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Ann [662]
3 years ago
5

A borrower takes out a 30-year adjustable rate mortgage loan for $200,000 with monthly payments. The first two years of the loan

have a "teaser" rate of 4%, after that, the rate can reset with a 5% annual payment cap. On the reset date, the composite rate is 6%. What would the Year 3 monthly payment be?
a. $955
b. $1,067
c. $1,003
d. $1,186
e. Because of the payment cap, the payment would not change.
Business
1 answer:
lara31 [8.8K]3 years ago
6 0

Answer:

1003

Explanation:

Given:

Period= 30 years, Loan amount= $200,000,

Payments- Monthly,

Teaser rate for first 2 years = 4%,

Annual payment cap=5%, Composite rate on reset date= 6%

Annual rate for 2 years =4%

Monthly rate will be 4/12 = 0.3333% = 0.003333

n=30years=360 months

Monthly payment for first 2 years = Pr(1+r)^n/((1+r)^n-1)

= 200000\times0.0033\times1.033^{360}/(1.033^{360}-1)

= 954.83

or by Excel function = PMT(0.003333,360,200000,0) = 954.83

Loan balance after 2 years = PV(0.003333,336,-954.83,0) = 192,812.36 or

Balance=A(1+r)^n-PMT\times(1+r)^n-1)/i

=200000(1.0033)^{24}-954.83(1+0.003333)^{24}-1)/0.003333

= 192,812.36

Composite rate is 6% but payment is capped at 5%. So new payment from year 3 is 954.83×1.05=1002.57=1003

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Calla Company produces skateboards that sell for $56 per unit. The company currently has the capacity to produce 95,000 skateboa
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Answer:

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Three-column comparative Income Statement:

                                                  Normal         Special order       Total

Sales Revenue                       $4,580,800         $673,200     $5,254,000

Cost of sales:

Direct materials                      $ 981,600           $158,400       $1,140,000

Direct labor                                613,500              99,000            712,500

Overhead                                  954,000              76,973         1,030,973

Selling expenses                      558,000               84,151             642,151

Administrative expenses          477,000                  890            477,890

Total costs and expenses  $ 3,584,100           $419,414      $4,003,514

Net income                           $ 996,700         $ 253,786     $1,250,486

Explanation:

a) Data and Calculations:

Annual production capacity = 95,000 units

Actual annual production and sales = 81,800 units

Special order (units) = 13,200

Selling price (normal) = $56 per unit

Special order selling price = $51 per unit

Direct materials                      $ 981,600

Direct labor                                613,500

Overhead                                  954,000

Selling expenses                      558,000

Administrative expenses          477,000

Total costs and expenses  $ 3,584,100

Three-column comparative Income Statement:

                                                  Normal         Special order       Total

Sales volume                             81,800                  13,200         95,000

Selling price                                $56                     $51    

Sales Revenue                       $4,580,800         $673,200     $5,254,000

Cost of sales:

Direct materials                      $ 981,600           $158,400       $1,140,000

Direct labor                                613,500              99,000            712,500

Overhead                                  954,000              76,973         1,030,973

Selling expenses                      558,000               84,151             642,151

Administrative expenses          477,000                  890            477,890

Total costs and expenses  $ 3,584,100           $419,414      $4,003,514

Net income                           $ 996,700         $ 253,786     $1,250,486

1. Direct materials cost per unit = $981,600/81,800 = $12

2. Direct labor cost per unit = $613,500/81,800 = $7.50

3. Variable Overhead cost = $954,000/2 = $477,000

Variable overhead cost per unit = $477,000/81,800 = $5.83129

4. Variable selling expenses = 70% of $558,000 = $390,600

Variable selling expenses per unit = $390,600/81,800 = $4.77506

Additional selling expense per unit = $6.37506 ($4.77506 + $1.60)

Selling expense for special order = 84,151($6.37506 * 13,200)

5. Administrative expenses increased by $890

8 0
3 years ago
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