FINA4121 HW3-1
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University of Minnesota-Twin Cities *
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Course
4121
Subject
Finance
Date
Jan 9, 2024
Type
xlsx
Pages
17
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We need to determine how much interest rate risk we will have when we give out these
Determine the cashflows of all loans, and total durations. Your discount rate will be in Fu
You will want to do this in a clever way, instead of individually calculating them.
A sheet (LoanCashflows) has been created for you. Feel free to change the format to sui
Remember, use as many sheets and as much space as you need!
If you are unable to do this, use the "Generic Book" sheet and determine the duration an
+ difficult
Determine the IRR of loans
Once you have determined your book's risk, let's immunize it!
Issue enough debt to bring your book's duration to +/- 0.5
Issue enough debt to have +/- $5,000,000
+ difficult
Issue at least 2 pieces of debt
+ difficult
Determine the IRR of debt
+ difficult
Can you do it efficiently (lowest IRR of debt)
e loans.
undingEstimates, not the rate on the loan!
it your needs.
nd IRR there.
FIX5
PV
FIX10
PV
1 y1
$5,578,815.41 $5,275,475.57 $1,563,855.30 $1,478,822.98 2 y2
$5,578,815.41 $9,971,600.30 $1,563,855.30 $2,795,242.16 3 y3
$5,578,815.41 $14,124,073.70 $1,563,855.30 $3,959,264.82 4 y4
$5,578,815.41 $17,776,183.87 $1,563,855.30 $4,983,025.50 5 y5
$5,578,815.41 $20,972,366.13 $1,563,855.30 $5,878,980.32 6 y6
$27,894,077.05 $68,119,699.56 $1,563,855.30 $6,648,535.77 7 y7
$1,563,855.30 $7,304,456.05 8 y8
$1,563,855.30 $7,855,383.95 9 y9
$1,563,855.30 $8,316,658.68 10 y10
$1,563,855.30 $8,707,810.18 11 y11
$15,638,553.05 $57,928,180.41 12 y12
13 y13
14 y14
15 y15
16 y16
17 y17
18 y18
19 y19
20 y20
Tenor
Yield
Mod Duration
1
0.0575
0.9430
2
0.0578
1.8365
3
0.0582
2.6799
4
0.0585
3.4778
5
0.0587
4.2247
6
0.0591
4.9287
7
0.0595
5.5897
8
0.0599
6.2123
9
0.0602
6.7932
10
0.0603
7.3471
11
0.0608
7.8521
12
0.0613
8.3244
13
0.0618
8.7578
14
0.0623
9.1615
15
0.0628
9.5344
16
0.0639
9.8674
17
0.0648
10.1653
18
0.0651
10.4376
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19
0.0656
10.6830
20
0.0654
10.9402
CFs
FIX15
PV
ADJ0510
PV
($79,500,000)
$2,751,878.26 $2,602,248.94 $2,562,632.50 $2,423,293.14 $12,457,181.47 $2,751,878.26 $4,918,719.85 $2,562,632.50 $4,580,461.10 $12,457,181.47 $2,751,878.26 $6,967,022.29 $2,562,632.50 $6,487,902.47 $12,457,181.47 $2,751,878.26 $8,768,509.14 $2,562,632.50 $8,165,501.66 $12,457,181.47 $2,751,878.26 $10,345,099.12 $13,320,763.97 $50,076,569.75 $23,215,312.94 $2,751,878.26 $11,699,267.18 $23,571,293.96 $71,733,728.12 $4,315,733.56 $2,751,878.26 $12,853,474.19 $4,315,733.56 $2,751,878.26 $13,822,928.67 $4,315,733.56 $2,751,878.26 $14,634,622.61 $4,315,733.56 $2,751,878.26 $15,322,922.43 $4,315,733.56 $2,751,878.26 $15,814,420.44 $2,751,878.26 $2,751,878.26 $16,171,581.45 $2,751,878.26 $2,751,878.26 $16,406,547.36 $2,751,878.26 $2,751,878.26 $16,530,908.12 $2,751,878.26 $2,751,878.26 $16,555,690.17 $2,751,878.26 $41,278,173.89 $183,413,961.97 $0.00 $0.00 $0.00 $0.00 $0.00 IRR:
