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FINANCIAL

Cash vs Installments Calculator

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Compare a cash price with discounted monthly payments using an entered opportunity-cost rate.

Your inputs

USD
USD
USD
months
%

Example values are shown. Edit them for your calculation.

Inputs stay in this page. No account needed.

Your result

FINANCIAL

Enter your values and select calculate.

On this page How it works & practical examples

How to use the Cash vs Installments Calculator

Use the actual installment amount and all upfront payments, then enter a rate representing your opportunity-cost assumption. Payments are discounted from the end of each month, so timing matters rather than just adding the nominal total.

The calculation

Installment present value = deposit + payment × [1−(1+r)^−n]/r; r = annual discount rate/12

Worked example

At a zero discount rate, $100 upfront plus ten $100 payments totals $1,100, so a $1,000 cash price has $100 lower present cost.

Assumptions and limits

No omitted fees, penalties, tax differences or credit risk are modeled. The discount rate is an assumption, not a guaranteed investment return. At zero rate, present and nominal payment totals coincide.

Common questions

Can a larger nominal total have lower present value?

Yes, at a sufficiently high discount assumption. That does not remove the obligation to make the payments.

Does this calculate loan APR?

No. It compares the supplied cash flows at your chosen discount rate.

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