File View 001 DAN Home Comment Ti SnapShot Clipboard - Form Fit Page Fit Width Protect Share 145.66% Rotate left Connect Help TT 11 Extras T I Ona Find File Attachment Image Annotation n J W03.pdf - Foxit Reader Tell me what you want to do.. From Scanner & Link * Blank Rookmark W03.pdf - Foxit Reader Tell me what you want to do.. From Scanner Link Blank Bookmark PDF a From Clipboard Sign Create Protect Links 20: 1 DA File Home Comment View Form Tin T O Snapshot Fit Page Clipboard - 9 D Fit Width Hand Select Actual Connect Help 0 TL Extras T - Protect Share 121.86% Rotate Left Rotate Right View oma Find File Attachment Image Annotation O Audio & Video Typewriter Highlight From Size Fit Visible Reflow File Tools Comment Insert Start W03.pdf Merge and split PDFs 2 A waterside worker is commencing his last decade prior to retirement. His disposable income during this decade will be 1000 (thousands of dollars). He expects to live one further decade beyond retirement but to have no disposable income in that period. The bond market offers a nominal interest rate of i = 0.7 (70%) per decade and no inflation is expected between the two decades, implying the price level P=1 in both decades. His discount rate is 5=0.5 (50% per decade) and the elasticity of his decade utility to his decade consumption is 0.6, implying that period utility depends on period consumption as Ut = AC0.6, where A is a constant for which calibration is not needed. a) Formulate the worker's inter-temporal budget constraint and illustrate it in a diagram. b) Use the Euler equation for optimal inter-temporal choice (below) to calculate how much the worker consumes and saves. From these derive his saving rate out of his disposable income. We can write the Euler equation as: U'(C) MUC = ,9 = MRSc, =MRTCC, = (1+r) U'(C)/(1+8) MUC c) Explain whether this person's saving rate out of disposable income would increase or decrease if the yield on bonds rose. File View 001 DAN Home Comment Ti SnapShot Clipboard - Form Fit Page Fit Width Protect Share 145.66% Rotate left Connect Help TT 11 Extras T I Ona Find File Attachment Image Annotation n J W03.pdf - Foxit Reader Tell me what you want to do.. From Scanner & Link * Blank Rookmark W03.pdf - Foxit Reader Tell me what you want to do.. From Scanner Link Blank Bookmark PDF a From Clipboard Sign Create Protect Links 20: 1 DA File Home Comment View Form Tin T O Snapshot Fit Page Clipboard - 9 D Fit Width Hand Select Actual Connect Help 0 TL Extras T - Protect Share 121.86% Rotate Left Rotate Right View oma Find File Attachment Image Annotation O Audio & Video Typewriter Highlight From Size Fit Visible Reflow File Tools Comment Insert Start W03.pdf Merge and split PDFs 2 A waterside worker is commencing his last decade prior to retirement. His disposable income during this decade will be 1000 (thousands of dollars). He expects to live one further decade beyond retirement but to have no disposable income in that period. The bond market offers a nominal interest rate of i = 0.7 (70%) per decade and no inflation is expected between the two decades, implying the price level P=1 in both decades. His discount rate is 5=0.5 (50% per decade) and the elasticity of his decade utility to his decade consumption is 0.6, implying that period utility depends on period consumption as Ut = AC0.6, where A is a constant for which calibration is not needed. a) Formulate the worker's inter-temporal budget constraint and illustrate it in a diagram. b) Use the Euler equation for optimal inter-temporal choice (below) to calculate how much the worker consumes and saves. From these derive his saving rate out of his disposable income. We can write the Euler equation as: U'(C) MUC = ,9 = MRSc, =MRTCC, = (1+r) U'(C)/(1+8) MUC c) Explain whether this person's saving rate out of disposable income would increase or decrease if the yield on bonds rose
