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3. chin is considering an investment that pays 6.80 percent. How much will he ha

ID: 2612196 • Letter: 3

Question

3. chin is considering an investment that pays 6.80 percent. How much will he have to invest today so that the investment will be worth $22,000 in six years? (If you solve this problem with algebra round intermediate calculations to 4 decimal places, in all cases round your final answer to the nearest penny.)

4. Your brother has asked you for a loan and has promised to pay back $9,000 at the end of three years. If you normally invest to earn 7 percent per year, how much will you be willing to lend to your brother? (If you solve this problem with algebra round intermediate calculations to 4 decimal places, in all cases round your final answer to the nearest penny.)

Explanation / Answer

Answer:3

Value of investment after 6 years = FV5= $22,000

Return expected from investment =i= 6.8%

Duration of investment =n= 6 years

Amount to be invested today = PV

PV=FVn/(1+i)n

=$22000/(1.068)6

=$14825.016

Answer:4 Loan repayment amount after 3 years = FV3= $9000

Return expected from investment = i = 7%

Duration of investment = n = 3 years

Amount to be invested today = PV

PV=FVn/(1+i)n

=$9000/(1.07)3

=$7346.681

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