Answer:
The lump sum be of $237,228.84
Explanation:
In order to calculate how large must the lump sum be we would have to use and calculate the formula of Present value of annuity due as follows:
Present value of annuity due=(1+interest rate)*Annuity[1-(1+interest rate)^-time period]/rate
Present value of annuity due=(1+0.075)*$25,000[1-(1.075)^-15]/0.075
Present value of annuity due=$25,000*9.489153726
Present value of annuity due=$237,228.84(Approx)
The lump sum be of $237,228.84
Answer:
the current share price is $73.31
Explanation:
The computation of the current share price is shown below:
P0 = [{D0 × (1 + g)} ÷ (1 + r1)] + [{D0 × (1 + g)^2} ÷ (1 + r1)^2] + [{D0 × (1 + g)^3} ÷ (1 + r1)^3] + [{D0 × (1 + g)^4} ÷ {(1 + r1)^3(1 + r2)}] + [{D0 × (1 + g)^5} ÷ {(1 + r1)^3(1 + r2)^2] + [{D0 × (1 + g)^6} ÷ {(1 + r1)^3(1 + r2)^3] + [{D0 × (1 + g)^7} ÷ {(rC - g)(1 + r1)^3(1 + r2)^3]
= [($4 × 1.06) ÷ 1.15] + [($4 × 1.062) ÷ 1.152] + [($4 × 1.063) ÷ 1.153] + [($4 × 1.064) ÷ (1.153 × 1.13)]
+ [($4 × 1.065) ÷ (1.153 × 1.132)] + [($4 × 1.066) ÷ (1.153 × 1.133)] + [($4 × 1.067) ÷ {(0.11 - 0.06)(1.153 × 1.133)}]
= $3.69 + $3.40 + $3.13 + $2.94 + $2.76 + $2.59 + $54.82
= $73.31
hence, the current share price is $73.31
The most cost effective way for John to buy a house is on installment basis or by using up all his savings
Answer:
4 millions
Explanation:
First, we will check how much was amortizate for the first loan:
Principal 100 million
on 10 equal payment
amortization per year 100/10 = 10 millions
we refinance at the end of the fourth installment
10 x 4 = 40 millions
The principal at the end of year four:
Principal 100 millions - 40 millions = 60 millions
This amount will be paid on 15 years with 15 equal payment
60 million / 15 years = 4 millions
