Question

Number of years to equal future amount For the following case, determine the number of years it will take for the intial deposit to grow to equal the future amount at the given interest rate. (Cli t rate 19% n, syears (Round to two decimal places )
0 0
Add a comment Improve this question Transcribed image text
Answer #1
We have FV = PV*(1+r)^n
Substituting values
14800 = 10664*1.19^n
Solving for n
14800/10664 = 1.19^n
1.38785 = 1.19^n
Taking log of both sides
log1.38785 = n*log1.19
n = log1.38785/log1.19) = 0.14234/0.07551 = 1.89
Answer: 1.89 years
CHECK:
= 10664*1.19^1.89 = 14815
Difference is due to approximation of n to 1.89
Add a comment
Know the answer?
Add Answer to:
Number of years to equal future amount For the following case, determine the number of years...
Your Answer:

Post as a guest

Your Name:

What's your source?

Earn Coins

Coins can be redeemed for fabulous gifts.

Not the answer you're looking for? Ask your own homework help question. Our experts will answer your question WITHIN MINUTES for Free.
Similar Homework Help Questions
  • we P5-58 Number of years to equal future amount For each of the following cases, determine...

    we P5-58 Number of years to equal future amount For each of the following cases, determine il deposit to grow to equal amount at the given interest rate. CD O ears it will take fo . 0 0 OL Future amount Interest rate Solo O O A la O O O O

  •  For the case shown in the following​ table, determine the amount of the​ equal, ​ end-of-year...

     For the case shown in the following​ table, determine the amount of the​ equal, ​ end-of-year deposits necessary to accumulate the given sum at the end of the specified​ period, assuming the stated annual interest rate.  ​(Click on the icon here    in order to copy the contents of the data table below into a​ spreadsheet.) Sum to be accumulated Accumulation period​ (years) Interest rate ​$95,500 3 9​% The amount of the​ end-of-year annual deposit is ​$ ​(Round to the...

  • Continuous compounding For the case in the following table, find the future value at the end...

    Continuous compounding For the case in the following table, find the future value at the end of the deposit period, assuming that interest is compounded continuously at the given nominal annual rate. (Click on the icon here in order to copy the contents of the data table below into a spreadsheet.) Amount of initial deposit $2,600 Nominal annual rate, r 8% Deposit period (years), n 11 The future value at the end of the deposit period is $ . (Round...

  • Determine the amount of money in a savings account at the end of 10 years, given...

    Determine the amount of money in a savings account at the end of 10 years, given an initial deposit of $5,500 and a 12 percent annual interest rate when interest is compounded: (Do not round intermediate calculations. Round your final answers to 2 decimal places.) Future Value a. Annually b. Semiannually c. Quarterly

  • Use future value and present value calculations to determine the following (a) The future value of...

    Use future value and present value calculations to determine the following (a) The future value of a $400 savings deposit after eight years at an annual interest rate of 3 percent. Use Table 1. (Round time value factor to 3 decimal places and final answer to 2 decimal places.) Future value (b) The future value of saving $1,800 a year for five years at an annual interest rate of 4 percent. Use Table 2. (Round time value factor to 3...

  • Calculate the following.      a. The future value of $460 eight years from now at 7...

    Calculate the following.      a. The future value of $460 eight years from now at 7 percent. (Round your final answer to 2 decimal places.) b. The future value of $500 saved each year for 7 years at 5 percent. (Round your final answer to 2 decimal places.)    c. The amount a person would have to deposit today (present value) at an interest rate of 6 percent to have $2,200 five years from now. (Round your final answer to...

  • (b) The future value of $1,200 saved each year for 10 years at 6 percent. (Round...

    (b) The future value of $1,200 saved each year for 10 years at 6 percent. (Round time value factor to 3 decimal places and final answer to 2 decimal places.) Future value (c) The amount a person would have to deposit today (present value) at an Interest rate of 6 percent to have $1,200 five years from now. (Round time value factor to 3 decimal places and final answer to 2 decimal places.) Present value (d) The amount a person...

  • (b) The future value of $900 saved each year for 10 years at 7 percent. (Round...

    (b) The future value of $900 saved each year for 10 years at 7 percent. (Round time value factor to 3 decimal places and final answer to 2 decimal places.) Future valueſ (c) The amount a person would have to deposit today (present value) at an interest rate of 8 percent to have $1,000 five years from now. (Round time value factor to 3 decimal places and final answer to 2 decimal places.) Present value (d) The amount a person...

  • A series of equal quarterly payments of $10,000 for 15 years is equivalent to what future worth amount at an interest r...

    A series of equal quarterly payments of $10,000 for 15 years is equivalent to what future worth amount at an interest rate of 9% compounded at the given intervals? (a) Quarterly (b) Monthly A series of equal quarterly payments of $10,000 for 15 years is equivalent to what future worth amount at an interest rate of 9% compounded at the given intervals? (a) Quarterly (b) Monthly

  • Exercise B-19 Using present and future value tables LO C1, P1, P2, P3, P4 For each of the following situations, identify...

    Exercise B-19 Using present and future value tables LO C1, P1, P2, P3, P4 For each of the following situations, identify (1) the case as either (a) a present or a future value and (b) a single amount or an annuity, (2) the table you would use in your computations (but do not solve the problem), and (3) the interest rate and time periods you would use. (PV of $1, FV of $1, PVA of $1, and FVA of $1)...

ADVERTISEMENT
Free Homework Help App
Download From Google Play
Scan Your Homework
to Get Instant Free Answers
Need Online Homework Help?
Ask a Question
Get Answers For Free
Most questions answered within 3 hours.
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT