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Calcimator

Boat Loan Calculator

Calculate monthly payments, total interest, and total cost for financing a boat purchase.

Inputs

$
$
%
years

Results

Monthly Payment

$427.33

≈ 8 tanks of gas

Total Cost

$60,279.16

≈ 5 years of state college

Total Interest$15,279.16
Loan Amount$36,000.00
Loan-to-Value80%
Down Payment20%
Total Payments$51,279.16

Amortising loan payment

  1. 1.Convert the annual rate to a monthly rate
    i=7.5%12=0.00625

    Payments are monthly, so every term in the formula has to be expressed per month.

  2. 2.Count the payments
    n=10×12=120

    The number of monthly payments over the whole term.

  3. 3.Solve for the level payment
    M=36,000×0.00625×2.1120652.1120651=427.33

    This comes from setting the present value of all n equal payments equal to the amount borrowed, then solving for the payment. The (1+i)ⁿ − 1 in the denominator is the sum of a geometric series — the same series that drains a pension or decays a drug in plasma, which is why one formula family serves calculators across several hubs.

Simon Stevin published the first printed interest tables, including the present value of an annuity — the relationship this payment formula inverts. Until then such tables were guarded as trade secrets by lenders.
Simon Stevin, Tafelen van Interest, Antwerp·1582
How to Use This Calculator
  1. Enter the boat price and your down payment in dollars.
  2. Input the annual interest rate (%) and loan term in years from your lender.
  3. Review the monthly payment and total interest costs in the results.
  4. Adjust the down payment or loan term to find a payment that fits your budget.
  5. Check the loan-to-value (LTV) ratio — lenders typically require LTV below 80-85%.

How the result changes with Boat Price

Boat PriceMonthly PaymentTotal Cost
1,000,900$11,774.03$1,421,883.42
3,500,650$41,446.50$4,982,580.39
6,500,350$77,053.47$9,255,416.75
9,000,100$106,725.95$12,816,113.72

What each input means

Boat Price
Purchase price of the boat.
Down Payment
Amount paid upfront toward the purchase.
Interest Rate
Annual interest rate on the boat loan.
Loan Term
Length of the loan in years.

How this is calculated

Worked example, using the default values

  1. Identify Input Parameters
    4 parameters
    Boat Price = 45000, Down Payment = 9000, Interest Rate = 7.5, Loan Term = 10 = 4 input(s) provided
  2. Calculate Monthly Payment
    Monthly Payment
    427.33 = $427.33
  3. Calculate Total Cost
    Total Cost
    60279.16 = $60,279.16
  4. Calculate Total Interest
    Total Interest
    15279.16 = $15,279.16
  5. Calculate Loan Amount
    Loan Amount
    36000 = $36,000

Shares mathematics with

These calculators are built on the same formula — Amortising loan payment.

See the whole formula atlas →

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