# 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:
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:
Step 2 — amortize the loan. A standard installment loan with monthly rate r = APR/12 over n months has a fixed monthly payment:
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:
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
>> 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
| year | TTD paid | USD paid | rate | side account |
|---|---|---|---|---|
| 1 | TT$19,929 | US$2,355 | 8.69 | US$3,943 |
| 2 | TT$19,929 | US$2,222 | 9.21 | US$1,838 |
| 3 | TT$19,929 | US$2,096 | 9.77 | US$-223 |
totals: TT$59,786 repaid; US$6,673 gross outlay vs US$6,098 cash.
## reading the gauges
- * cash today vs loan, net — the headline comparison. “Loan, gross” is every outlay converted at projected rates with no credit for yield; “loan, net” subtracts what your retained dollars earned along the way. Net is the number that decides.
- * breakeven depreciation — the annual TTD slide at which both routes cost the same. If you believe the currency will weaken faster than this, finance it; slower, pay cash. When your honest estimate straddles the breakeven, the trade has no edge — let convenience or liquidity decide instead.
- * effective USD cost of debt — the TTD APR deflated by depreciation, (1 + APR)/(1 + d) − 1. Compare it directly to your USD yield: borrowing at an effective 5.7% while earning 4% is a losing carry before convenience value.
- * term length — longer terms give depreciation more time to work and amplify whichever side is winning. A marginal trade at 24 months can be clearly positive at 60 — but only if your depreciation assumption holds that long.
- * down payment — every dollar paid up front is converted at today’s rate and earns nothing, so it dilutes the carry in either direction. Minimize it when the loan is winning; it barely matters when cash is winning.
## what can go wrong
- * depreciation is an assumption, not a promise. The parallel premium can compress — a policy shift, a new USD facility, an official devaluation that closes the gap. Your short TTD position only pays if the slide continues.
- * sticker APR is rarely the real APR. Processing fees, mandatory insurance, and add-ons push the effective rate up. Recompute the true APR from the actual payment schedule before trusting the verdict.
- * leverage plus income shock is the classic blowup. The carry math assumes your USD income keeps arriving. A fixed TTD obligation with interrupted USD income forces you to unwind at the worst time.
- * the parallel market is not a guaranteed venue. Spreads widen and liquidity thins exactly when everyone needs it. Haircut the rate you assume you can actually achieve.
- * this comparison is financing-only. Both routes buy the good today at today’s TTD price, so waiting-and-saving is not modeled — and in an importing economy, waiting usually means the TTD price itself rises with the rate.
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.