Arrow-Pratt CE Approximation
curl --request POST \
--url https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '
{
"mean": 10000,
"variance": 4000000,
"risk_aversion": 0.0001
}
'import requests
url = "https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation"
payload = {
"mean": 10000,
"variance": 4000000,
"risk_aversion": 0.0001
}
headers = {
"X-API-Key": "<api-key>",
"Content-Type": "application/json"
}
response = requests.post(url, json=payload, headers=headers)
print(response.text)const options = {
method: 'POST',
headers: {'X-API-Key': '<api-key>', 'Content-Type': 'application/json'},
body: JSON.stringify({mean: 10000, variance: 4000000, risk_aversion: 0.0001})
};
fetch('https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation', options)
.then(res => res.json())
.then(res => console.log(res))
.catch(err => console.error(err));<?php
$curl = curl_init();
curl_setopt_array($curl, [
CURLOPT_URL => "https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation",
CURLOPT_RETURNTRANSFER => true,
CURLOPT_ENCODING => "",
CURLOPT_MAXREDIRS => 10,
CURLOPT_TIMEOUT => 30,
CURLOPT_HTTP_VERSION => CURL_HTTP_VERSION_1_1,
CURLOPT_CUSTOMREQUEST => "POST",
CURLOPT_POSTFIELDS => json_encode([
'mean' => 10000,
'variance' => 4000000,
'risk_aversion' => 0.0001
]),
CURLOPT_HTTPHEADER => [
"Content-Type: application/json",
"X-API-Key: <api-key>"
],
]);
$response = curl_exec($curl);
$err = curl_error($curl);
curl_close($curl);
if ($err) {
echo "cURL Error #:" . $err;
} else {
echo $response;
}package main
import (
"fmt"
"strings"
"net/http"
"io"
)
func main() {
url := "https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation"
payload := strings.NewReader("{\n \"mean\": 10000,\n \"variance\": 4000000,\n \"risk_aversion\": 0.0001\n}")
req, _ := http.NewRequest("POST", url, payload)
req.Header.Add("X-API-Key", "<api-key>")
req.Header.Add("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)
defer res.Body.Close()
body, _ := io.ReadAll(res.Body)
fmt.Println(string(body))
}HttpResponse<String> response = Unirest.post("https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation")
.header("X-API-Key", "<api-key>")
.header("Content-Type", "application/json")
.body("{\n \"mean\": 10000,\n \"variance\": 4000000,\n \"risk_aversion\": 0.0001\n}")
.asString();require 'uri'
require 'net/http'
url = URI("https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation")
http = Net::HTTP.new(url.host, url.port)
http.use_ssl = true
request = Net::HTTP::Post.new(url)
request["X-API-Key"] = '<api-key>'
request["Content-Type"] = 'application/json'
request.body = "{\n \"mean\": 10000,\n \"variance\": 4000000,\n \"risk_aversion\": 0.0001\n}"
response = http.request(request)
puts response.read_body{
"success": true,
"data": {
"certainty_equivalent": 9800
}
}{
"detail": "Invalid API key"
}{
"detail": "Endpoint requires Basic tier or higher"
}{
"detail": [
{
"loc": [
"body",
"variance"
],
"msg": "ensure this value is greater than or equal to 0",
"type": "value_error.number.not_ge"
}
]
}quantlib-economics
Arrow-Pratt CE Approximation
Calculate Arrow-Pratt second-order approximation of certainty equivalent: CE ≈ μ - (A/2)*σ² where μ is mean, σ² is variance, and A is absolute risk aversion. Valid for small risks and provides closed-form approximation without numerical inversion. Returns approximate certainty equivalent. Use for quick risk adjustments and mean-variance analysis. [Tier: STANDARD, Credits: 2]
POST
/
quantlib
/
economics
/
utility
/
certainty-equivalent-approximation
Arrow-Pratt CE Approximation
curl --request POST \
--url https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation \
--header 'Content-Type: application/json' \
--header 'X-API-Key: <api-key>' \
--data '
{
"mean": 10000,
"variance": 4000000,
"risk_aversion": 0.0001
}
'import requests
url = "https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation"
payload = {
"mean": 10000,
"variance": 4000000,
"risk_aversion": 0.0001
}
headers = {
"X-API-Key": "<api-key>",
"Content-Type": "application/json"
}
response = requests.post(url, json=payload, headers=headers)
print(response.text)const options = {
method: 'POST',
headers: {'X-API-Key': '<api-key>', 'Content-Type': 'application/json'},
body: JSON.stringify({mean: 10000, variance: 4000000, risk_aversion: 0.0001})
};
fetch('https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation', options)
.then(res => res.json())
.then(res => console.log(res))
.catch(err => console.error(err));<?php
$curl = curl_init();
curl_setopt_array($curl, [
CURLOPT_URL => "https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation",
CURLOPT_RETURNTRANSFER => true,
CURLOPT_ENCODING => "",
CURLOPT_MAXREDIRS => 10,
CURLOPT_TIMEOUT => 30,
CURLOPT_HTTP_VERSION => CURL_HTTP_VERSION_1_1,
CURLOPT_CUSTOMREQUEST => "POST",
CURLOPT_POSTFIELDS => json_encode([
'mean' => 10000,
'variance' => 4000000,
'risk_aversion' => 0.0001
]),
CURLOPT_HTTPHEADER => [
"Content-Type: application/json",
"X-API-Key: <api-key>"
],
]);
$response = curl_exec($curl);
$err = curl_error($curl);
curl_close($curl);
if ($err) {
echo "cURL Error #:" . $err;
} else {
echo $response;
}package main
import (
"fmt"
"strings"
"net/http"
"io"
)
func main() {
url := "https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation"
payload := strings.NewReader("{\n \"mean\": 10000,\n \"variance\": 4000000,\n \"risk_aversion\": 0.0001\n}")
req, _ := http.NewRequest("POST", url, payload)
req.Header.Add("X-API-Key", "<api-key>")
req.Header.Add("Content-Type", "application/json")
res, _ := http.DefaultClient.Do(req)
defer res.Body.Close()
body, _ := io.ReadAll(res.Body)
fmt.Println(string(body))
}HttpResponse<String> response = Unirest.post("https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation")
.header("X-API-Key", "<api-key>")
.header("Content-Type", "application/json")
.body("{\n \"mean\": 10000,\n \"variance\": 4000000,\n \"risk_aversion\": 0.0001\n}")
.asString();require 'uri'
require 'net/http'
url = URI("https://api.fincept.in/quantlib/economics/utility/certainty-equivalent-approximation")
http = Net::HTTP.new(url.host, url.port)
http.use_ssl = true
request = Net::HTTP::Post.new(url)
request["X-API-Key"] = '<api-key>'
request["Content-Type"] = 'application/json'
request.body = "{\n \"mean\": 10000,\n \"variance\": 4000000,\n \"risk_aversion\": 0.0001\n}"
response = http.request(request)
puts response.read_body{
"success": true,
"data": {
"certainty_equivalent": 9800
}
}{
"detail": "Invalid API key"
}{
"detail": "Endpoint requires Basic tier or higher"
}{
"detail": [
{
"loc": [
"body",
"variance"
],
"msg": "ensure this value is greater than or equal to 0",
"type": "value_error.number.not_ge"
}
]
}Authorizations
API key for authentication. Get your key at https://api.fincept.in/auth/register
Body
application/json
⌘I
