In: Finance
Please answer them correctly. Here are short 3 problems. Please solve all 3 problems. I would really appreciate your effort. Thanks.
1. Cullumber Corp had sales of $336,000 in 2017. If management expects its sales to be $476,450 in 6 years, what is the rate at which the company’s sales are expected to grow? (If you solve this problem with algebra round intermediate calculations to 4 decimal places, in all cases round your final answer to 2 decimal places, e.g. 8.72%.)
Growth Rate _____?
2. Ivanhoe, Inc., management expects the company to earn cash flows of $12,700, $15,100, $18,200, and $19,500 over the next four years. If the company uses an 9 percent discount rate, what is the future value of these cash flows at the end of year 4? (Round answer to 2 decimal places, e.g. 15.25. Do not round factor values.)
Future Value $_____?
3. Jason Allen borrowed some money from his friend and promised to repay him $1,230, $1,330, $1,550, $1,620, and $1,620 over the next five years. If the friend normally discounts investment cash flows at 7.5 percent annually, how much did Jason borrow? (Round answer to 2 decimal places, e.g. 15.25. Do not round factor values.)
Present value $_____?
1) | Growth rate | 5.99% | ||||||
Working: | ||||||||
Future value | = | Present Value *(1+i)^n | Where, | |||||
$ 4,76,450 | = | 336000*(1+i)^6 | i | Growth rate | ||||
1.4180 | = | (1+i)^6 | n | time | ||||
1.4180 | ^ (1/6) | = | 1+i | |||||
1.0599 | = | 1+i | ||||||
i | = | 0.0599 | ||||||
2) | Future value | $ 73,725.18 | ||||||
Working: | ||||||||
Year | Cash flows | Future value of 1 | Future value of cash flows | |||||
a | b | c=1.09^(4-a) | d=b*c | |||||
1 | $ 12,700 | 1.295 | $ 16,446.87 | |||||
2 | $ 15,100 | 1.188 | $ 17,940.31 | |||||
3 | $ 18,200 | 1.090 | $ 19,838.00 | |||||
4 | $ 19,500 | 1.000 | $ 19,500.00 | |||||
Total | $ 73,725.18 | |||||||
3) | Present value | $ 5,884.25 | ||||||
Working: | ||||||||
Year | Cash flows | Present value of 1 | Present value of cash flows | |||||
a | b | c=1.075^-a | d=b*c | |||||
1 | $ 1,230 | 0.930233 | $ 1,144.19 | |||||
2 | $ 1,330 | 0.865333 | $ 1,150.89 | |||||
3 | $ 1,550 | 0.804961 | $ 1,247.69 | |||||
4 | $ 1,620 | 0.748801 | $ 1,213.06 | |||||
5 | $ 1,620 | 0.696559 | $ 1,128.42 | |||||
Total | $ 5,884.25 | |||||||