Dollar Duration:
Mod Duration:
PV
-
$ 11,779,840.635 $ 22,266,023.415 $ 31,538,263.277 $ 39,693,220.165 $ 87,273,015.311 $ 18,347,802.954 $ 20,157,930.239 $ 21,678,312.624 $ 22,951,281.287 $ 24,030,732.614 $ 15,814,420.438 $ 16,171,581.449 $ 16,406,547.356 $ 16,530,908.124 $ 16,555,690.167 $ - $ - $ - $ - $ - $ 381,195,570.06 6.301%
$ 358,601,670.59 4.511
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Tenor
Yield
Mod DurationFunding D$
Weight
1
5.75%
0.94
$ 1,150,000.00 $ 1,084,499.22 1.4465%
2
5.78%
1.84 $ 16,000,000.00 $ 29,383,642.28 20.126%
3
5.82%
2.68 $ 20,000,000.00 $ 53,597,081.71 25.157%
4
5.85%
3.48
$ - 5
5.87%
4.22
$ - 6
5.91%
4.93
$ - 7
5.95%
5.59
$ - 8
5.99%
6.21 $ 30,000,000.00 $ 186,367,567.01 37.736%
9
6.02%
6.79
$ - 10
6.03%
7.35 $ 12,000,000.00 $ 88,164,725.18 15.094%
11
6.08%
7.85
$ - 12
6.13%
8.32
$ - 13
6.18%
8.76
$ - 14
6.23%
9.16
$ - 15
6.28%
9.53
$ - 16
6.39%
9.87
$ - 17
6.48%
10.17
$ - 18
6.51%
10.44
$ - 19
6.56%
10.68
$ - 20
6.54%
10.94
$ - $ (79,500,000.00)
Totals:
$ 79,150,000.00 $ 358,597,515.40 100%
Loans:
$ 79,500,000.00 $ 358,601,670.59 Tenor
Yield
Mod DurationFunding D$
Weight
1
5.75%
0.94
$ 2,000,000.00 $ 1,886,085.60 2.5157%
2
5.78%
1.84
$ 1,000,000.00 $ 1,836,477.64 1.258%
3
5.82%
2.68 $ 20,000,000.00 $ 53,597,081.71 25.157%
4
5.85%
3.48
$ - 5
5.87%
4.22
$ - 6
5.91%
4.93
$ - 7
5.95%
5.59
$ - 8
5.99%
6.21 $ 33,300,000.00 $ 206,867,999.38 41.887%
9
6.02%
6.79
$ - 10
6.03%
7.35 $ 23,000,000.00 $ 168,982,389.93 28.931%
11
6.08%
7.85
$ - 12
6.13%
8.32
$ - 13
6.18%
8.76
$ - 14
6.23%
9.16
$ -
15
6.28%
9.53
$ - 16
6.39%
9.87
$ - 17
6.48%
10.17
$ - 18
6.51%
10.44
$ - 19
6.56%
10.68
$ - 20
6.54%
10.94
$ - $ (79,500,000.00)
Totals:
$ 79,300,000.00 $ 433,170,034.26 100%
Loans:
$ 79,500,000.00 $ 358,601,670.59
Duration
PV
Book’s duration between -0.5 to 0.5, and yo
0.0136
$ 1,087,470.45 0.3696 $ 28,598,473.54 Loan:
IRR:
6.301%
0.6742 $ 50,634,669.40 Dollar Duration:
$ 358,601,670.59 Mod Duration:
4.511
4.511 =W1D1+W2D2+W3D3
2.3442 $ 150,692,661.89 Debt:
IRR:
0.173%
Dollar Duration:
$ 358,597,515.40 1.1090 $ 66,818,024.59 Mod Duration:
4.511
4.51 $ 297,831,299.86 Duration
PV
Loan:
IRR:
6.301%
0.0237
$ 1,891,252.96 Dollar Duration:
$ 358,601,670.59 0.0231
$ 1,787,404.60 Mod Duration:
4.511
0.6742 $ 50,634,669.40 Debt:
IRR:
0.122%
Dollar Duration:
$ 349,223,518.57 Mod Duration:
4.404
2.6021 $ 167,268,854.70 2.1256 $ 128,067,880.46
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5.45 $ 349,650,062.11
ou should issue enough debt to be within $5 million of the total loan book
Loan Duration
4.51
Loan Dollar Duration
$ 358,601,670.59 Debt Duration
4.51
Debt Dollar Duration
$ 358,597,515.40 Portfolio After Duration
$ 79,150,000.00 Tenor
Issue Amount
1
$ 1,150,000.00 2 $ 16,000,000.00 3 $ 20,000,000.00 4
-
5
-
6
-
7
-
8 $ 30,000,000.00 9
-
10 $ 12,000,000.00 11
-
12
-
13
-
14
-
15
-
16
-
17
-
18
-
19
-
20
-
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ProductID
Rate
FIX5
6.000% Fixed for whole 5 years.
FIX10
6.250% Fixed for whole 10 years.
FIX15
6.500% Fixed for whole 15 years.
ADJ0510
6.125% Fixed for 5 years, but amortization schedule is as if it's being paid over 10.
FIX5
FIX10
FIX15
ADJ0510
18750000
500000
250000
1500000
5000000
$17,335,805.00 1500000
125000
750000
250000
$15,834,990.56 125000
500000
5000000
1000000
$14,242,251.23 1000000
1000000
500000
125000
$12,551,956.62 750000
1500000
500000
750000
$13,320,763.97 250000
500000
125000
500000
125000
1000000
1500000
5000000
5000000
5000000
1000000
5000000
1000000
1500000
1000000
125000
250000 11,375,000 750000
750000
1500000
125000
125000
5000000
($1,563,855.30)
500000
125000
1500000
5000000 18,750,000.00 5000000
1000000
23,500,000 125000
($2,562,632.50)
5000000
($5,578,815.41)
1500000
25,875,000 ($2,751,878.26)
. In year 5, customer has balloon payment of rest of the balance.
Borrow amount
APR
ProductID
$250,000 6.250% FIX10
$1,500,000 6.500% FIX15
$5,000,000 6.125% ADJ0510
$750,000 6.500% FIX15
$125,000 6.250% FIX10
$500,000 6.000% FIX5
$500,000 6.250% FIX10
$1,500,000 6.000% FIX5
$5,000,000 6.500% FIX15
$500,000 6.500% FIX15
$1,000,000 6.250% FIX10
$500,000 6.500% FIX15
$125,000 6.500% FIX15
$1,500,000 6.500% FIX15
$1,500,000 6.250% FIX10
$125,000 6.000% FIX5
$1,000,000 6.500% FIX15
$250,000 6.125% ADJ0510
$1,000,000 6.125% ADJ0510
$500,000 6.250% FIX10
$1,000,000 6.000% FIX5
$1,000,000 6.500% FIX15
$750,000 6.000% FIX5
$750,000 6.500% FIX15
$250,000 6.000% FIX5
$125,000 6.000% FIX5
$5,000,000 6.000% FIX5
$125,000 6.500% FIX15
$1,000,000 6.000% FIX5
$500,000 6.500% FIX15
$250,000 6.000% FIX5
$125,000 6.125% ADJ0510
$750,000 6.125% ADJ0510
$1,000,000 6.250% FIX10
$500,000 6.125% ADJ0510
$5,000,000 6.500% FIX15
$5,000,000 6.125% ADJ0510
$5,000,000 6.125% ADJ0510
$1,000,000 6.500% FIX15
$1,500,000 6.000% FIX5
$125,000 6.125% ADJ0510
$5,000,000 6.000% FIX5
$125,000 6.500% FIX15
$750,000 6.125% ADJ0510
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$5,000,000 6.250% FIX10
$1,500,000 6.250% FIX10
$125,000 6.125% ADJ0510
$1,500,000 6.000% FIX5
$125,000 6.125% ADJ0510
$5,000,000 6.000% FIX5
$5,000,000 6.500% FIX15
$1,500,000 6.500% FIX15
$79,500,000
Loan Cashflows
$111,594,234.42 Duration of Cashflows
Dollar duration
y1
$14,000,000 y2
$14,000,000 y3
$14,000,000 y4
$14,000,000 y5
$20,594,234 y6
$5,000,000 y7
$5,000,000 y8
$5,000,000 y9
$5,000,000 y10
$3,000,000 y11
$3,000,000 y12
$3,000,000 y13
$3,000,000 y14
$3,000,000 y15
y16
y17
y18
y19
y20
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Related Questions
- Suppose you are shopping for a mortage and the lender presents you with long menu on loan options. For each option, there is a discount point charged at an interest rate given. The amount of the point ranges anywhere from -2% to 3%. When would it be optimal for you select a loan with a discount point of 3%? Group of answer choices 1) Only when the point is equal to the effective borrowing cost 2) Never 3) Only with ARM 4) If you have a very short holding period 5) If you have a very long holding periodarrow_forwardIn cell B12, create a formula using the PMT function to calculate the monthly payments for loan Option A. Use the values in cells B8, B10, and B5 for the Rate, Nper, and Pv arguments, respectively, and do not enter any values for the optional arguments. Copy the formula you created in cell B12 into the range C12:D12.arrow_forward6. Calculating simple interest and APR on a single-payment loan You are taking out a single-payment loan that uses the simple interest method to compute the finance charge. You need to figure out what your payment will be when the loan comes due. The equation to calculate the finance charge is: FsFs = P r t In the equation, FsFs is the finance charge for the loan. What are the other values? P is the amount of the loan. r is the stated rate of interest. t is the term of the loan in . You’re borrowing $4,000 for a year and a half with a stated annual interest rate of 10%. Complete the following table. (Note: Round your answers to the nearest dollar.)arrow_forward
