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Financial Risk Manager Part 1

Financial Risk Manager Part 1

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An investor approaches a swap dealer wishing to engage in a total return swap. The underlying asset is 10millionprincipalamountofa910 million principal amount of a 9% BB-rated 5-year corporate bond that has semiannual interest payments. The swap dealer agrees to pay the total return on this bond for the coming 6 months in return for payments based on (1) an interest rate of 6-month LIBOR plus a spread of 30 basis points and (2) a notional principal amount equal to the face value of the underlying asset, 10millionprincipalamountofa910 million. At the swap date, the bond is worth par, and the 6-month LIBOR is 6%. Suppose that at the termination date, the value of the bond has still not changed. Determine the net payment and the party that is owed. (Use discrete compounding.)

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Explanation:

Explanation

In a total return swap:

  • Swap dealer pays the total return on the bond (coupon payments + capital gains/losses)
  • Investor pays LIBOR + spread

Given:

  • Notional principal = $10,000,000
  • Bond coupon rate = 9% (semiannual payments)
  • LIBOR = 6%
  • Spread = 30 bps (0.30%)
  • Bond value unchanged (no capital gains/losses)

Calculations:

Swap dealer's payment to investor:

  • Coupon payment = 10,000,000×910,000,000 × 9% × 6/12 = 10,000,000×9450,000
  • Capital gain = $0 (bond value unchanged)
  • Total payment from dealer = $450,000

Investor's payment to dealer:

  • LIBOR + spread = 6% + 0.30% = 6.30%
  • Payment = 10,000,000×6.3010,000,000 × 6.30% × 6/12 = 10,000,000×6.30315,000

Net payment:

  • Net = 450,000(dealerpays)−450,000 (dealer pays) - 450,000(dealerpays)−315,000 (investor pays) = $135,000
  • Since this is positive, the investor receives the net payment

Therefore, the net payment is $135,000 and the investor is the owed party.

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