Which inputs does Loan comparison calculator use?

It uses the visible fields Loan amount, Annual rate a, Term months a, Upfront fees a, Annual rate b, Term months b, Upfront fees b. No hidden value is substituted for an omitted required input.

What happens when Loan comparison calculator receives an invalid or extreme value?

The page rejects missing, ambiguous, out-of-range, or non-finite values and refuses to display a non-finite result.

Why can Loan comparison calculator differ from another result?

Different unit conventions, endpoint policies, fee or rate assumptions, formula domains, and premature rounding can produce a different answer.

Can I use Loan comparison calculator as professional advice?

No. It is an educational estimate, not financial, tax, investment, accounting, or lender advice.

How can I verify the Loan comparison calculator result?

Recalculate the two evaluated examples without rounding intermediate values and compare the declared formula or convention with OpenStax Principles of Finance.

Loan comparison calculator

ResultA: 587.13 · B: 495.03

Formula

Loan comparison calculator evaluates the registered expression “Mⱼ={P/nⱼ:iⱼ=0;P·iⱼ(1+iⱼ)^nⱼ/((1+iⱼ)^nⱼ−1):iⱼ≠0}; Cⱼ=nⱼMⱼ+feeⱼ; P=x₁; (i₁,n₁,fee₁)=(x₂/1200,x₃,x₄); (i₂,n₂,fee₂)=(x₅/1200,x₆,x₇); x₁=Loan amount; x₂=Annual rate a; x₃=Term months a; x₄=Upfront fees a; x₅=Annual rate b; x₆=Term months b; x₇=Upfront fees b” with the validated inputs. Full calculation precision is retained until the result is formatted for display.

Mⱼ={P/nⱼ:iⱼ=0;P·iⱼ(1+iⱼ)^nⱼ/((1+iⱼ)^nⱼ−1):iⱼ≠0}; Cⱼ=nⱼMⱼ+feeⱼ; P=x₁; (i₁,n₁,fee₁)=(x₂/1200,x₃,x₄); (i₂,n₂,fee₂)=(x₅/1200,x₆,x₇); x₁=Loan amount; x₂=Annual rate a; x₃=Term months a; x₄=Upfront fees a; x₅=Annual rate b; x₆=Term months b; x₇=Upfront fees b

OpenStax Principles of Finance

What this calculator answers

Loan comparison calculator is a personal and business finance tool. Calculate loan comparison with explicit inputs, validation, and a documented formula. It uses only the values and choices shown on this page and does not infer hidden data.

Variables, defaults, and limits

Loan amount: Loan amount is a number input. The displayed starter value is 25,000; it is an example, not a hidden assumption.; Default: 25,000; Accepted values: Minimum: 0.01. Numeric entries must be finite and unambiguous.
Annual rate a: Annual rate a is a number input. The displayed starter value is 6; it is an example, not a hidden assumption.; Default: 6; Accepted values: Allowed range: 0 to 100. Numeric entries must be finite and unambiguous.
Term months a: Term months a is a number input. The displayed starter value is 48; it is an example, not a hidden assumption.; Default: 48; Accepted values: Allowed range: 1 to 1,200. Numeric entries must be finite and unambiguous.
Upfront fees a: Upfront fees a is a number input. The displayed starter value is 250; it is an example, not a hidden assumption.; Default: 250; Accepted values: Minimum: 0. Numeric entries must be finite and unambiguous.
Annual rate b: Annual rate b is a number input. The displayed starter value is 7; it is an example, not a hidden assumption.; Default: 7; Accepted values: Allowed range: 0 to 100. Numeric entries must be finite and unambiguous.
Term months b: Term months b is a number input. The displayed starter value is 60; it is an example, not a hidden assumption.; Default: 60; Accepted values: Allowed range: 1 to 1,200. Numeric entries must be finite and unambiguous.
Upfront fees b: Upfront fees b is a number input. The displayed starter value is 0; it is an example, not a hidden assumption.; Default: 0; Accepted values: Minimum: 0. Numeric entries must be finite and unambiguous.

Formula and calculation rule

Mⱼ={P/nⱼ:iⱼ=0;P·iⱼ(1+iⱼ)^nⱼ/((1+iⱼ)^nⱼ−1):iⱼ≠0}; Cⱼ=nⱼMⱼ+feeⱼ; P=x₁; (i₁,n₁,fee₁)=(x₂/1200,x₃,x₄); (i₂,n₂,fee₂)=(x₅/1200,x₆,x₇); x₁=Loan amount; x₂=Annual rate a; x₃=Term months a; x₄=Upfront fees a; x₅=Annual rate b; x₆=Term months b; x₇=Upfront fees b

Worked examples