{"text_format":"1","workbook":"xlsx","n_sheets":5,"sheets":["Instructions","Input data","Calculated rates","W(t,u)","P(t)"],"not_rendered":{"charts":1,"images":2,"macros":1,"external_links":0,"defined_names":10,"comments":0,"pivot_tables":0},"unopened":[],"bounds":{"document_bytes":16777216,"sheet_cells":100000,"rows_first":2000,"rows_last":500,"rows_between":2000,"halvings":0,"cell_chars":16384,"cell_head_chars":4096},"cells_cut":0,"cells_raw":0,"read":"whole","date_system":"1900"}

{"sheet":"Instructions","index":0,"n_rows":32,"n_cols":6,"rows_kept":32,"cut":false,"hidden":false,"merged":[]}
[]
[null,"1.","Sheet \"Input data\" (Indtastet eksempel pr. 13. juni 2012)"]
[null,null,"This is where all input data is entered (no input in the other sheets)"]
[]
[null,null,"1.1.","Input parameters"]
[null,null,null,"UFR ","="," Ultimate Forward Rate (long term equillibrium rate) - 4,2 %"]
[null,null,null,"α ","="," measure for the speed of convergence towards the UFR with the Smith-Wilson method (default should be 0,1)"]
[null,null,null,"T2 ","="," number of years until the UFR is reached with the linear extrapolation method - 10 years"]
[null,null,null,"Maximum spread at T2","=","when the Smith-Wilson is calibrated, this is the maximum allowed spread at T2 - 0,03 %"]
[]
[null,null,"1.2.","Liquid data points"]
[null,null,null,"Maturity","=","number of years until the maturity for the swap (calculated from the maturity date and the calculation date)"]
[null,null,null,"Discount rate","=","Spot rate for euroswap + MAX(moving average of government spread;0) + MAX(½OAS;0)"]
[]
[null,null,"1.3.","Command Buttons"]
[null,null,null,"Calibrate alpha","=","calibrates the Smith-Wilson method so that the forward rate at T2 with the Smith-Wilson method is less than the maximum spread away from the UFR"]
[]
[null,"2.","Sheet \"Calculated rates\""]
[null,null,"Displays the calculated annual spot- and forward rates for the Smith-Wilson and linear method with and without the illiquidity premium"]
[]
[]
[null,null,"2.1.","Smith-Wilson"]
[null,null,null,"Forward rate at T2","=","the forward rate at T2 with the Smith-Wilson method (only used for calibrating the two methods)"]
[null,null,null,"Spot rate S-W","=","spot rate with no illiquidity premium for each maturity calculated with the Smith-Wilson method"]
[null,null,null,"Forward rate S-W","=","forward rate for each maturity calculated with the Smith-Wilson method"]
[]
[]
[null,"3.","Sheet \"W(t,u)\""]
[null,null,"Calculates the symmetric Wilson functions for all input data points"]
[]
[null,"4.","Sheet \"P(t)\""]
[null,null,"Calculates the prices for each annual maturity"]

{"sheet":"Input data","index":1,"n_rows":30,"n_cols":7,"rows_kept":30,"cut":false,"hidden":false,"merged":[]}
[]
[null,"Input parameters"]
[null,"UFR",4.2000000000000003E-2]
[null,"α",0.42400000000000004]
