test_that("yc_nelson_siegel fits a curve", { d <- make_us_yields() fit <- yc_nelson_siegel(d$maturities, d$rates) expect_s3_class(fit, "yc_curve") expect_equal(fit$method, "nelson_siegel") expect_true(all(c("beta0", "beta1", "beta2", "tau") %in% names(fit$params))) expect_length(fit$fitted, length(d$maturities)) expect_length(fit$residuals, length(d$maturities)) }) test_that("yc_nelson_siegel achieves good fit", { d <- make_us_yields() fit <- yc_nelson_siegel(d$maturities, d$rates) rmse <- sqrt(mean(fit$residuals^2)) # RMSE should be under 50 bps (0.005) for a reasonable curve expect_true(rmse < 0.005) }) test_that("yc_nelson_siegel known values", { # Given known parameters, verify the model reproduces them beta0 <- 0.06 beta1 <- -0.02 beta2 <- 0.01 tau <- 2 m <- c(0.5, 1, 2, 5, 10, 30) # Generate synthetic data from known NS parameters synthetic_rates <- beta0 + beta1 * ((1 - exp(-m / tau)) / (m / tau)) + beta2 * ((1 - exp(-m / tau)) / (m / tau) - exp(-m / tau)) fit <- yc_nelson_siegel(m, synthetic_rates, tau_init = 2) # Should recover parameters closely expect_equal(fit$params$beta0, beta0, tolerance = 0.001) expect_equal(fit$params$beta1, beta1, tolerance = 0.001) expect_equal(fit$params$beta2, beta2, tolerance = 0.001) expect_equal(fit$params$tau, tau, tolerance = 0.01) }) test_that("yc_nelson_siegel handles flat curve", { d <- make_flat_yields() fit <- yc_nelson_siegel(d$maturities, d$rates) expect_s3_class(fit, "yc_curve") # beta0 should be close to the flat rate expect_equal(fit$params$beta0, 0.04, tolerance = 0.002) }) test_that("yc_nelson_siegel handles inverted curve", { d <- make_inverted_yields() fit <- yc_nelson_siegel(d$maturities, d$rates) expect_s3_class(fit, "yc_curve") # beta1 should be positive (short > long) expect_true(fit$params$beta1 > 0) }) test_that("yc_nelson_siegel accepts date", { d <- make_simple_yields() fit <- yc_nelson_siegel(d$maturities, d$rates, date = as.Date("2024-03-15")) expect_equal(fit$date, as.Date("2024-03-15")) }) test_that("yc_nelson_siegel handles negative rates", { # EUR/JPY-style negative rates (2015-2022 era) m <- c(0.5, 1, 2, 5, 10, 30) rates <- c(-0.005, -0.004, -0.003, -0.001, 0.002, 0.005) fit <- yc_nelson_siegel(m, rates) expect_s3_class(fit, "yc_curve") rmse <- sqrt(mean(fit$residuals^2)) expect_true(rmse < 0.005) }) test_that("yc_nelson_siegel handles near-zero rates", { m <- c(1, 2, 5, 10, 30) rates <- c(0.001, 0.0012, 0.0015, 0.002, 0.003) fit <- yc_nelson_siegel(m, rates) expect_s3_class(fit, "yc_curve") rmse <- sqrt(mean(fit$residuals^2)) expect_true(rmse < 0.005) }) test_that("yc_nelson_siegel weighted fitting", { d <- make_us_yields() # Weight the 10Y and 30Y heavily w <- rep(1, length(d$maturities)) w[d$maturities %in% c(10, 30)] <- 10 fit_w <- yc_nelson_siegel(d$maturities, d$rates, weights = w) fit_uw <- yc_nelson_siegel(d$maturities, d$rates) # Weighted fit should have smaller residuals at 10Y and 30Y idx <- which(d$maturities %in% c(10, 30)) expect_true(sum(fit_w$residuals[idx]^2) <= sum(fit_uw$residuals[idx]^2) + 1e-6) }) test_that("yc_nelson_siegel warns with fewer than 4 points", { expect_warning( yc_nelson_siegel(c(1, 2, 5), c(0.04, 0.042, 0.043)), "fewer than 4" ) }) test_that("yc_nelson_siegel rejects bad inputs", { expect_error(yc_nelson_siegel("a", 0.04), "numeric") expect_error(yc_nelson_siegel(c(1, 2), c(0.04)), "same length") expect_error(yc_nelson_siegel(c(1, 2), c(0.04, 0.05), tau_init = -1), "positive") })