7. Brianna McGruder and Tanya Zoban own Extreme Sports, Inc., whose value is $120,000 today assuming normal growth. However, the partners believe the value will grow at 15% per year for the next four years. They want to take this rapid growth into consideration when valuing the business for a potential sale. (a) Find the future value of the business in 4 years. (b) Estimate the value of the retail store by finding the present value of the amount found in part (a) at 6% compounded quarterly. ANS: (a) $209,881 (b) $165,393

Essentials Of Investments
11th Edition
ISBN:9781260013924
Author:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Publisher:Bodie, Zvi, Kane, Alex, MARCUS, Alan J.
Chapter1: Investments: Background And Issues
Section: Chapter Questions
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to have the funds needed?
ANS: $263,928.00
7. Brianna McGruder and Tanya Zoban own Extreme Sports, Inc., whose value is $120,000 today assuming normal
growth. However, the partners believe the value will grow at 15% per year for the next four years. They want to
take this rapid growth into consideration when valuing the business for a potential sale.
(a) Find the future value of the business in 4 years.
(b) Estimate the value of the retail store by finding the present value of the amount found in part (a) at 6%
compounded quarterly.
ANS:
(a) $209,881
(b) $165,393
8. Darnell Johnson's employer contributes 4% of Darnell's $38,400 salary into his retirement plan. Additionally, the
hospital matches the 1% of his salary that Darnell himself puts into his own plan. Find the future value in 10 years
assuming (a) funds earn 5% compounded semiannually and (b) funds earn 8% compounded semiannually. (c)
Then find the difference between the two. (Hint: Assume all contributions into the plan occur at the end of
semiannual periods.)
ANS:
(a) $29,427.45
(b) $34,304.35
(c) $4876.90
1 of 4
Transcribed Image Text:ou to have the funds needed? ANS: $263,928.00 7. Brianna McGruder and Tanya Zoban own Extreme Sports, Inc., whose value is $120,000 today assuming normal growth. However, the partners believe the value will grow at 15% per year for the next four years. They want to take this rapid growth into consideration when valuing the business for a potential sale. (a) Find the future value of the business in 4 years. (b) Estimate the value of the retail store by finding the present value of the amount found in part (a) at 6% compounded quarterly. ANS: (a) $209,881 (b) $165,393 8. Darnell Johnson's employer contributes 4% of Darnell's $38,400 salary into his retirement plan. Additionally, the hospital matches the 1% of his salary that Darnell himself puts into his own plan. Find the future value in 10 years assuming (a) funds earn 5% compounded semiannually and (b) funds earn 8% compounded semiannually. (c) Then find the difference between the two. (Hint: Assume all contributions into the plan occur at the end of semiannual periods.) ANS: (a) $29,427.45 (b) $34,304.35 (c) $4876.90 1 of 4
9. At what interest rate compounded quarterly will RM15,000 become RM19,500 in 2 years 3 months?
ANS: 11.83%
10. If RM 6,000 will accumulate to RM7,500 in five years' time, what is the interest rate compounded annually?
ANS: 4.56%
11. At the birth of her grandson, Samantha Jones commits to help pay for his college education. She decides to make
deposits of $600 at the end of each 6 months into an account for 17 years. Find the amount of the annuity and the
interest earned, assuming 6% compounded semiannually.
ANS: $14,238.11
Page 2
Transcribed Image Text:9. At what interest rate compounded quarterly will RM15,000 become RM19,500 in 2 years 3 months? ANS: 11.83% 10. If RM 6,000 will accumulate to RM7,500 in five years' time, what is the interest rate compounded annually? ANS: 4.56% 11. At the birth of her grandson, Samantha Jones commits to help pay for his college education. She decides to make deposits of $600 at the end of each 6 months into an account for 17 years. Find the amount of the annuity and the interest earned, assuming 6% compounded semiannually. ANS: $14,238.11 Page 2
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