[null,"UFR continuos (UFRC)",5.0693114315518165E-2,{"$f":"LN(1+UFR)","v":4.1141943331175213E-2}]
[null,"T2 (years)",30]
[null,"Maximum spread at T2",2.9999999999999997E-4]
[]
[]
[null,"Maturity (years)","Discount rate",null,null,null,"Press this button to make the Smith-Wilson method reach UFR at T2"]
[null,1,4.6396093575318724E-3]
[null,2,6.9327502249759195E-3]
[null,3,9.2781187141597558E-3]
[null,4,1.162348720334359E-2]
[null,5,1.3968855692527425E-2]
[null,6,1.6314224181711259E-2]
[null,7,1.8659592670895096E-2]
[null,8,1.9749592670895096E-2]
[null,9,2.0719592670895091E-2]
[null,10,2.2059592670895096E-2]
[null,11,2.2565592670895095E-2]
[null,12,2.3071592670895091E-2]
[null,13,2.3577592670895087E-2]
[null,14,2.4083592670895087E-2]
[null,15,2.4589592670895093E-2]
[null,16,2.4509592670895093E-2]
[null,17,2.4429592670895093E-2]
[null,18,2.4349592670895093E-2]
[null,19,2.4269592670895093E-2]
[null,20,2.4189592670895092E-2]

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[]
[null,null,null,null,null,null,null,null,"Smith-Wilson",null,null,null,null,null,null,null,"Linear extrapolation"]
[null,"Maturity (years)","Spot rate","Spot rate continuos",null,"Xi_i","Forward rate linear extrapolation",null,"Forward rate at T2","Maturity (years)","Spot rate S-W","Forward rate S-W","Adjusted spot rate S-W",null,null,null,"Maturity (years)","Previous liquid maturity","Previous liquid spot rate","Next liquid maturity","Next liquid spot rate","Spot rate linear","Forward rate linear","Adjusted spot rate linear"]
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$2))-EXP(-alpha*MIN($A3,CG$2)))),\"\")","v":""},{"$f":"IF(AND(CG3<>\"\",CH2<>\"\"),EXP(-UFRC*($A3+CH$2))*(alpha*MIN($A3,CH$2)-0.5*EXP(-alpha*MAX($A3,CH$2))*(EXP(alpha*MIN($A3,CH$2))-EXP(-alpha*MIN($A3,CH$2)))),\"\")","v":""},{"$f":"IF(AND(CH3<>\"\",CI2<>\"\"),EXP(-UFRC*($A3+CI$2))*(alpha*MIN($A3,CI$2)-0.5*EXP(-alpha*MAX($A3,CI$2))*(EXP(alpha*MIN($A3,CI$2))-EXP(-alpha*MIN($A3,CI$2)))),\"\")","v":""},{"$f":"IF(AND(CI3<>\"\",CJ2<>\"\"),EXP(-UFRC*($A3+CJ$2))*(alpha*MIN($A3,CJ$2)-0.5*EXP(-alpha*MAX($A3,CJ$2))*(EXP(alpha*MIN($A3,CJ$2))-EXP(-alpha*MIN($A3,CJ$2)))),\"\")","v":""},{"$f":"IF(AND(CJ3<>\"\",CK2<>\"\"),EXP(-UFRC*($A3+CK$2))*(alpha*MIN($A3,CK$2)-0.5*EXP(-alpha*MAX($A3,CK$2))*(EXP(alpha*MIN($A3,CK$2))-EXP(-alpha*MIN($A3,CK$2)))),\"\")","v":""},{"$f":"IF(AND(CK3<>\"\",CL2<>\"\"),EXP(-UFRC*($A3+CL$2))*(alpha*MIN($A3,CL$2)-0.5*EXP(-alpha*MAX($A3,CL$2))*(EXP(alpha*MIN($A3,CL$2))-EXP(-alpha*MIN($A3,CL$2)))),\"\")","v":""},{"$f":"IF(AND(CL3<>\"\",CM2<>\"\"),EXP(-UFRC*($A3+CM$2))*(alpha*MIN($A3,CM$2)-0.5*EXP(-alpha*MAX($A3,CM$2))*(EXP(alpha*MIN($A3,CM$2))-EXP(-alpha*MIN($A3,CM$2)))),\"\")","v":""},{"$f":"IF(AND(CM3<>\"\",CN2<>\"\"),EXP(-UFRC*($A3+CN$2))*(alpha*MIN($A3,CN$2)-0.5*EXP(-alpha*MAX($A3,CN$2))*(EXP(alpha*MIN($A3,CN$2))-EXP(-alpha*MIN($A3,CN$2)))),\"\")","