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If $60,000 is paid at the end of each year for 13 years, calculate the equivalent...

If $60,000 is paid at the end of each year for 13 years, calculate the equivalent single payment now (P) if interest is 9% pa effective. Give your answer in dollars and cents to the nearest cent.

Solutions

Expert Solution

Given: Years Discouting factor
Annual amount= $60,000 1                   0.9174 (1/1.09)^1
Equivalent single payment= 60000*7.4869 2                   0.8417 (1/1.09)^2
=          449,214 3                   0.7722 (1/1.09)^3
4                   0.7084 (1/1.09)^4
5                   0.6499 (1/1.09)^5
6                   0.5963 (1/1.09)^6
7                   0.5470 (1/1.09)^7
8                   0.5019 (1/1.09)^8
9                   0.4604 (1/1.09)^9
10                   0.4224 (1/1.09)^10
11                   0.3875 (1/1.09)^11
12                   0.3555 (1/1.09)^12
13                   0.3262 (1/1.09)^13
Annuity factor                   7.4869

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