13. Jensen and Associates has a projected balance sheet that includes the following accounts. What is the projected marketable s
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Answer: 4 years
Explanation:
First find the amount Rula borrowed from her hometown bank:
= Price of car - Down payment
= 15,000 - 2,000
= $13,000
The amount that Rula is to pay is an annuity. The loan is the present value of that annuity.
Present value of annuity = Annuity * Present value interest factor of annuity
13,000 = 4,280 * Present value interest factor of annuity
Present value interest factor of annuity = 13,000 / 4,280
= 3.0373
Use an annuity table to find out the year that 12% as a discount rate intersects with, such that the present value of interest factor of annuity is 3.0373.
That number is:
= 4 years
Answer:
a) - r=5%:
- r=4%:
- r=3%:
b) - r=5%: t=14 years
- r=4%: t=17 years [/tex]
- r=3%: t=23 years [/tex]
c) The amount obtained is
- Compuonded quarterly: $5,191.83
- Compuonded continously: $5,200.71
The latter is always greater, since the more often it is capitalized, the greater the effect of compound interest and the greater the capital that ends up accumulating.
Explanation:
The rate of accumulation of money is
To calculate the amount of money accumulted in a period, we have to rearrange and integrate:
When t=0, S=S₀ (the initial capital).
Now we have the equation for the capital in function of time:
a) For an initial capital of $4000 and for a period of five years, the amount of capital accumulated for this interest rates is:
- r=5%:
- r=4%:
- r=3%:
b) We can express this as
- r=5%:
- r=4%:
- r=3%:
c) When the interest is compuonded quarterly, the anual period is divided by 4. In 5 years, there are 4*5=20 periods of capitalization. The annual rate r=0.0525 to calculate the interest is also divided by 4:
If compuonded continously, we have:
The amount obtained is
- Compuonded quarterly: $5,191.83
- Compuonded continously: $5,200.71
The latter is always greater, since the more often it is capitalized, the greater the effect of compound interest and the greater the capital that ends up accumulating.