Question

In: Finance

You invest $1000 today. If that money grows at an annualized rate of 2% for the...

You invest $1000 today. If that money grows at an annualized rate of 2% for the next 7 months and then at an annualized rate of 16% for the next 3 months after that, how much will your investment grown to by the end of the 2nd period. Assume you made no withdrawals or additional investments.

Solutions

Expert Solution

Compute the monthly rate for first 7 months, using the equation as shown below:

Monthly rate = Annual rate/ 12 months

                      = 2%/ 12 months

                      = 0.16666666666%

Hence, the monthly rate is 0.16666666666%.

Compute the value of investment after 1st period, using the equation as shown below:

Hence, the value of the investment after 1st period is $1,011.72516222.

Compute the monthly rate for last 3 months, using the equation as shown below:

Monthly rate = Annual rate/ 12 months

                      = 16%/ 12 months

                      = 1.33333333333%

Hence, the monthly rate is 1.33333333333%.

Compute the value of investment after 2nd period, using the equation as shown below:

Hence, the value of the investment after 2nd period is $1,052.7361536.


Related Solutions

Assume that as of today, the annualized interest rate on a three-year security is 2 percent,...
Assume that as of today, the annualized interest rate on a three-year security is 2 percent, while the annualized interest rate on a two-year security is 1.25 percent. Use this information to estimate the one-year forward rate two years from now.
Forward Rate. a. Assume that as of today, the annualized two-year interest rate is 0.1 ,...
Forward Rate. a. Assume that as of today, the annualized two-year interest rate is 0.1 , while the one-year interest rate is 0.07. Assume that the liquidity premium on a two-year security is 0.003. Use this information to re-estimate the one-year forward rate. Enter the answer in decimal form using 4 decimals (e.g. 0.1234)
Forward Rate. Assume that as of today, the annualized interest rate on a three-year security is...
Forward Rate. Assume that as of today, the annualized interest rate on a three-year security is 0.12, while the annualized interest rate on a two-year security is 0.03. Use only this information to estimate the one-year forward rate two years from now. Enter the answer in decimal form using 4 decimals (e.g. 0.1234)
Forward Rate. a. Assume that as of today, the annualized two-year interest rate is 0.11 ,...
Forward Rate. a. Assume that as of today, the annualized two-year interest rate is 0.11 , while the one-year interest rate is 0.02. Use only this information to estimate the one-year forward rate. Enter the answer in decimal form using 4 decimals (e.g. 0.1234)
1. You deposit $20,000 today. If it grows to $60,000 in 10 years, what rate of...
1. You deposit $20,000 today. If it grows to $60,000 in 10 years, what rate of interest must have your earned? Today is T=0. If you make five annual deposits into a bank account that pays interest at the rate of 6%, how large must the deposits be if the account is worth $75,000 at the end of the fifth year (T=5) and the first deposit is made today? You will start college on your 18th birthday. Your parents need...
You have $1,500 to invest today. You plan to spend the money in 6 years and...
You have $1,500 to invest today. You plan to spend the money in 6 years and believe you can earn 9% on your investment. What do you expect the value of your investment to be when you want to spend your money? (Please complete in excel if possible)
Today is Sept. 1, 2009. Starting today you plan to invest $1000 every year, first deposit...
Today is Sept. 1, 2009. Starting today you plan to invest $1000 every year, first deposit today and last deposit on Sept. 1, 2025. After that, you plan to leave the money in the same account until Sept. 1, 2030. However, the interest rate is 8% compounded quarterly until your last deposit and only 7% compounded annually after that. How much money will you have in your account on Sept. 1, 2030? a. $34,504.14 b. $35,504.14 c. $48,393.84 d. $49,005.74...
you invest 85,000 today in money market. How much will it be worth at the beggining...
you invest 85,000 today in money market. How much will it be worth at the beggining of the 6th year? The appropriate discount rate is 8% compounded quarterly
The annualized discount rate on a particular money market instrument, is 4.25%. The face value is...
The annualized discount rate on a particular money market instrument, is 4.25%. The face value is $100,000, and it matures in 45 days. What is its price? What would be the price if it had 62 days to maturity?
1. How much money should you invest today at 8% interest to get it to increase...
1. How much money should you invest today at 8% interest to get it to increase to $ 15,000 in 10 years? 2. What annual interest rate will make $ 500 increase to $ 1,948 in 12 years? 3. Suppose you have won the lottery. You will be receiving $ 72,000 at the end of each year for the next 20 years. Now it turns out that a financial firm offers you the total amount of $ 650,000 at the...
ADVERTISEMENT
ADVERTISEMENT
ADVERTISEMENT