Question

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 remain constant into the foreseeable future). For you to be able to purchase this stock at the end of 5 years, how much must deposit in your bank account today?

Answer 1

$267.1211

Step-by-step explanation:

return on preference share per unit is $6 , thus at 12% annual rate of return. Initial value of preference shares will be $50 per unit ( $6 divided by 12%).

Total value of preference shares = $50 multiplied by 100 preference shares = $5000

Future value of preference shares = 5000 (1.12)^5 = $8,811.7084

to find the value of money to be deposited to be able to buy the preference shares at the end of 5 yrs.

we work back to get the present value using the mutual fund annual rate

$8811.7084 = pv (1.06)^60 the rate is compounded monthly. Hence we shall compound the return 60 times in 5 years

Bank account money = 8811.7084 divided by 32.9877 = $267.1211