For a whole life policy on (40) with benefits payable at the moment of death:
(i) The face amount is 10,000.
(ii) Premiums are payable annually for 20 years.
(iii) First year expenses are 60% of first year premium plus 100, paid at issue.
(iv) Renewal expenses are 4% of premium plus 5, payable at the beginning of every year.
(v) A45 = 0.305
(vi) a¨45 = 14
(vii) a¨45:15| = 10.2
(viii) d = 0.05
(ix) The gross premium reserve at time 5 is 966.
Determine the gross premium.