Assume that your parents wanted to have saved for college by your 18th birthday and they started saving on your first birthday.
They saved the same amount each year on your birthday and earned per year on their investments. a. How much would they have to save each year to reach their goal? b. If they think you will take five years instead of four to graduate and decide to have saved just in case, how much would they have to save each year to reach their new goal?
1 answer:
Answer:
- $2,670.21
- $1,068.09
Explanation:
1. The payment is a fixed amount so is an annuity. Using the Future value of an annuity factor table, we can find the annuity factor for 18 years at 8%.
Future value of annuity = Payment * Future value of an annuity factor , 18 years, 8%
100,000 = Payment * 37.4502
Payment = 100,000/37.4502
= $2,670.21
2. Future value of annuity = Payment * Future value of an annuity factor , 18 years, 8%
140,000 = Payment * 37.4502
Payment = 140,000/37.4502
= $3,738.30
How much more would they pay = 3,738.30 - 2,670.21
= $1,068.09
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Answer:
risk free rate of return is = 11.37 %
Explanation:
given data
K expected rate of return = 13%
K standard deviation = 19% = 0.19
L expected rate of return = 10%
L standard deviation = 16% = 0.16
to find out
risk-free portfolio rate of return
solution
first we find here weight of each portfolio
weight of K = ..................1
weight of K =
weight of K = 0.4571 = 45.71%
and
weight of L = 1 - 0.4571
weight of L = 0.5428 = 54.28 %
so that
risk free rate will be here
risk free rate = ( weight of K × K expected rate of return ) + ( weight of L + L expected rate of return ) ..........................2
risk free rate = ( 45.71 % × 13 % ) + ( 54.28 % + 10% )
risk free rate = 11.37 %