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Mrs. Chan purchased the HKMC Annuity plan at the age 69 for a single premium of HK$1,000,000. Below is the extract of guarantee monthly annuity

Mrs. Chan purchased the HKMC Annuity plan at the age 69 for a single premium of HK$1,000,000.

Below is the extract of guarantee monthly annuity payment table (HK$) for male and female.

Female

(Single premium HK$1,000,000)

Age Last Birthday at Application

Guaranteed Monthly Annuity Payment (The amount will be determined at the outset and will remain unchanged throughout the

whole of your life.)

Guaranteed Period

Guaranteed cash value of partial withdrawal after receiving the 50th guaranteed monthly annuity payment

65

HK$5,300

199 months

HK$548,000

66

HK$5,400

195 months

HK$552,000

67

HK$5,510

191 months

HK$557,000

68

HK$5,620

187 months

HK$561,000

69

HK$5,730

184 months

HK$565,000

70

HK$5,840

180 months

HK$568,000

Mrs. Chan wishes to partially surrender an amount of HK$150,000 after receiving the 50th guaranteed monthly annuity payment.

  1. What are the guaranteed monthly annuity payment and number of guaranteed monthly annuity payments provided by Mrs Chans plan? (2 marks)

  1. What will be the reduction ratio and reduced guaranteed monthly annuity payment after the partial surrender? Show all your workings. Round your final answer to integer.

(4 marks)

What will be the reduced guaranteed cash value at the point of time after the partial surrender and reduced lump sum death benefit value at the point of time after the partial surrender? Show all your workings. Round your final answer to integer.

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