Mr. Lee deposited a large amount of money in his first bank account. Annual withdrawals of 30,000 pesos starting EOY 1 were made for 7 years to pay for personal expenses. He stopped withdrawing after the 7th year when he was assigned to work abroad. After 3 years of working abroad without withdrawing or depositing from his bank account, he went back to the Philippines. He started withdrawing money again on the end of the 10th year with an amount of 5,000 pesos, 7,000 pesos on the 11th year, 9,000 pesos on the 12th year, and the same trend goes up to the 15th year. After which, the following withdrawals were made at the end of each year: 16th year 2,500 pesos 17th year 3,000 pesos 18th year 3,500 pesos 19th year 4,000 pesos 20th year 4,500 pesos The bank uses a nominal interest rate of 5 % compounded annually. What should be the minimum initial investment to accommodate all the transactions he made?

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Q. 1
starting EOY 1 were made for 7 years to pay for personal expenses. He stopped withdrawing after the 7th year
when he was assigned to work abroad. After 3 years of working abroad without withdrawing or depositing
from his bank account, he went back to the Philippines. He started withdrawing money again on the end of the
10th year with an amount of 5,000 pesos, 7,000 pesos on the 11th year, 9,000 pesos on the 12th year, and
the same trend goes up to the 15th year. After which, the following withdrawals were made at the end of each
Mr. Lee deposited a large amount of money in his first bank account. Annual withdrawals of 30,000 pesos
year:
16th year
2,500 pesos
17th year
3,000 pesos
18th year
3,500 pesos
19th year
4,000 pesos
20th year
4,500 pesos
The bank uses a nominal interest rate of 5% compounded annually.
What should be the minimum initial investment to accommodate all the transactions he made?
Transcribed Image Text:starting EOY 1 were made for 7 years to pay for personal expenses. He stopped withdrawing after the 7th year when he was assigned to work abroad. After 3 years of working abroad without withdrawing or depositing from his bank account, he went back to the Philippines. He started withdrawing money again on the end of the 10th year with an amount of 5,000 pesos, 7,000 pesos on the 11th year, 9,000 pesos on the 12th year, and the same trend goes up to the 15th year. After which, the following withdrawals were made at the end of each Mr. Lee deposited a large amount of money in his first bank account. Annual withdrawals of 30,000 pesos year: 16th year 2,500 pesos 17th year 3,000 pesos 18th year 3,500 pesos 19th year 4,000 pesos 20th year 4,500 pesos The bank uses a nominal interest rate of 5% compounded annually. What should be the minimum initial investment to accommodate all the transactions he made?
Most people prepare for retirement by depositing money into a monthly or annual savings plan. An amount of
$310 per month is deposited in a bank account paying a 11% nominal annual percentage rate (APR)
compounded quarterly.
What is the interest rate (in %) for every 3-month period?
Suppose that these two cash flow diagrams below are economically equivalent at 8.00% annual interest.
$1,000
$1,000
2T
$500
$500
9.
1
3.
4
6.
1
3.
4
EOY
EOY
What value ofT (in $) satisfies the equivalence of the two cash flow diagrams?
3T
Transcribed Image Text:Most people prepare for retirement by depositing money into a monthly or annual savings plan. An amount of $310 per month is deposited in a bank account paying a 11% nominal annual percentage rate (APR) compounded quarterly. What is the interest rate (in %) for every 3-month period? Suppose that these two cash flow diagrams below are economically equivalent at 8.00% annual interest. $1,000 $1,000 2T $500 $500 9. 1 3. 4 6. 1 3. 4 EOY EOY What value ofT (in $) satisfies the equivalence of the two cash flow diagrams? 3T
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