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Rasek [7]
3 years ago
6

A 3/1 ARM is made for $150,000 at 7% with a 30 year maturity. Assuming that fixed payments are to be made monthly for three year

s and that the loan is fully amortizing, what will be the monthly payments?
Business
1 answer:
sveticcg [70]3 years ago
8 0

Answer:

Monthly paymenty for  $ 997.954

Explanation:

We have to calcualte for the PTM of the mortgage for the first three years at which the rate is fixed:

PV \div \frac{1-(1+r)^{-time} }{rate} = C\\

PV $150,000

time 360 (30 years x 12 months)

rate 0.005833333 (7% annual / 12 months)

150000 \div \frac{1-(1+0.005833)^{-360} }{0.005833} = C\\

C  $ 997.954

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Read 2 more answers
For the last 20 years, Terry has made regular quarterly payments in the amount of $308 into an account paying 1. 5% compounded q
Alexxx [7]

The amount that will be received by Terry at the end of every year for 10 years is $<u>3,803.97</u>

Computations:

1. First the future value will be computed:

Given,

A =$308, Annuity or the quarterly payment amount.

r =1.5%, the rate of interest to be paid quarterly; thus the effective rate of interest will be: 0.375% (\frac{1.5\%}{4})

n = 20 years, number of periodic payments, but the effective time period for the computation will be 80 payments that are: (20\times4(\text{quarter}))

\begin{aligned}\text{Future Value}&=\dfrac{A\times(1+r)^n-1}{r}\\&=\dfrac{\$308\times(1+0.00375)^{80}-1}{0.00375}\\&=\$28,672.88\end{aligned}

2. From the determined future value that will be used in the present value formula, where 5.5% interest compounded at which Terry will receive an amount for every 10 years will be computed.

Given,

Present value =$28,672.88

r =5.5%, the coumpounded rate of interest

n =10 years

\begin{aligned}\text{Present Value}&=\dfrac{A(1+r)^n-1}{r(1+r)^n}\\\$28,672.88&=\dfrac{A(1+0.055)^{10}-1}{0.055(1+0.055)^{10}}\\A&=\dfrac{7.537}{\$28,672.88}\\A&=\$3,803.97\end{aligned}

Therefore, after the payment of $308 for 20 years, Terry will start receiving the amount of $3,803.97 every 10 years.

To know more about the future value and present value, refer to the link:

brainly.com/question/14799840

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