1 answer

4. (8 points) An immortal man named Odin deposits $400 every two weeks into an account...

Question:

4. (8 points) An immortal man named Odin deposits $400 every two weeks into an account start- ing on his 40th birthday and en
4. (8 points) An immortal man named Odin deposits $400 every two weeks into an account start- ing on his 40th birthday and ending on his 80th birthday (assume no leap years). Since he is immortal he plans to withdraw monthly payments from his account starting on his 84th birthday forever. If 112 = 6%, how much is the monthly payment that he receives indefinitely?

Answers

Answer:

Every two Week Deposit P=400

Number of bi weeks in a year =26

So total number of deposit N=26*(80-40)=1040

Interest rate =6%

Bi weekly interest rate r=6%/26=0.2308%

Montly Interest rate R=6%/12=0.5%

Let X be the month payment

So Future Value of Deposit at 84th age = PV of monthly payment at 84th age

P*((1+r)^N-1)/r *(1+R)^48 =X/R

400*((1+0.2308%)^1040-1)/0.2308% *(1+0.5%)^48 = X/0.5%

X=$11002.91

.

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