Page 239 - AFM Integrated Workbook STUDENT S18-J19
P. 239

Hedging interest rate risk





                   Which exercise prices?

                   The put option (cap) needs to correspond to the higher interest rate and the
                   call (floor) must correspond to the lower.

                   i.e. use puts at 94.00 and calls at 94.50 here.

                   Contact the exchange: We need to buy 10 June put options at a strike price of
                   94.00, and simultaneously sell 10 June call options at a strike price of 94.50.

                   Net premium payable is (0.33% - 0.26%) x 10 x $1m x 3/12 = $1,750

                   Result of hedge


                   On 1 June – assume interest rate is 8% and futures price is 91.90:

                   Transaction:                                                            $
                   Interest                     $10m × 8% × 3/12                      (200,000)

                   Futures /options mkt:
                   31 March – Put/Sell?         94.00

                   1 June – Buy                 91.90
                                                ––––––––––––––––––––––––

                   Exercise: Gain               2.10%                                   52,500
                                                ––––––––––––––––––––––––
                                                (× 10 contracts × $1m × 3/12)

                   31 March – Call/Buy?         94.50
                   1 June – Sell                91.90

                                                ––––––––––––––––––––––––
                   Gain to counterparty?        Do not exercise                               –

                                                ––––––––––––––––––––––––
                   Premium                      (see above)                              (1,750)

                                                                                      –––––––
                   Net                                                                (149,250)

                                                                                      –––––––
                   Effective annual interest rate                                       5.97%

                                                                                      –––––––






                                                                                                      227
   234   235   236   237   238   239   240   241   242   243   244