How to Use the INTRATE and RECEIVED Functions in Google Sheets for Fully Invested Securities

While standard bonds distribute periodic coupon interest on a semi-annual or annual basis, many money market instruments—such as commercial paper, certificates of deposit (CDs), and non-callable short-term notes—are fully invested securities. These instruments generate returns entirely through interest accrued and disbursed at maturity rather than through regular coupons. In Google Sheets, evaluating such investments without manual day-count formulas is streamlined by two specialized financial functions: INTRATE and RECEIVED.

Core Financial Concepts: INTRATE vs RECEIVED

Both functions evaluate non-periodic securities, but they solve for opposite sides of the investment equation:

  • INTRATE: Calculates the effective annualised interest rate generated by a security based on the initial capital invested and the final amount redeemed at maturity.
  • RECEIVED: Calculates the final total amount received at maturity for a fully invested security given the initial investment sum, investment dates, and stated discount or interest rate.

Syntax and Parameter Signatures

Both functions require accurate calendar dates and financial day-count conventions:

=INTRATE(settlement, maturity, investment, redemption, [day_count_convention])
=RECEIVED(settlement, maturity, investment, discount, [day_count_convention])

The parameter breakdown is structured as follows:

Parameter Function Scope Data Type Description
settlement Both Date The date after issue when the security is delivered to the buyer. Use DATE().
maturity Both Date The final expiration date when the instrument matures. Must be later than settlement.
investment Both Currency / Number The principal purchase price paid for the security (must be positive).
redemption INTRATE Currency / Number The total redemption amount received at maturity, including principal and interest.
discount RECEIVED Percentage / Number The annualised discount rate applied to the security (e.g. 0.045 for 4.5%).
day_count_convention Both (Optional) Integer 0: US 30/360 (default), 1: Actual/Actual, 2: Actual/360, 3: Actual/365, 4: European 30/360.

Step-by-Step Implementation in Google Sheets

To construct an automated valuation model in Google Sheets:

  1. Open your spreadsheet and assign your financial parameters into structured cells:
    • Cell B2 (Settlement Date): =DATE(2026, 3, 15)
    • Cell B3 (Maturity Date): =DATE(2026, 12, 15)
    • Cell B4 (Initial Capital Invested): ÂŁ100,000
    • Cell B5 (Maturity Redemption Payout): ÂŁ103,850
    • Cell B6 (Day Count Basis): 3 (Actual/365 for UK Gilts/Sterling paper)
  2. To calculate the effective annual interest rate of this investment, enter in cell B8:
    =INTRATE(B2, B3, B4, B5, B6)

    Google Sheets returns 5.12% annualised yield.

  3. To calculate the expected gross payout from a discounted ÂŁ50,000 corporate paper note purchased at a 4.25% discount rate over the same period, enter in cell B9:
    =RECEIVED(B2, B3, 50000, 4.25%, B6)

Day-Count Basis Selection and Yield Accuracy

Because short-term securities mature within weeks or months, selecting the correct day-count convention is critical to avoid basis-point discrepancies:

Basis Value Convention Name Standard Financial Markets
0 US (NASD) 30/360 US Corporate bonds, Municipal debt
1 Actual/Actual US Treasury Bills and Sovereign Government Bonds
2 Actual/360 Euro-commercial paper, Money market interbank deposits
3 Actual/365 UK Sterling commercial paper, Commonwealth sovereign debt
4 European 30/360 Eurozone corporate and municipal notes

Troubleshooting Common Calculation Errors

When modeling fixed-income cash flows, address these common formula flags:

  • #NUM!: Occurs when settlement ≥ maturity, or when investment ≤ 0, or when redemption ≤ investment.
  • #VALUE!: Caused by invalid date inputs entered as plain unformatted text. Ensure all dates are wrapped in DATE(YYYY, MM, DD) or referenced from validated date cells.

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