- Pay day loans are short term loans that you take out against future paychecks: The company advances you money against a future paycheck. Either visit a pay day loan company, or look one up online. Be forewarned that many companies do not make their fees obvious, so you might need to do some digging or look at several companies. Explain the general method by which the loan works.arrow_forwardWhich of these statements is true? A)There is no reason to pay off a loan early B) when shopping for a loan, you need to compare only APRs C) the more you owe, the higher your interest payment will be D) you can save money by making the smallest down payment the lender will allowarrow_forwardAlice’s second initiative calls for Fresh & Fruity to obtain a bank loan of a sufficient size to enable the company to take all suppliers’ discounts. What is the minimum size of this loan? (Hint: To take all suppliers’ discounts, the average payment period must be 10 days, and net purchases will be purchases – (Purchases from Figure 1 x .02). Assume that all this happens, and solve the following formula for the new accounts payable balance, using: Accounts payable = Average payment period x Purchase per day* *Based on net purchases/360. Now compare the accounts payable you just solved with the new accounts payable balance you found in question 3. The difference is the size of the loan that is required. Assume that Fresh &Fruity does obtain an 8 percent loan for one year in the amount you solved in question 5, and it reduces its accounts payable balance accordingly. Now the company is taking 2 percent discounts on all purchases and paying 8 percent a year on the loan…arrow_forward
- Suppose you are shopping for a mortgage and the lender presents you with a long menu of loan options. For each option, there is a discount point charged and an interest rate given. The amount of the point ranges anywhere from -1% to 3%. When would it be optimal for you select a loan with a point of 2%? (Assume there is no affordability constraint, ie: you have the money to buy whatever point you would like). If you have a very short holding period O Never O If you have a very long holding period O Only when the point is equal to the effective borrowing cost O Alwaysarrow_forwardcan you please show the step by step solution. please do not skip steps. Please try to refrain from using Excelarrow_forwardYou are taking out a single-payment loan that uses the simple interest method to compute the finance charge. You need to figure out what your payment will be when the loan comes due. The equation to calculate the finance charge is: FsFs = Amount of Loanx Interest Ratex Term of Loan where FsFs is the finance charge for the loan, and the term of the loan is in . You’re borrowing $10,000 for two years with a stated annual interest rate of 6%.arrow_forward
- Watch the Mathematics of Finance video and then answer the question given below. Simple interest loans are generally used for which type of loan? Click here to watch the video. Choose the correct description of a simple interest loan. A. Home Mortgage loans B. Short term loans of less than a year C. Car loans D. Long term loans of a year or morearrow_forwardPlease show all equations and work as needed. Make the correct answer clear. If possible, please type work so it can be copied. Thank you.arrow_forwardExplain in your own words the difference between the lender's yield and the effective borrowing cost. What are mortgage discount points? When does it make sense to pay points on a loan? How can a borrower make a decision? Find a web source where you can compare mortgage options. Post a link here and discuss the clarity of information provided.arrow_forward
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