal = 1000;
const double annualRate = 0.05;
const double years = 3;
const double interest = principal * annualRate * years;
var result = new SimpleInterest(interest, principal + interest);
return result;
}
record SimpleInterest(double Interest, double Total);
No browser runner for C# yet
Read the code here, then run it in your own toolchain or a ready-made cloud workspace.
Expected output
{
"interest": 150,
"total": 1150
}Prefer your own machine? Every file is in the course repository · open it in Codespaces.
Lesson notes
The rule
I = P × r × t