Question

Your friend is looking for investors in a risky business venture. To convince you to participate, she is offering you a 17% rate of return in your investment. How much should you be willing to invest your friend s company, if she believes that she will be able to pay you the following amounts: $1000 at the end of the first year, $4000 at the end of the second year, and $5000 at the end of years 3, 4, and 5.

Answer 1

Answer:

B - $13,556.82

Explanation:

Amount to be invested is equal to the present value of future inflows

Present value = future value/(1+Interest rate)^Number of years

The actual amount at the end of the first year should be $3000 if there is an answer in the options

The amount at the end of the second year is $4000

The amount at the end of the third, fourth and fifth year is $5000

Hence, amount to be invested = 3000/(1.17) + 4000/(1.17)^2 + 5000/(1.17)^3 + 5000/(1.17)^4 + 5000/(1.17)^5

= $13,556.82

Hence, the answer is $13,556.82

Answer 2

Answer:

The answer is $11,847

Explanation:

Amount to be invested is equal to the present value of future inflows

Present value = future value/(1+Interest rate)^Number of years

Hence, amount to be invested = 1000/(1.17) + 4000/(1.17)^2 + 5000/(1.17)^3 + 5000/(1.17)^4 + 5000/(1.17)^5

= $11,847.

Hence, the answer is $11,847..