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You observe following three financial securities in the market: Regular Annuity: Maturity = 5 years, Annual payments in arrears = $21.000, Current price = $X.

You observe following three financial securities in the market:

  • Regular Annuity: Maturity = 5 years, Annual payments in arrears = $21.000, Current price = $X.
  • Regular coupon bond: Maturity = 5 years, Face value = $1,500.000, Coupon rate = 7.000%, Current price = $1398.810.
  • Zero-coupon bond: Maturity = 5 years, Face value = $500.000, Current price = $332.520.

Suppose that, you are convinced that the prices of zero-coupon and regular coupon bonds are done correctly in the market. Then, as per you, what should be the fundamental (theoretical) price of the regular annuity, as per the no-arbitrage principle? In other words, what is the value of X?

[Round-off to at least 3 decimal places.]

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