Cargo insurance premium calculator (with minimum premium)

Premium, CIF price and insured amount, with an optional minimum premium

CIF = CFR ÷ (1 − markup × rate); premium = CIF − CFR. If you enter a minimum premium that is higher than the premium the rate gives, the premium is the minimum and CIF = CFR + minimum.

Example: goods of USD 20,000.00 plus USD 2,000.00 freight make a CFR of USD 22,000.00; at an insurance rate of 0.5 % (per cent), insured at 110% of CIF, the premium is USD 121.67 and the CIF price is USD 22,121.67 (rounded half up to 2 decimal places).

Source: Incoterms® 2020 rules, International Chamber of Commerce (the CIF term)

Sample data

Rate is in

Result

Goods (FOB total)
USD 20,000.00
This calculator needs JavaScript to run. The formula and the worked example below work without it.
CFR price
USD 22,000.00
Insurance premium
USD 121.67
CIF price
USD 22,121.67
Insured amount
USD 24,333.84
  1. GoodsFOB unit price × quantity, rounded to 0.01USD 2.00 × 10,000 = USD 20,000.00
  2. CFR priceCFR = goods + freight and other chargesUSD 20,000.00 + freight and other charges USD 2,000.00 = USD 22,000.00
  3. Insurance factor kk = markup × insurance rate (per mille worked as one thousandth)Insured at 110% × rate 0.5% = k 0.55%
  4. Insurance premiumBy the rate: CFR × k ÷ (1 − k); with a minimum premium, the larger of the two, rounded to 0.01By the rate USD 121.67, premium USD 121.67
  5. CIF priceCIF = CFR + premiumUSD 22,000.00 + premium USD 121.67 = CIF USD 22,121.67
  6. Insured amountInsured amount = CIF × markup, rounded to 0.01USD 22,121.67 × 110% = USD 24,333.84

Formula

Goods and CFR = goods = FOB unit price × quantity; CFR = goods + freight and other chargeseach amount is rounded to 0.01 and used as printed
Factor k = k = markup ÷ 100 × insurance rate (per mille as 1/1000, per cent as 1/100)
Premium by the rate = CFR × k ÷ (1 − k)the premium is itself part of the insured CIF value, hence the division by (1 − k)
Minimum premium = premium = the minimum when it is greater than the premium by the rate; otherwise by the rateyou enter the minimum yourself; this site supplies no insurer's rate or minimum
CIF price and insured amount = CIF = CFR + premium; insured amount = CIF × markup ÷ 100
Not covered
  • You enter the rate and any minimum premium; this site supplies and recommends no insurer's rate. The figures the page opens on are an example, not a rate to use.
  • Rates vary by insurer and route, and the result is for reference, not a quotation.
  • The premium is charged on the insured amount of a CIF price that already contains it (the same working as this site's FOB/CIF/CFR quotes). A freight forwarder's page that insures CFR × 110% without this step gives a slightly different figure.
  • Every currency is worked to two decimal places; currencies with no minor unit, such as JPY and KRW, are not handled separately yet.

Worked example

Example inputs: Currency USD; FOB unit price 2; Quantity 10000; Freight and other charges 2000; Insurance rate 0.5; Rate is in % (per cent); Insured at (% of CIF) 110

StepWorking
GoodsUSD 2.00 × 10,000 = USD 20,000.00
CFR priceNo freight or other charges, so the CFR is the goods: USD 22,000.00
Insurance factor kInsured at 110% × rate 0.5% = k 0.55%
Insurance premiumBy the rate USD 121.67, premium USD 121.67
CIF priceUSD 22,000.00 + premium USD 121.67 = CIF USD 22,121.67
Insured amountUSD 22,121.67 × 110% = USD 24,333.84

FAQ

What does Cargo insurance premium give for an example?
Example: goods of USD 20,000.00 plus USD 2,000.00 freight make a CFR of USD 22,000.00; at an insurance rate of 0.5 % (per cent), insured at 110% of CIF, the premium is USD 121.67 and the CIF price is USD 22,121.67 (rounded half up to 2 decimal places).
How is a cargo insurance premium worked out?
Start from the CFR (goods plus freight). The premium is the rate on the insured amount (the CIF price × the markup, usually 110%), and the premium is itself part of the CIF price, so CIF = CFR ÷ (1 − markup × rate) and premium = CIF − CFR.
How does a minimum premium apply?
Many insurers set a minimum premium per policy. This tool takes the larger of the premium by the rate and the minimum you enter; when the minimum applies, CIF = CFR + minimum. You enter the minimum yourself; this site does not supply one.
Should the rate be per mille or per cent?
Either: pick the unit under “Rate is in”. 5‰ is 0.5%. Many calculators use per mille and many explainers use per cent; a wrong unit is a factor of ten, so the tool warns you to check the unit when the rate is above 2%.

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Results are for reference only. The figures confirmed by the tax authorities, banks and carriers prevail.Disclaimer

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