Calculate the missing zero rate

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a) Based on the bond information provided in Table 1, calculate the missing zero rate Z1.5 and the 6-month forward rates R0.5,1 and R1.0,1.5

Table 1

Time to Maturity (years)

Coupon Rate (p.a.)

Face Value

Price

Annualised Zero Rate

6-month Forward Rates

0.5

0%

$100.00

$98.02

4.00%

-

1.0

0%

$100.00

$95.89

4.20%

R0.5,1

1.5

4.00%

$100.00

$99.36

Z1.5

R1.0,1.5

Note that all zero and forward rates quoted are continuously compounded.  Coupons are paid semi- annually.

b) From the pay fixed side, value the swap based on the following information:

  • Notional Value = $100,000,000;
  • Time to Maturity = 1.75 years (i.e. - 21 months);
  • Fixed Rate = 3.00% p.a. and is paid semi-annually;
  • Floating Rate is the six-month BBSW which was 3.5% p.a. continuous compounding 3 months ago;
  • The 6-month, 12-month and 18-month BBSW rates are 3.5%, 3.6% and 3.8%, respectively. These rates are nominal annual with continuous compounding.

Reference no: EM133062184

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