Question

In: Finance

How much must you invest now to have 350,000 in 15 years if the interest rate...

  1. How much must you invest now to have 350,000 in 15 years if the interest rate is 10% and compounds continuously?
    1. $65,457.33
    2. $66,666.67
    3. $63,848.93
    4. $56,666.67
    5. None of these

Solutions

Expert Solution

If interest rate is compounded continously,

Present Value of a future cashflow is given by

PV =

where FV is the future value = 350,000

e is the exponential function nearly equal to 2.73

r is interest rate = 10% or 0.1

t is no. of years = 15

Hence, PV =

= 78095.556

Therefore, option (e) is correct.


Related Solutions

f you invest $100 at an interest rate of 15%, how much will you have at...
f you invest $100 at an interest rate of 15%, how much will you have at the end of eight years? (Do not round intermediate calculations. Round your answer to 2 decimal places.) please do not round intermediate calculations Round your answer to 2 decimal places An investment costs $1,548 and pays $138 in perpetuity. If the interest rate is 9%, what is the NPV? (Negative amount should be indicated by a minus sign. Do not round intermediate calculations. Round...
If you invest $2,000 with a 4% interest rate compounded annually, how much will you have...
If you invest $2,000 with a 4% interest rate compounded annually, how much will you have in ten years? 2-If you are going to receive $2,000 in six years from now, how much is that worth today, assuming 5% annual simple interest? Which of the following options will generate the highest interest over the term, assuming the same $100 principal? Review Later 5% simple interest rate for 3 years 5% quarterly compounding for 3 years 5% monthly compounding for 2...
How much is $100 worth 2 years from now if the annual rate of interest is...
How much is $100 worth 2 years from now if the annual rate of interest is 12% and compounding frequency is: (Hint: figure out the correct “m” and apply the FVn formula) a) Yearly b) 18 seconds c) 4.3 Months d) Every 4 years
You have $2,000 to invest right now, and the best interest rate you can find is...
You have $2,000 to invest right now, and the best interest rate you can find is 5%. You want to know how long it will take to double your money to $4,000. The number of years is _____.
Consider a loan of $225,000 at nominal interest rate of 6.25% for 15 years. How much...
Consider a loan of $225,000 at nominal interest rate of 6.25% for 15 years. How much of the payment during the first year goes towards interest? Assume monthly payments. $19,929 $13,509 $13,987 $13,798
If you invest $1,000 today at an interest rate of 10% per year, how much will...
If you invest $1,000 today at an interest rate of 10% per year, how much will you have 20 years from now, assuming no withdrawals in the interim? What is the present value of the following cash flows at an interest rate of 10% per year? $100 received five years from now. $100 received 60 years from now. $100 received each year beginning one year from now and ending 10 years from now. $100 received each year for 10 years...
1. Futures values: If you invest $1,000 at an interest rate of 12%, how much will...
1. Futures values: If you invest $1,000 at an interest rate of 12%, how much will you have at the end of eight years? Present values: As winner of a breakfast cereal competition, you can choose one of the following prizes: a. $10,000 now. b. $18,000 at the end of five years. c. $1,140 a year forever. d. $1,900 for each of 10 years. e. $650 next year and increasing thereafter by 4% a year forever. If the interest rate...
Suppose you will need $12,000 in 3 years. How much must you invest per month in...
Suppose you will need $12,000 in 3 years. How much must you invest per month in order to have $12,000 if money earns an annual rate 6% compounded monthly? How much of the $12000 is interest?
How much will you have at the end of 21 years if you invest $230 today...
How much will you have at the end of 21 years if you invest $230 today at 13% annually compounded ? 2650.31 3384.18 2994.85 3526.56
How much money will you have in 35 years if you invest ​$800 at the beginning...
How much money will you have in 35 years if you invest ​$800 at the beginning of each month at 8.2 percent interest rate being compounded​ semi-annually?
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT