Financial Theory Knowledge Check - Solutions

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Oklahoma State University *

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4133

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Finance

Date

Apr 3, 2024

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xlsx

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8

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1) N 7 84 I 8% 0.006666666667 PV $0.00 PMT ? ($445.98) FV 50000 2) N $120.00 I 0.0083333333 PV ? ($158,909.44) PMT 2100 FV 0 3) N 30 360 N 120 I 4% 0.003333333333 I 0.0033333333 PV 170000 PV 170000 PMT ($811.61) PMT ($811.61) FV 0 FV ($133,932.73) 4) 3% 5% time 0 1 2 3 4 5 cf 35000 36050 37131.5 38245.445 39392.81 buy/sell 1000000 Total cf 35000 36050 37131.5 38245.445 1039393 NPV $943,963.42 5) You want to purchase a house in seven years and expect that you will need a down payment of $50,000 to purchase the house. If you can earn an 8% annual rate of interest on your investment, what constant amount do you have to invest at the end of each month will be worth $50,000 at the end of seven years? If your tenant pays you rent of $2,100 a month at the end of the month for 10 years, what is the present value of the series of payments discounted monthly at a 10% annual rate? You bought a home 10 years ago using a $170,000, 30-year mortgage at a rate of 4%. You are selling your home at the end of this month (the end of 10 years). How much do you owe to the bank upon selling? You are going to buy a commercial property where the tenants pays rent of $35,000 in the first year. The lease states that the each year after that. You plan to sell the property at the end of the fifth year for $1,000,000. Assume that the rent is paid ann other words, at the end of each year for the year just gone, rather than paid at the start of the year, in advance for the coming earn a 5% rate of return. What should you pay for this property. You are looking at a rental that pays you $20,000 the first year, $20,400 in year 2, $20,808 in year 3, and $21,224 in year 4. A words, at the end of each year for the year just gone, rather than paid at the start of the year, in advance for the coming yea end of year 4 for $75,000, what would your rate of return be?
time 0 1 2 3 4 cf 20000 20400 20808 21224 buy/sell -70000 75000 Total cf -70000 20000 20400 20808 96224 IRR 30% 6 5% time 0 1 2 3 4 cf 20000 20400 20808 21224 buy/sell Total cf 20000 20400 20808 21224 NPV $72,986.79 You are looking at a rental that pays you $20,000 the first year, $20,400 in year 2, $20,808 in year 3, and $21,224 in year 4. . you pay for this investment?
e rent grows by 3% nually in arrears (in g year). You want to Assume that the rent is paid annually in arrears (in other ar). If you paid $70,000 for the property and sold it at the
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If you need to make 4% rate of return. How much would
Interes only loan PV 100000 N 5 60 7.50% 0.00625 Fv 0 Pmt Loan Interes quaterly PV 100000 N 5 20 0.085 0.018875 Fv 0 Pmt ($6,049.48) PV 200000 pmt 1688 1432 N 180 240 FV 0 0 pmt(
7500 ($1,512.37) 0.75
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1) fv 50000 50000 r 8% 0.006667 pmt ($445.98) ($445.98) pv 0 0 n 7 84 2) pv $158,909.44 3) pmt ($811.61) fv ($133,932.73) 4) time 0 1 2 3 4 5 cf 35000 36050 37131.5 38245.45 39392.81 buy/sell 1000000 total cf 35000 36050 37131.5 38245.45 1039393 npv $943,963.42 5) time 0 1 2 3 4 cf 20000 20400 20808 21224 buy/sell -70000 75000 Total cf -70000 20000 20400 20808 96224 irr 30.40% You want to purchase a house in seven years and expect that you will need a down payment of $50,000 to purchase the house. If you can earn an 8% annual rate of interest on your investment, what constant amount do you have to invest at the end of each month will be worth $50,000 at the end of seven years? If your tenant pays you rent of $2,100 a month at the end of the month for 10 years, what is the present value of the series of payments discounted monthly at a 10% annual rate? You bought a home 10 years ago using a $170,000, 30-year mortgage at a rate of 4%. You are selling your home at the end of this month (the end of 10 years). How much do you owe to the bank upon selling? You are going to buy a commercial property where the tenants pays rent of $35,000 in the first year. The lease stat by 3% each year after that. You plan to sell the property at the end of the fifth year for $1,000,000. Assume that th in arrears (in other words, at the end of each year for the year just gone, rather than paid at the start of the year, in coming year). You want to earn a 5% rate of return. What should you pay for this property. You are looking at a rental that pays you $20,000 the first year, $20,400 in year 2, $20,808 in year 3, and $21,224 i (in other words, at the end of each year for the year just gone, rather than paid at the start of the year, in advance property and sold it at the end of year 4 for $75,000, what would your rate of return be?
tes that the rent grows he rent is paid annually n advance for the in year 4. Assume that the rent is paid annually in arrears e for the coming year). If you paid $70,000 for the