Answer:
Annual contributions to the retirement fund will be $6,347.31
Explanation:
First find the Present Value of the Annuity giving payments of $32,000 annually for 25 years at the rate of 10%.
Using a Financial Calculator enter the following data
PMT = $32,000
P/y = 1
N = 25
R = 10%
FV = 0
Thus, the Present Value, PV is $290,465.28
At the time of retirement (in 20 years time) the Value of the annuity fund is $290,465.28.
Next we need to find the Payments PMT to reach this amount in 20 years time at the interest rate of 8%
Using a Financial Calculator enter the following data
FV = $290,465.28
N = 20
R = 8 %
PV = $0
Thus, the Payments, PMT required will be $6,347.3080
Conclusion :
Annual contributions to the retirement fund will be $6,347.31
The government and the authority’s
Answer:
The risk free rate is 6.50%
Explanation:
The required rate of return is the minimum return that investors demand/expect on a stock based on the systematic risk of the stock as given by the beta. The expected or required rate of return on a stock can be calculated using the CAPM equation.
The equation is,
r = rRF + Beta * (rM - rRF)
Where,
- rRF is the risk free rate
- rM is the return on market
As we know the figures for r, Beta and rM, we will input these figures in the equation to calculate risk free rate.
Let risk free rate be x.
0.135 = x + 1.4 * (0.115 - x)
0.135 = x + 0.161 - 1.4x
0.135 - 0.161 = x - 1.4x
-0.026 = -0.4x
-0.026 / -0.4 = x
x = 0.065 or 6.50%
r = 0.1475 or 14.75%
Answer:
the times was interest earned in Year 3 is 11.2 times
Explanation:
The computation of the times interest earned ratio is given below:
The times interest earned ratio is
= (Net income+ Income tax expense+ Interest expense) ÷ Interest expense
= ($25,500 + $25,500 + $5,000) ÷ $5,000
= 11.2 times
Hence, the times was interest earned in Year 3 is 11.2 times
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