In: Finance
You have just inherited $590,000. You plan to save this money
and continue to live off the money that you are earning in your
current job. If you can invest the money in a bond that pays 4.03
percent interest annually, how long will it be before your
inheritance is worth $1 million? (If you solve this
problem with algebra round intermediate calculations to 5 decimal
places, in all cases round your final answer to 2 decimal places,
e.g. 8.72.)
Inheritance will be worth $1 million in |
years |
Ivanhoe Corp had sales of $376,000 in 2017. If management expects its sales to be $476,450 in 3 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 |
% |
Donna Clark needs to decide whether to accept a bonus of $1,620 today or wait two years and receive $1,910 then. She can invest at 6 percent. What should she do?
select an option YesNo, she should not accept the bonus today. |
1) | FV= PV*(1+r)^n | ||||||
Where, | |||||||
FV= Future Value | |||||||
PV = Present Value | |||||||
r = Interest rate | |||||||
n= periods in number | |||||||
1000000= $590000*( 1+0.0403)^n | |||||||
1000000/590000 =1.0403^n | |||||||
n =13.35 | |||||||
Inheritance will be worth $1 million in 13.35 years | |||||||
2) | FV= PV*(1+r)^n | ||||||
Where, | |||||||
FV= Future Value | |||||||
PV = Present Value | |||||||
r = Growth rate | |||||||
n= periods in number | |||||||
$476450= $376000*( 1+r)^3 | |||||||
476450/376000 =(1+r)^3 | |||||||
r =8.21% | |||||||
Growth rate =8.21% | |||||||
3) | PV= FV/(1+r)^n | ||||||
Where, | |||||||
FV= Future Value | |||||||
PV = Present Value | |||||||
r = Interest rate | |||||||
n= periods in number | |||||||
= $1910/( 1+0.06)^2 | |||||||
=1910/1.1236 | |||||||
= $1699.89 | |||||||
Present value of $1910 is greater than $1620 | |||||||
hence | |||||||
NO, she should not accept the bonus | |||||||