FX Hedging Cost Calculator
Estimate the cost of hedging Kwanza exposure through USD-indexed bonds (OTRV) versus unhedged Kwanza instruments.
This calculator is being enhanced with full interactivity. Current data is provided for reference.
The Kwanza (AOA) has depreciated by more than 60% against the US dollar over the past five years, making currency risk the single largest variable for international investors holding Angolan assets. At the current BNA reference rate of approximately 914.60 AOA/USD, the cost of leaving Kwanza exposure unhedged can dwarf the nominal yield advantage that Kwanza-denominated instruments offer over their USD-indexed counterparts.
What This Tool Does
The FX Hedging Simulator models two parallel investment paths for the same capital amount: an unhedged position in Kwanza-denominated treasury securities (Bilhetes do Tesouro or Obrigacoes do Tesouro) versus a hedged position using USD-indexed sovereign bonds (OT-NR or Obrigacoes do Tesouro de Taxa Variavel, OTRV). The tool calculates the break-even depreciation rate – the annual rate of Kwanza depreciation at which the higher nominal yield on Kwanza instruments exactly offsets the FX loss versus the USD-indexed alternative.
How to Use It
- Enter your investment amount in either USD or AOA. The tool converts at the current BNA reference rate (~914.60).
- Set the Kwanza instrument yield – the default is 14.8% for 91-day treasury bills, but you can enter any rate to model longer-duration OTs (up to ~16.8% for 5-year bonds).
- Set the USD-indexed instrument yield – typically 8.5% for OT-NR or 9.0% for OTRV series.
- Enter your assumed annual Kwanza depreciation rate (or let the tool calculate the break-even rate).
- Review the output, which shows total return in both USD and AOA terms for each strategy, the hedging cost (yield differential sacrificed), and the break-even FX rate.
Worked Example: BT vs. OT-NR Over 12 Months
An investor deploys $100,000 (Kz 91,460,000 at current rates) and compares two strategies over one year:
| Metric | Kwanza BT (Unhedged) | USD-Indexed OT-NR (Hedged) |
|---|---|---|
| Investment Amount | Kz 91,460,000 | Kz 91,460,000 |
| Nominal Yield | 14.8% | 8.5% + FX adjustment |
| Gross Return (AOA) | Kz 13,536,080 | Kz 7,774,100 + FX gain |
| IAC Tax (10%) | Kz 1,353,608 | Kz 777,410 |
| Net Return (AOA) | Kz 12,182,472 | Kz 6,996,690 + FX gain |
If the Kwanza depreciates 7% over the year (from 914.60 to ~978.62 per USD):
- The unhedged BT position is worth $105,823 in USD terms (Kz 103,642,472 / 978.62), a return of just 5.8% in dollar terms despite the 14.8% nominal yield.
- The OT-NR position adjusts principal and coupons for depreciation, delivering approximately $107,650 equivalent, or a 7.7% USD return.
Break-even depreciation rate: approximately 6.3% annually. If the Kwanza depreciates faster than 6.3% per year, the USD-indexed bond outperforms despite its lower nominal coupon. If the Kwanza is stable or appreciates, the higher-yielding BT wins.
The Implicit Hedging Cost
The yield differential between Kwanza instruments and USD-indexed bonds represents the market’s implied cost of currency protection. At current rates:
| Instrument Pair | Kwanza Yield | USD Yield | Hedging Cost (Spread) |
|---|---|---|---|
| BT 91-day vs. OT-NR 5-year | 14.8% | 8.5% | 6.3 percentage points |
| OT 3-year vs. OT-NR 5-year | 16.2% | 8.5% | 7.7 percentage points |
| OT 5-year vs. OTRV 7-year | 16.8% | 9.0% | 7.8 percentage points |
This 6-8 percentage point spread is the implicit price of FX protection. Whether that cost is justified depends entirely on your view of the Kwanza’s trajectory relative to the BNA’s policy stance. The January 2026 rate cut to 17.5% suggests the central bank is prioritizing growth over currency defense, which historically has correlated with periods of accelerated depreciation.
Partial Hedging Strategies
Not every position needs to be fully hedged or fully unhedged. Many institutional investors adopt a blended approach – for example, allocating 60% to Kwanza instruments and 40% to USD-indexed bonds. This tool models any split, showing the combined portfolio return under various depreciation scenarios.
For detailed FX rate analysis, pair this simulator with the FX Converter for spot rate calculations. The Asset Allocation Optimizer can help determine the optimal hedged/unhedged split within a broader portfolio, while the Real Return Calculator verifies that your chosen strategy delivers positive returns after inflation and taxes. Use the Bond Calculator to price individual OT-NR and OTRV series before committing to a hedging position.