Question

In: Finance

Can you estimate what the annual rate of return would be to grow $5000 into $20 million in 51 years? Show the Cash Flow Table and Diagram (20% or 100%)

Can you estimate what the annual rate of return would be to grow $5000 into $20 million in 51 years? Show the Cash Flow Table and Diagram (20% or 100%)

Solutions

Expert Solution

We have to estimate the annual rate of return that will grow an initial deposit into a given future value in 51 years.

 

This is a question based on time value of money concept. In all such questions, all but one variable out PV, FV, r, N, PMT are given and we have to find the missing one. This question is no exception.

Let the desired annual rate of return be r.

Time, t Amount ($)
0 -$5,000
51 $20,000,000

 

Initial amount, PV = 5000

 

Accumulated amount, FV = 20,000,000

 

Annual rate of return = r

 

Years to maturity, n = 51

 

Hence, the annual rate of return = 17.66%.


Hence, the annual rate of return = 17.66%.

Related Solutions

What would you estimate to be the required rate of return for equity investors
What would you estimate to be the required rate of return for equity investors if a stock sells for $40 and just paid a $4.40 dividend that is expected to grow at a constant rate of 5%?7.6%12.0%16.5%16.0%
3. What is the annual interest rate that would cause $200 to grow to $289 in 8 years?
3. What is the annual interest rate that would cause $200 to grow to $289 in 8 years? 4. What is the future value of a 6-year, $203 ordinary annuity if the annual interest rate is 5%? 5. What is the PV of a 6 year, $289 annuity due if the annual interest rate is 5%? 6. What is the value of a perpetuity that makes a payment of $155 per year? Assume the current interest rate is 4%. 7....
Suppose you can estimate the free cash flow for Hoosier Electronics for the next 3 years....
Suppose you can estimate the free cash flow for Hoosier Electronics for the next 3 years. You predict that FCF will be $65.00, $53.00, and $58.00 million respectively. After the third year, you believe that FCF’s will grow forever at 5.00%. The firm’s WACC is 11.00%. Currently, the book value of bonds is $203.00 million, the book value of notes payable is $61.00 million, and the book value of preferred stock is $36.00 million. If the firm has 27.00 million...
Suppose you can estimate the free cash flow for Hoosier Electronics for the next 3 years....
Suppose you can estimate the free cash flow for Hoosier Electronics for the next 3 years. You predict that FCF will be $52.00, $57.00, and $64.00 million respectively. After the third year, you believe that FCF’s will grow forever at 6.00%. The firm’s WACC is 11.00%. Currently, the book value of bonds is $191.00 million, the book value of notes payable is $61.00 million, and the book value of preferred stock is $48.00 million. If the firm has 22.00 million...
If equity investors require a 20% rate of return, what is the maximum acceptable amount of equity financing for a project with $2 million annual cash flows before tax and interest, $3 million in debt with a 10% coupon, and a 35% tax rate?
If equity investors require a 20% rate of return, what is the maximum acceptable amount of equity financing for a project with $2 million annual cash flows before tax and interest, $3 million in debt with a 10% coupon, and a 35% tax rate? A. $5.53 million B. $5.87 million C. $8.5 million D. $9.03 million  
You just paid $465 for a security that claims it will pay you $1,944 in 9 years. What is your annual rate of return?
You just paid $465 for a security that claims it will pay you $1,944 in 9 years. What is your annual rate of return? SET YOUR CALCULATOR TO 4 DECIMAL PLACES AND ROUND TO 2 DECIMAL PLACES AT THE END. DO NOT ENTER THE % SIGN. IF YOUR ANSWER IS 7.70%, FOR EXAMPLE, ENTER 7.70.
What interest rate is one earning over ten years if the investment initially is 100$ and you receive 20$ back at the end of ten years?
What interest rate is one earning over ten years if the investment initially is 100$ and you receive 20$ back at the end of ten years?A.6B.8C.7.2D.9.5
Rate of return=[Initial value(Current value−Initial value)​]×100 where can I find that Form 10-K. What numbers would...
Rate of return=[Initial value(Current value−Initial value)​]×100 where can I find that Form 10-K. What numbers would I be looking at? Can you please provide examples. Thanks
If you require an annual return of 12%, what is the present value of this cash flow stream? Round your answer to the nearest cent. Do not round intermediate calculations.
You own a security with the cash flows shown below. 0 1 2 3 4 0 610 375 250 290 If you require an annual return of 12%, what is the present value of this cash flow stream? Round your answer to the nearest cent. Do not round intermediate calculations. $
Suppose you are still committed to owning a $150 Ferrari. If you believe your mutual fund can achieve a 10.25 percent annual rate of return, and you want to buy the car in 10 years on the day you turn 30, how much must you invest today?
Calculating Present Values. Suppose you are still committed to owning a $150 Ferrari. If you believe your mutual fund can achieve a 10.25 percent annual rate of return, and you want to buy the car in 10 years on the day you turn 30, how much must you invest today? 
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT