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# Credit vs Cash in a Two-Rate Economy

on financing large purchases when a currency has two prices

contents

In Trinidad & Tobago, a US dollar has two prices. The banking system quotes one — roughly 6.8 TTD per USD. Hard currency is scarce, though, so a parallel market exists where the same dollar changes hands closer to 8.2. When one dollar has two prices, a large purchase made by anyone whose income is in hard currency quietly becomes a currency trade — and the question “finance this or pay cash?” stops being about discipline and starts being about arithmetic.

This walkthrough lays out how to decide whether to take a TTD loan (or buy on credit) for a big purchase instead of paying for it outright. It ends with a calculator so you can turn the knobs against your own assumptions.

## two prices for one dollar

The official exchange rate is what the banking system quotes: roughly 6.8 TTD per USD. But hard currency is scarce, so a parallel market exists where a US dollar clears closer to 8.2 TTD. For anyone whose income is denominated in USD, that income is worth about 20% more than the official rate admits — but only when it is converted at the parallel price.

That gap matters for purchases because local goods are priced in TTD. The real cost of anything, to a hard-currency earner, is its TTD price divided by the rate their dollars actually fetch. A TT$50,000 purchase costs about US$6,100 at 8.2 — not the US$7,350 the official rate implies.

## why credit can beat cash

A TTD loan is, mechanically, a short position on the TTD. The borrower receives purchasing power today and promises to return TTD later. When income is in USD and the TTD keeps losing ground against the dollar year over year, every future installment costs fewer dollars than it would today. The currency does part of the repaying.

There is a second effect: the dollars not spent today can sit somewhere that yields — a money market fund, treasury bills, even a conservative stablecoin position. The loan costs interest in TTD; the retained dollars earn yield in USD; the exchange rate drifts in the borrower’s favor. The net of those three flows is the carry, and it can be positive.

The intuition in one line:

loan beats cash (roughly) when  APR < depreciation + USD yield

A 12% TTD loan against 6% annual depreciation and 4% USD yield is a near coin-flip — which is exactly why you want to run the actual numbers instead of trusting the vibe.

## the walkthrough

Step 1 — price the purchase in the currency you earn. Ignore the official rate entirely; it is not the rate available to you. The cash cost of the purchase is:

cash_usd = price_ttd / parallel_rate

Step 2 — amortize the loan. A standard installment loan with monthly rate r = APR/12 over n months has a fixed monthly payment:

M = principal × r / (1 − (1 + r)⁻ⁿ)

Step 3 — project the exchange rate. Pick an annual depreciation assumption d for the TTD against the USD on the parallel market, and compound it monthly:

rate_t = parallel_rate × (1 + d)^(t/12)

This is the most consequential knob and the least knowable. Anchor it to history — where was the parallel rate two or three years ago versus today? — and then test the verdict against gentler and harsher assumptions.

Step 4 — convert every installment back to dollars. Each month’s TTD payment is covered by converting dollars at that month’s projected rate, so installment t costs M / rate_t dollars. Later payments are cheaper in USD than earlier ones.

Step 5 — pay the loan from a shadow account. To compare fairly against paying cash, imagine funding a side account with exactly the cash price (cash_usd) on day one. It earns your USD yield. Every month you withdraw just enough to cover that month’s installment. Whatever is left in the account when the loan ends is your carry profit. If the account runs negative, cash was cheaper — the shortfall is what the loan cost you.

That single leftover number settles the question, because both routes started from identical dollars and ended with you owning the same good.

## the calculator

The defaults below match the scenario above: a TT$50,000 purchase, an 8.2 parallel rate against a 6.8 official rate, a 12% loan over 36 months, 6% annual depreciation, and 4% yield on retained dollars. Drag the knobs; the gauges and the verdict update live.

knobs

gauges

cash todayUS$6,098
loan, grossUS$6,673
loan, netUS$6,321

>> paying cash is cheaper by US$223 (3.7%)

parallel premium: 20.6% over official

monthly payment: TT$1,661

effective USD cost of debt: 5.66%/yr

installment in USD: US$202 first, US$170 last

breakeven depreciation: 8.3%/yr

projected rate at term end: 9.77 TTD/USD

year-by-year schedule
yearTTD paidUSD paidrateside account
1TT$19,929US$2,3558.69US$3,943
2TT$19,929US$2,2229.21US$1,838
3TT$19,929US$2,0969.77US$-223

totals: TT$59,786 repaid; US$6,673 gross outlay vs US$6,098 cash.

## reading the gauges

## what can go wrong

None of this is financial advice — it is a framework for replacing a gut feeling with a number. The gut still gets a vote; it just votes last.


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