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The continuously compounded zero rates are as follows: Maturity (months) 1 Rate (% p.a.) 4.0 Maturity (months) 2 Rate (% p.a.) 4.4 Maturity (months) 3

The continuously compounded zero rates are as follows:

Maturity (months) 1 Rate (% p.a.) 4.0

Maturity (months) 2 Rate (% p.a.) 4.4

Maturity (months) 3 Rate (% p.a.) 4.9

Maturity (months) 4 Rate (% p.a.) 3.6

The cash price of a $1,000 bond that matures in exactly 3 months is $1,023.55. 

What is the annual coupon rate if it pays coupons every month?

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