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1. On her 13th birthday, Matilda receives an annuity which will begin paying her $1000 on each of her birthdays from age 20 to age

1. On her 13th birthday, Matilda receives an annuity which will begin paying her $1000 on each of her birthdays from age 20 to age 30 (inclusive).

(a) At interest rate 3%, how much is the annuity worth on her 13th birthday? (b) How much is the annuity worth on her 25th birthday?

(c) If she suddenly needs to sell the annuity on her 25th birthday (just after receiving the payment) due to needing emergency medical care, how much would she get for it at fair market value? (That is, what are the remaining payments worth?)

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