Question

Jan sold her house on December 31 and took a $10,000 mortgage as part of the payment. The 10-year mortgage has a 11% nominal interest rate, but it calls for semiannual payments beginning next June 30. Next year Jan must report on Schedule B of her IRS Form 1040 the amount of interest that was included in the two payments she received during the year. a. What is the dollar amount of each payment Jan receives? Round your answer to the nearest cent. $ b. How much interest was included in the first payment? Round your answer to the nearest cent. $ How much repayment of principal was included? Round your answer to the nearest cent. $ How do these values change for the second payment? The portion of the payment that is applied to interest declines, while the portion of the payment that is applied to principal increases. The portion of the payment that is applied to interest increases, while the portion of the payment that is applied to principal decreases. The portion of the payment that is applied to interest and the portion of the payment that is applied to principal remains the same throughout the life of the loan. The portion of the payment that is applied to interest declines, while the portion of the payment that is applied to principal also declines. The portion of the payment that is applied to interest increases, while the portion of the payment that is applied to principal also increases. c. How much interest must Jan report on Schedule B for the first year? Round your answer to the nearest cent. $ Will her interest income be the same next year? d. If the payments are constant, why does the amount of interest income change over time? As the loan is amortized (paid off), the beginning balance, hence the interest charge, increases and the repayment of principal increases. As the loan is amortized (paid off), the beginning balance, hence the interest charge, declines and the repayment of principal increases. As the loan is amortized (paid off), the beginning balance, hence the interest charge, declines and the repayment of principal declines. As the loan is amortized (paid off), the beginning balance, hence the interest charge, increases and the repayment of principal declines. As the loan is amortized (paid off), the beginning balance declines, but the interest charge and the repayment of principal remain the same.

Answer 1

	a	Dollar Amount of each Payment Received
	Pv	Amount of Loan	$10,000
	Rate	Interest rate per period of six months	0.055	(11/2)%
	Nper	Number of semi annual period of loan	20	(10*2)
	PMT	Dollar Amount of each Payment Received	$836.79	(using PMT function of excel with Rate=0.055, Nper=20, Pv=-10000)
	b	Interest amount of the first payment	$550.00	(10000*0.055)
		Principal amount of the first payment	$286.79	(836.79-550)
		Principal balance after first payment	$9,713.21	(10000-286.79)
		Interest amount of second payment	$534.23	(9713.21*0.055)
		Principal amount of the Second payment	$302.57	(836.79-534.23)
The portion of the payment that is applied to interest declines, while the portion of the payment that is applied to principal increases
	c	Amount of interest for the first year	$1,084.23	(550+534.23)
		Next year interest income willnot be the same. It will decrease
	d
	As the loan is amortized (paid off), the beginning balance, hence the interest charge, declines and the repayment of principal increases
		REPAYMENT SCHEDULE IS GIVEN BELOW
			A	B	C	D=B*0.055	E=C-D	F=B-E
			Semi annual Period	Beginning Balance	Total Payment	Interest amount	Principal Amount	Ending Balance
			0					$10,000.00
			1	$10,000	$836.79	$550.00	$286.79	$9,713.21
			2	$9,713	$836.79	$534.23	$302.57	$9,410.64
			3	$9,411	$836.79	$517.59	$319.21	$9,091.43
			4	$9,091	$836.79	$500.03	$336.76	$8,754.67
			5	$8,755	$836.79	$481.51	$355.29	$8,399.38
			6	$8,399	$836.79	$461.97	$374.83	$8,024.55
			7	$8,025	$836.79	$441.35	$395.44	$7,629.11
			8	$7,629	$836.79	$419.60	$417.19	$7,211.92
			9	$7,212	$836.79	$396.66	$440.14	$6,771.78
			10	$6,772	$836.79	$372.45	$464.35	$6,307.43
			11	$6,307	$836.79	$346.91	$489.88	$5,817.55
			12	$5,818	$836.79	$319.97	$516.83	$5,300.72
			13	$5,301	$836.79	$291.54	$545.25	$4,755.47
			14	$4,755	$836.79	$261.55	$575.24	$4,180.23
			15	$4,180	$836.79	$229.91	$606.88	$3,573.35
			16	$3,573	$836.79	$196.53	$640.26	$2,933.09
			17	$2,933	$836.79	$161.32	$675.47	$2,257.61
			18	$2,258	$836.79	$124.17	$712.62	$1,544.99
			19	$1,545	$836.79	$84.97	$751.82	$793.17
			20	$793	$836.79	$43.62	$793.17	($0.00)