v":""},{"$f":"IF(AND(CN3<>\"\",CO2<>\"\"),EXP(-UFRC*($A3+CO$2))*(alpha*MIN($A3,CO$2)-0.5*EXP(-alpha*MAX($A3,CO$2))*(EXP(alpha*MIN($A3,CO$2))-EXP(-alpha*MIN($A3,CO$2)))),\"\")","v":""},{"$f":"IF(AND(CO3<>\"\",CP2<>\"\"),EXP(-UFRC*($A3+CP$2))*(alpha*MIN($A3,CP$2)-0.5*EXP(-alpha*MAX($A3,CP$2))*(EXP(alpha*MIN($A3,CP$2))-EXP(-alpha*MIN($A3,CP$2)))),\"\")","v":""},{"$f":"IF(AND(CP3<>\"\",CQ2<>\"\"),EXP(-UFRC*($A3+CQ$2))*(alpha*MIN($A3,CQ$2)-0.5*EXP(-alpha*MAX($A3,CQ$2))*(EXP(alpha*MIN($A3,CQ$2))-EXP(-alpha*MIN($A3,CQ$2)))),\"\")","v":""},{"$f":"IF(AND(CQ3<>\"\",CR2<>\"\"),EXP(-UFRC*($A3+CR$2))*(alpha*MIN($A3,CR$2)-0.5*EXP(-alpha*MAX($A3,CR$2))*(EXP(alpha*MIN($A3,CR$2))-EXP(-alpha*MIN($A3,CR$2)))),\"\")","v":""},{"$f":"IF(AND(CR3<>\"\",CS2<>\"\"),EXP(-UFRC*($A3+CS$2))*(alpha*MIN($A3,CS$2)-0.5*EXP(-alpha*MAX($A3,CS$2))*(EXP(alpha*MIN($A3,CS$2))-EXP(-alpha*MIN($A3,CS$2)))),\"\")","v":""},{"$f":"IF(AND(CS3<>\"\",CT2<>\"\"),EXP(-UFRC*($A3+CT$2))*(alpha*MIN($A3,CT$2)-0.5*EXP(-alpha*MAX($A3,CT$2))*(EXP(alpha*MIN($A3,CT$2))-EXP(-alpha*MIN($A3,CT$2)))),\"\")","v":""},{"$f":"IF(AND(CT3<>\"\",CU2<>\"\"),EXP(-UFRC*($A3+CU$2))*(alpha*MIN($A3,CU$2)-0.5*EXP(-alpha*MAX($A3,CU$2))*(EXP(alpha*MIN($A3,CU$2))-EXP(-alpha*MIN($A3,CU$2)))),\"\")","v":""},{"$f":"IF(AND(CU3<>\"\",CV2<>\"\"),EXP(-UFRC*($A3+CV$2))*(alpha*MIN($A3,CV$2)-0.5*EXP(-alpha*MAX($A3,CV$2))*(EXP(alpha*MIN($A3,CV$2))-EXP(-alpha*MIN($A3,CV$2)))),\"\")","v":""},{"$f":"IF(AND(CV3<>\"\",CW2<>\"\"),EXP(-UFRC*($A3+CW$2))*(alpha*MIN($A3,CW$2)-0.5*EXP(-alpha*MAX($A3,CW$2))*(EXP(alpha*MIN($A3,CW$2))-EXP(-alpha*MIN($A3,CW$2)))),\"\")","v":""},{"$f":"IF(A3=\"\",0,1)","v":1}]
[{"$f":"'Calculated rates'!B5","v":2},0.20941348823377187,0.37298670676514312,0.4728146332199159,0.52589542188890992,0.55000444237381041,0.55628982127107307,0.55173810172595716,0.54072276555326015,0.52597675192874682,0.50920322044030031,0.49145911591584052,0.47339604323110007,0.45541152709567034,0.43774399032023864,0.42053238550302297,0.40385362820625492,0.38774608918447018,0.37222433176316805,0.35728835144757704,0.3429293633299389,"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",{"$f":"IF(A4=\"\",0,1)","v":1}]
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[{"$f":"'Calculated rates'!B69","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",{"$f":"IF(A68=\"\",0,1)","v":0}]
[{"$f":"'Calculated rates'!B70","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",0]
[{"$f":"'Calculated rates'!B71","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",0]
[{"$f":"'Calculated rates'!B72","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",0]
[{"$f":"'Calculated rates'!B73","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",0]
[{"$f":"'Calculated rates'!B74","v":""},"","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","","",0]
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