Question

In: Finance

Please answer them correctly. Here are short 3 problems. Please solve all 3 problems. I would...

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 $_____?

Solutions

Expert Solution

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

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