Amount Invested each month = P = $100
Monthly interest Rate = r = 0.12/12 = 0.01
Let the number of months be n
Future Value required = FV = $1000000
Hence, FV = P(1+r)n-1 +....+ P(1+r)2 + P(1+r) + P = P[(1+r)n -1]/r
=> 1000000 = 100[(1+0.01)n -1]/0.01
=> (1+0.01)n = 1 + 1000000*0.01/100 = 101
=> n = ln(101) / ln (1.01) = 463.82
Hence, it will take 463.82 months for the account to reach $1000000
463.82 months = 463.81/12 = 38.65 years
23. If you invest $100 per month in the stock market, how long will it be...
23. You are looking to save money and invest $10,000. You deposit money in a savings account that pays 5.5% and money in the stock market that loses 3%. Between the two investments you make a total $295. How much did you invest in the savings account and stock market? X- 24. You are looking to save money and invest $12,000. You deposit money in a savings account that You are 10 avs 4.5% and money in the stock market...
Assume that you would like to purchase 100 shares of preferred stock that pays an annual dividend of $6.00 per share. However, you have limited resources now, so you cannot afford the purchase price. In fact, the best you can do now is to invest your money in a mutual fund that offers an average return of 6% compounded monthly. Because the preferred stock is riskier, it has an annual rate of return of 12% (assume that this rate will...
Assume you plan to retire in 35 years. If you invest $180.00 per month in the broad U.S. equity market and earn annual returns of 9.5% over that period, how much money will you have accumulated on the day you plan to retire? Note: Enter your answer rounded to the nearest dollar. For example, if your calculated accumulated amount is $225,784.63 enter it as: 225,785 or 225785.
3. You have $10,000 to invest in a stock portfolio. Your choices are Stock X with an expected return of 21.0% and a standard deviation of 40% and T-Bills (e.g., the risk free asset) with an expected return of 5% and a standard deviation of 0%. How much money will you invest in Stock X if your goal is to create a portfolio with an expected return of 26%? The amount of money in dollars) that I will invest in...
20. Assume that you are setting up your retirement plan by considering two investment plans together. (Your retirement in 20 years). You want to earn a total of $1,000,000 after 20 years from the following two investment plans together. Investment plan #1 : You currently have $20,000 in the bank and decide to invest that $20,000 in a money market account for 20 years which you feel will generate a return on 6% per year. Investment plan #2: You also...
You want to invest in the stock market. You are willing to pay $100 per share of stock of a well- run and profitable company. However, if the company is badly run, you are only willing to pay $10 per share of stock. You read a report that 80% of companies in the market are well run and 20% are badly run. Answer the following questions: a. Calculate your expected value of a stock chosen randomly among those for sale....
You receive $4,000 from your aunt when you turn 21 and you immediately invest the money in a saving account. The account earns 12% annual rate, with continuous compounding. You get your first job after 5 years. a. Determine the accumulated saving in this account at the end of 5 years. b. You want to retire from work in 20 years. If you deposit $100 into your account every month for the first 10 years, and $200 every month for...
Assume that you can invest $1,000 in a savings account or a fund consisting of different stocks. If you invest in the savings account, you get 1% interest per year. The fund has annual return X with expected value E(X) = 6% and standard deviation o(X) = 20%. This means that, compared to the savings account, the fund has a higher return on average, but also comes with risk. When you invest y dollars in the fund, you will have...
You invest $1000 per month for 9 months starting 4 months from now (i.e., from month 4 to month 12), and then you increase your investment by $100 per month for 2 years (i.e., from month 13 to month 36). If the rate of return is 60% per year, what is the equivalent annual worth ($ per year) of this cash flow in years 1 to 3?
answer both please 12. Now let's work backwards. Assume that you will all live until 100 (a good news!), but will have to retire by 65 (a bad news^^). You estimate that you will need to draw at least $3,000 per month of living expenses out of your retirement account after you retire (assume no inflation). Suppose that your retirement account will keep earning 6% APR after you retire. If you want to ensure that your retirement account will not...