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Suppose you just bought a 25-year annuity of $8,500 per year at the current inte

ID: 2761924 • Letter: S

Question

Suppose you just bought a 25-year annuity of $8,500 per year at the current interest rate of 9 percent per year.



What if interest rates suddenly rise to 14 percent? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

  

Suppose you just bought a 25-year annuity of $8,500 per year at the current interest rate of 9 percent per year.

What is the value of your annuity today? (Do not round intermediate calculations and round your answer to 2 decimal places, e.g., 32.16.)

Explanation / Answer

Present VAlue of Annuity at currnet rate of 9% = 8500x[1-1/(1+0.09)^25/0.09]

=8500x9.822558 = $83491.93

2) Present value of Annuity if inteest rate drops to 4 % = 8500x[1-1/(1+0.04)^25/0.04] = 8500x15.62208 = $132787.70

3) Present value of Annuity if Interest rate rises to 14% =8500x[1-1/(1+0.14)^25/0.14]= $58419.88

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